Organisation Of Data In Statistics! Hardest Trivia Quiz

  • Grade 7th,
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  • Grade 9th
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| By Anthony Nunan
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Anthony Nunan
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Quizzes Created: 132 | Total Attempts: 49,736
| Attempts: 533 | Questions: 139 | Updated: Mar 22, 2025
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Question 1 / 139
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1) The image above is :

Explanation

The image above is a stem & leaf plot. This type of plot is used to display numerical data in a visual format. The plot consists of a vertical line (the stem) and numbers (the leaves) that are arranged in ascending order. The stem represents the first digit(s) of the numbers, while the leaves represent the last digit(s). This plot allows for easy identification of the distribution and patterns in the data.

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About This Quiz
Organisation Of Data In Statistics! Hardest Trivia Quiz - Quiz

Dive into the 'Organisation of Data in Statistics! Hardest Trivia Quiz' to challenge your understanding of variable types. This quiz assesses your ability to classify variables as continuous, discrete, or categorical, enhancing your statistical data handling skills.

2) I have collected the scores for the latest Geography test, and created the stem & leaf plot above. The value '0' is almost certainly an outlier. What is my range?

Explanation

Outliers do not effect the range.

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3) The image above is a :

Explanation

The given answer "histogram" is correct because a histogram is a graphical representation of the distribution of a dataset. It consists of bars that represent different ranges or intervals of data, with the height of each bar indicating the frequency or count of data points within that range. The image provided resembles a histogram as it displays bars representing different intervals and their corresponding frequencies.

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4) For the image above, the modal class is :

Explanation

The modal class is L, large because it is the class with the highest frequency in the given image.

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5) For the data shown above, what percentage (to the nearest whole number) of people wore large shirts :

Explanation

The given answer of 26,26% suggests that 26 out of the total number of people wore large shirts. This can be calculated by dividing the number of people who wore large shirts (26) by the total number of people and then multiplying by 100 to get the percentage. In this case, the calculation would be (26/100) x 100 = 26%.

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6) For the data shown above, what percentage (to the nearest whole number) of people wore small shirts :

Explanation

The given answer of 11,11% is correct because it represents the percentage of people who wore small shirts. Since the question asks for the percentage to the nearest whole number, we round the answer to 11%.

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7) For the data shown above, what percentage (to the nearest whole number) of people ate pies for lunch :

Explanation

The given answer of 8,8% is correct because it represents the percentage of people who ate pies for lunch. The question asks for the percentage of people, and the answer provides this information. The answer is rounded to the nearest whole number, which is 9%.

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8) The bar chart above shows the lunch choices for a group of people. How many people were surveyed?

Explanation

The answer is 26 because the bar chart shows the lunch choices for a group of people and there are 26 bars representing each lunch choice. Each bar represents one person's choice, so there must have been 26 people surveyed.

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9) The bar chart above shows the lunch choices for a group of people. The pies and sandwiches come from the bakery, while the sausages, burgers and fish & chips come from the local takeaway store. What percentage (to the nearest whole number) of people bought their lunch from the takeaway store?

Explanation

The correct answer is 62,62%. This means that 62% of the people bought their lunch from the takeaway store.

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10) The bar chart above could be described as 'approximately symmetrical'

Explanation

Generally, Bar Charts have no 'shape' as the order of the x axis is arbitrary. However, this bar chart has logic to its order, so you could say it is symmetrical and be correct.

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11) The bar chart above could be described as 'approximately symmetrical'

Explanation

Bar Charts have no 'shape' as the order of the x axis is arbitrary

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12) What is the frequency of the modal class for this histogram

Explanation

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13) What is the frequency of the modal class for this histogram

Explanation

The frequency of the modal class for this histogram is 25.

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14) I have collected data relating to :
  • the length of a foot in centimetres
This variable is a :

Explanation

The given variable, "the length of a foot in centimeters," is a continuous numerical variable because it represents a measurement that can take on any value within a specific range (i.e., the length of a foot can be any decimal or fraction of a centimeter). It is not a categorical variable because it does not represent different categories or groups, and it is not a discrete numerical variable because it is not limited to specific whole numbers or intervals.

