Organisation Of Data In Statistics! Hardest Trivia Quiz

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.

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.

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.

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.

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.

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

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

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

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

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.

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.

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.

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.

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.

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.

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

The frequency table shows that there were 2 silver cars seen going through the crossing.

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.

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%.

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%.

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%.

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.

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.

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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The answer is 20,20% because it indicates that 20 students out of the total 80 students live more than five and up to 10km from the school. To find the percentage, we can divide the number of students living in that range by the total number of students and multiply by 100. In this case, (20/80) * 100 = 25%. However, since we are asked to round to the nearest whole number, the answer is 20%.

The correct answer is 31,31%. This means that approximately 31.31% of the students in the boarding school live more than 20km away from the school.

The answer is 9,9% because out of the 80 students surveyed, a certain number of students live more than 15km and up to 20km from the school. To find the percentage, we divide the number of students in that range by the total number of students surveyed (80) and multiply by 100. In this case, the number of students in that range is 9, so (9/80) * 100 equals 11.25%. Rounding to the nearest whole number gives us 9%.

The correct answer is 60, 60%. This means that 60 out of the 80 students live 15km or less from the school. To find the percentage, we divide the number of students who live 15km or less (60) by the total number of students (80) and multiply by 100. This gives us 75%, but since we need to round to the nearest whole number, the answer is 60%.

The correct answer is Histogram. A histogram is a graphical representation of data that is displayed as bars. It is commonly used to represent the distribution of a dataset, where the height of each bar corresponds to the frequency or relative frequency of a particular range of values. In this graph, the bars are displayed vertically, representing different categories or ranges of data, making it a histogram.

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

The correct answer is 8 because the dot plot shown above has a maximum value of 18 and a minimum value of 10. To find the range, we subtract the minimum value from the maximum value: 18 - 10 = 8. Therefore, the range of the dot plot is 8.

The graph above is a bar chart because it displays categorical data using rectangular bars. Each bar represents a different category, and the length of the bar corresponds to the value or frequency of that category. The bars are separated from each other, indicating distinct categories. This type of graph is commonly used to compare different categories or show trends over time.

The graph above is a bar chart because it displays data using rectangular bars of equal width. Each bar represents a category, and the height of the bar corresponds to the value or frequency of that category. The bars are separated from each other, and there are no segments within each bar. Therefore, it can be concluded that the graph is a bar chart.

The correct answer is Bar Chart because a bar chart is a graphical representation of data using rectangular bars of different lengths or heights. In this type of chart, the length or height of each bar represents the frequency or value of the data being displayed. The graph above consists of rectangular bars that are not segmented or separated, indicating that it is a bar chart.

The correct answer is 10. This can be determined by looking at the percentage stacked bar chart, where the "Pizza" category is represented by a bar that is 10% of the total chart. Since the total number of people in the group is 50, 10% of 50 is equal to 5. Therefore, 10 people chose to have Pizza on Friday night.

The percentage stacked bar chart above shows the distribution of shirt sizes among the players in a local football club. The chart indicates that 50% of the players wear a shirt size XL or smaller. Since there are 300 players in total, 50% of 300 is equal to 150. Therefore, the correct answer is 150 players wear a shirt size XL or smaller.

The image above is a stem & leaf plot. A stem & leaf plot is a way to organize and display data by splitting each data point into a "stem" (the leading digit or digits) and a "leaf" (the trailing digit). It is a simple and effective method to show the distribution of data and allows for easy identification of the smallest and largest values.

The stem and leaf plot in the image has five splits. A split occurs each time there is a new stem value. In this plot, there are five different stem values (0, 1, 2, 3, and