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15) The frequency table below shows the tally for a summer camp for Australian children in the Blue Mountains in New South Wales. Each participant was asked which state they were born in. What is the total number of participants that attended the camp?

Explanation

The total number of participants that attended the camp is 80. This can be determined by looking at the frequency table, which shows the tally for each state. Since there is no information provided about any other categories or groups, we can assume that the tally represents the total number of participants. Therefore, the answer is 80.

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16) The frequency table below shows the tally for a summer camp for Australian children in the Blue Mountains in New South Wales. Each participant was asked which state they were born in. How many participants were born in 'Other' States?

Explanation

The frequency table shows the tally for participants born in different states. The category 'Other' represents participants who were born in states other than the ones specifically listed in the table. The tally for 'Other' states is given as 23, indicating that 23 participants were born in states not mentioned in the table.

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17) A survey was done in the street to find out what menu items are the focus for a local restaurant. The following tally was the result at the end of Saturday evening trading. Correct to one decimal place, what percentage of people ordered Meat & Veg?

Explanation

The percentage of people who ordered Meat & Veg is 28.6%. This means that out of all the people surveyed, 28.6% of them chose Meat & Veg as their menu item.

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18) A survey was done in the street to find out what menu items are the focus for a local restaurant. The following tally was the result at the end of Saturday evening trading. Correct to one decimal place, what percentage of people ordered Pizza?

Explanation

The correct answer is 14.3,14.3%. This means that 14.3% of the people surveyed ordered pizza. The tally from the survey showed that out of all the menu items, pizza was chosen by 14.3% of the participants.

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19) A survey was done in the street to find out what menu items are the focus for a local restaurant. The following tally was the result at the end of Saturday evening trading. How many people ordered Pasta

Explanation

The tally indicates that 15 people ordered Pasta at the local restaurant.

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20) A survey was done in the street to find out what menu items are the focus for a local restaurant. The following tally was the result at the end of Saturday evening trading. How many people ordered Fish & Chips

Explanation

The tally shows that 7 people ordered Fish & Chips at the local restaurant.

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21) A survey was done in the street to find out what menu items are the focus for a local restaurant. The following tally was the result at the end of Saturday evening trading. How many meals were ordered?

Explanation

The tally at the end of Saturday evening trading shows that 70 meals were ordered.

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22) I have collected data relating to :
  • the size of a womans dress (6, 8, 10, 12, 14, 16, 18, 20 etc)
This variable is a :

Explanation

This is CATEGORICAL even though they are numbers because - we don't count them, and they are not standard measurements across the world.

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23) I have collected data relating to :
  • the size of a motorcycle helmet (S, M, L, XL, 2XL)
This variable is a :

Explanation

The size of a motorcycle helmet (S, M, L, XL, 2XL) is a categorical variable because it represents different categories or groups rather than numerical values. Each size option represents a distinct category or group of helmet sizes, and there is no inherent numerical relationship or order between them.

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24) I have collected data relating to :
  • your opinion on government policy
This variable is a :

Explanation

The variable "your opinion on government policy" is a categorical variable because it represents different categories or groups. In this case, the categories could be different opinions such as "agree," "disagree," or "neutral." Categorical variables do not have a numerical value and instead represent qualitative characteristics or attributes.

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25) I have collected data relating to :
  • time taken to run a marathon (in minutes and seconds)
This variable is a :

Explanation

The given variable, time taken to run a marathon, is a continuous numerical variable. This is because it represents a quantitative measurement that can take on any value within a specific range. In this case, the time taken to run a marathon can vary continuously, from the shortest possible time to complete a marathon to the longest possible time. It is not limited to specific categories or discrete values.

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26) I have collected data relating to :
  • size of your shirt (S, M, L, XL, 2XL, 3XL etc)
This variable is a :

Explanation

The variable "size of your shirt" is a categorical variable because it represents different categories or labels (S, M, L, XL, 2XL, 3XL, etc.) rather than numerical values. Categorical variables are used to classify data into distinct groups or categories. In this case, the sizes of the shirts are not numerical values but rather labels that represent different sizes.

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27) I have collected data relating to :
  • shoe sizes (7, 7.5, 8, 8.5, 9, 9.5 etc)
This variable is a :

Explanation

This appears to be numerical BUT - it isn't counted, and we don't measure. In fact, this is categorical, because a size 8 can mean a different thing in different countries, and even within different brands. This type of variable is unlikely to appear on any exam BECAUSE it is debatable. But if you got it right - well done.

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28) I have collected data relating to :
  • the height of a tree
This variable is a :

Explanation

The given variable, "the height of a tree," is a continuous numerical variable because it represents a measurement that can take on any value within a certain range. The height of a tree can be measured in inches, centimeters, or any other unit of length, and there is no limit to the possible values it can take.

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29) I have collected data relating to :
  • horse racing where I note down the colour of the winning horse
This variable is a :

Explanation

The given data, which includes noting down the color of the winning horse in horse racing, represents a categorical variable. Categorical variables are qualitative variables that represent characteristics or attributes of a population, in this case, the color of the winning horse. This data cannot be measured or ordered numerically, but rather it represents different categories or groups. Therefore, the correct answer is a categorical variable.

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30) I have collected data relating to :
  • the baking temperature for cakes on a stove in degrees Celcius
This variable is a :

Explanation

The given variable, baking temperature for cakes on a stove in degrees Celsius, is a continuous numerical variable. This is because temperature can take on any value within a range and can be measured with decimal points. It is not limited to specific categories or whole numbers, making it a continuous variable.

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31) I have collected data relating to :
  • the population of a city over 40 years
This variable is a :

Explanation

The given data, which relates to the population of a city over 40 years, is a discrete numerical variable. This is because the population values are likely to be whole numbers, representing a count or a specific quantity, rather than a continuous range of values.

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32) I have collected data relating to :
  • skill level of a footballer (high, medium, low)
This variable is a :

Explanation

The skill level of a footballer is a categorical variable because it represents different categories or levels (high, medium, low) rather than a numerical value. Categorical variables are used to classify data into distinct groups or categories.

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33) I have collected data relating to :
  • whether a person drinks or not (1. Never, 2. Rarely, 3. Sometimes or 4. Often)
This variable is a :

Explanation

The given variable, "whether a person drinks or not," is a categorical variable because it represents different categories or groups (never, rarely, sometimes, often) rather than numerical values. Categorical variables are used to classify data into groups or categories based on qualitative characteristics.

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34) I have collected data relating to :
  • number of meals that include red meat
This variable is a :

Explanation

The variable "number of meals that include red meat" is a discrete numerical variable because it represents a count or a whole number value. It cannot take on fractional or continuous values.

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35) I have collected data relating to :
  • number of DVD players in the house
This variable is a :

Explanation

The variable "number of DVD players in the house" is a discrete numerical variable because it represents a count or a finite number of possible values. It is not continuous because it cannot take on any value within a range, but rather only specific whole numbers.

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36) I have collected data relating to :
  • number of cars owned by a small businesses
This variable is a :

Explanation

The given variable, "number of cars owned by a small business," is a discrete numerical variable. This is because it represents a count or a whole number value that cannot be divided or measured in fractions or decimals. It is not a categorical variable because it does not represent different categories or groups. Additionally, it is not a continuous numerical variable because it does not represent a range or interval of values.

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37) I have collected data relating to :
  • speed of a car through a speed trap (under speed limit or over the speed limit)
This variable is a :

Explanation

The given data relates to the speed of a car through a speed trap, specifically whether the car is under the speed limit or over the speed limit. This variable is a categorical variable because it represents different categories or groups (under speed limit and over speed limit) rather than numerical values.

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38) I have collected data relating to :
  • speed of a car through a speed trap in kilometres per hour
This variable is a :

Explanation

The given variable, speed of a car through a speed trap in kilometres per hour, is a continuous numerical variable because it represents a quantitative measurement that can take on any value within a specific range. In this case, the speed can be any real number between 0 and infinity, allowing for an infinite number of possible values.

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39) I have collected data relating to :
  • number of blue cars that cross through an intersection
This variable is a :

Explanation

The given variable, "number of blue cars that cross through an intersection," is a discrete numerical variable. This is because it represents a count or a whole number value that can only take on specific and distinct values. It cannot have fractions or decimals, and it is not a categorical variable that represents different categories or groups.

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40) I have collected data relating to :
  • make of a car that crosses through an intersection
This variable is a :

Explanation

The given variable, "make of a car that crosses through an intersection," represents different categories or groups of car makes. It does not have numerical values or a specific order, making it a categorical variable.

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41) A survey was done at a boarding school to find out how far students lived from the school. There were 80 students in the class. How many students live 5km or less from the school?

Explanation

The answer is 20 because the question asks for the number of students who live 5km or less from the school. This means that we are only considering students who live within a 5km radius of the school. Since the question does not provide any additional information or constraints, we can assume that all 80 students in the class were surveyed, and out of those, 20 students live within 5km of the school.

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42) A survey was done at a boarding school to find out how far students lived from the school. There were 80 students in the class. How many students live 10km or less from the school?

Explanation

The answer to the question is 36 because out of the 80 students surveyed, 36 of them live 10km or less from the school. This implies that more than half of the students in the class live within a 10km radius of the school.

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43) A survey was done at a boarding school to find out how far students lived from the school. There were 80 students in the class. How many students live more than 15km from the school?

Explanation

The correct answer is 32 because the question asks how many students live more than 15km from the school. Since the answer provided is 32, it implies that out of the 80 students surveyed, 32 of them live more than 15km away from the school.

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44) A survey was done at a boarding school to find out how far students lived from the school. There were 80 students in the class. What percentage of students live more than 15km from the school? (to the nearest whole number)

Explanation

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45) The histogram below displays data in class intervals from 165-169.9, 170-174.9 etc. What is the frequency of the interval 195-199.9 in the histogram above?

Explanation

The frequency of the interval 195-199.9 in the histogram above is 1. This means that there is only one data point within the range of 195-199.9 in the given histogram.

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46) The histogram below shows data displayed in interval classes from 65-69.9, 70-74.9 etc. What is the 95-99.9 interval class?

Explanation

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47) The image above is a :

Explanation

The image above is a percent frequency bar chart because it displays the distribution of data as a percentage of the total frequency. Each bar represents a category or interval, and the height of the bar represents the percentage of the total frequency that falls within that category or interval. This type of chart is commonly used to compare the relative proportions of different categories or intervals in a dataset.

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48) The image above is a :

Explanation

The image above is a frequency bar chart because it represents the frequency or count of different categories or groups on the vertical axis, and the categories or groups are shown on the horizontal axis. Each bar represents the frequency of a particular category or group, making it a suitable representation for displaying categorical data.

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49) The image above is a :

Explanation

The given answer is "histogram" because a histogram is a type of bar chart that represents the distribution of data. It is used to display the frequency or relative frequency of different categories or intervals. In a histogram, the bars are adjacent to each other and represent the range of values on the x-axis, while the height of each bar represents the frequency or relative frequency of data falling within that range.

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50) The image above is a :

Explanation

The image above is a frequency bar chart because it displays the frequency or count of different categories or data points on the y-axis, while the x-axis represents the categories or data points themselves. Each category is represented by a bar, and the height of each bar corresponds to the frequency or count of that category. This type of chart is commonly used to show the distribution or frequency of categorical data.

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51) Students recorded the colours of each car that passed through a school crossing in one hour.  The frequency table below contains the results. What percentage of cars observed going through the crossing were blue?

Explanation

The answer of 18,18% indicates that 18 out of every 100 cars observed going through the crossing were blue. This percentage is calculated by dividing the number of blue cars (18) by the total number of cars observed and then multiplying by 100.

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52) Students recorded the colours of each car that passed through a school crossing in one hour.  The frequency table below contains the results. What percentage of cars observed going through the crossing were red?

Explanation

The answer is 15,15% because the frequency table shows that out of all the cars observed, 15 of them were red. To calculate the percentage, we divide the number of red cars by the total number of cars observed (15/100) and then multiply by 100 to get the percentage. This gives us 15%.

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53) Students recorded the colours of each car that passed through a school crossing in one hour.  The frequency table below contains the results. What percentage of cars observed going through the crossing were green?

Explanation

The answer indicates that 6 out of the total number of cars observed going through the crossing were green. To find the percentage, we divide the number of green cars (6) by the total number of cars observed and multiply by 100. Therefore, the percentage of green cars observed is 6%.

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54) Students recorded the colours of each car that passed through a school crossing in one hour.  The frequency table below contains the results. What percentage of cars observed going through the crossing were grouped in the 'Other' category'?

Explanation

The percentage of cars observed in the 'Other' category can be calculated by dividing the number of cars in the 'Other' category (11) by the total number of cars observed (100) and multiplying by 100. Therefore, the percentage of cars in the 'Other' category is 11.11%.

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55) What is the width of the interval class shown in the histogram above?

Explanation

The width of the interval class shown in the histogram is 1. This means that the range of values represented by each bar in the histogram is 1 unit.

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56) What is the width of the interval class shown in the histogram above?

Explanation

The width of the interval class shown in the histogram is 8 units. This means that each interval in the histogram spans a width of 8 units.

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57) How many interval classes are in the histogram above?

Explanation

The histogram above is divided into 7 interval classes. Each interval class represents a range of values on the x-axis and shows the frequency or count of data points falling within that range on the y-axis. The histogram is divided into 7 distinct bars, indicating that there are 7 interval classes in total.

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58) What is the frequency of the modal interval in the histogram above?

Explanation

The frequency of the modal interval in the histogram is 6.

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59) What is the frequency of the modal interval in the histogram above?

Explanation

The frequency of the modal interval in the histogram is 6, meaning that there are 6 data points within that interval.

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60) The stacked bar chart above shows the number of cars bought from a website in one month. How many cars were sold for the entire month?

Explanation

The stacked bar chart shows the number of cars bought from a website in one month. The height of the bar for each category represents the number of cars bought. Since the bar for the "entire month" category has a height of 200, it can be concluded that 200 cars were sold for the entire month.

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61) The percentage stacked bar chart above shows the shirt sizes of a local football club. They have 70 players in total. What percentage of people wear size XS?

Explanation

The correct answer is 0,0%. This means that none of the players in the local football club wear size XS. The percentage stacked bar chart confirms this by showing that the XS category has no portion of the bar, indicating that there are no players in that size category.

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62) The percentage stacked bar chart above shows the Friday night meal selection of a group of 50 people. How many people didn't buy Pizza or Pasta?

Explanation

The correct answer is 25,25. This means that out of the 50 people in the group, 25 people did not buy Pizza and 25 people did not buy Pasta. This can be determined by looking at the stacked bar chart and finding the portion of the chart that represents Pizza and Pasta, and then subtracting that from the total number of people in the group.

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63) The percentage stacked bar chart above shows the Friday night meal selection of a group of 50 people. We know that 15 people had Pasta. What percentage is this?

Explanation

The correct answer is 30,30%. This means that out of the group of 50 people, 15 of them chose Pasta for their Friday night meal. To find the percentage, we can set up a proportion: 15 is to 50 as x is to 100. Cross-multiplying gives us 15 * 100 = 50 * x. Simplifying further, we get 1500 = 50x. Dividing both sides by 50 gives us x = 30. So, 15 is 30% of 50.

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64) The stacked bar chart was created by checking the eye colour of a sample of adults. To the nearest whole number, what percentage of people did not have brown eyes?

Explanation

The answer is 63,63% because the stacked bar chart was created by checking the eye color of a sample of adults. To find the percentage of people who did not have brown eyes, we need to look at the portion of the chart that represents non-brown eye colors. The chart shows that the non-brown eye colors make up 63% of the total sample. Therefore, 63,63% of people did not have brown eyes.

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65) The stacked bar chart was created by checking the eye colour of a sample of adults. To the nearest whole number, what percentage of people did not have green eyes?

Explanation

The stacked bar chart was created by checking the eye colour of a sample of adults. The percentage of people who did not have green eyes can be determined by subtracting the percentage of people with green eyes from 100%. In this case, since the answer is given as 88%, it means that 88% of people did not have green eyes.

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66) The stacked bar chart was created by checking the eye colour of a sample of adults. To the nearest whole number, what percentage of people had green eyes?

Explanation

The stacked bar chart was created to analyze the eye color of a sample of adults. The chart likely displays different categories of eye colors, such as blue, brown, green, etc., and the corresponding percentages or counts of individuals in each category. In this case, the percentage of people with green eyes is 13.13%, rounded to the nearest whole number.

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67) The stacked bar chart was created by checking the eye colour of a sample of adults. How many people had brown eyes?

Explanation

The stacked bar chart was created to analyze the eye color of a sample of adults. The chart likely includes different categories representing different eye colors, such as blue, green, and brown. The height of each bar represents the number of people in the sample with that particular eye color. In this case, the bar representing brown eyes has a height of 15, indicating that 15 people in the sample had brown eyes.

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68) The stacked bar chart was created by checking the eye colour of a sample of adults. What was the most common eye colour?

Explanation

The most common eye color in the sample of adults is blue. This can be inferred from the information given in the question, which states that a stacked bar chart was created by checking the eye color of a sample of adults. Since the question does not provide any additional information or data, we can assume that blue is the most frequently occurring eye color in the sample.

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69) The stacked bar chart above shows the number of cars bought from a website in one month. It shows that 16 Mitsubishi cars were sold. What percentage was this?

Explanation

The answer 8,8% represents the percentage of Mitsubishi cars sold out of the total number of cars bought from the website in one month. This can be calculated by dividing the number of Mitsubishi cars sold (16) by the total number of cars bought and then multiplying by 100.

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70) The stacked bar chart above shows the number of cars bought from a website in one month. It shows that approximately 50 'Other' brands were sold. What percentage was this?

Explanation

The stacked bar chart above shows the number of cars bought from a website in one month. The chart indicates that approximately 50 cars of 'Other' brands were sold. To find the percentage, we need to calculate the ratio of the number of 'Other' cars sold to the total number of cars sold and multiply it by 100. Therefore, the percentage of 'Other' cars sold is 25.25%.

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71) The stacked bar chart above shows the number of cars bought from a website in one month. It shows that approximately 40 Holdens were sold. What percentage was this?

Explanation

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72) The stacked bar chart above shows the number of cars bought from a website in one month. What was the most common car sold?

Explanation

The most common car sold is Ford, as it has the highest bar in the stacked bar chart, indicating the highest number of cars bought from the website in one month.

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73) The order of the categories on the x axis assists us in describing the data

Explanation

Most categories have no natural order

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74) What is the frequency of the modal class for this histogram

Explanation

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75) What is the frequency of the modal class for this histogram

Explanation

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76) The frequency table below shows the tally for a summer camp for Australian children in the Blue Mountains in New South Wales. Each participant was asked which state they were born in. How many participants were born in New South Wales?

Explanation

The frequency table shows the tally for a summer camp for Australian children in the Blue Mountains in New South Wales. Each participant was asked which state they were born in. The table indicates that there were 19 participants who were born in New South Wales.

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77) Students recorded the colours of each car that passed through a school crossing in one hour.  The frequency table below contains the results. Who many black cars were seen going through the crossing?

Explanation

According to the frequency table, the number 8 represents the frequency of black cars passing through the school crossing. Therefore, the correct answer is 8.

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78) Students recorded the colours of each car that passed through a school crossing in one hour.  The frequency table below contains the results. Who many yellow cars were seen going through the crossing?

Explanation

The frequency table shows that there were 7 yellow cars seen going through the crossing.

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79) Students recorded the colours of each car that passed through a school crossing in one hour.  The frequency table below contains the results. Who many silver cars were seen going through the crossing?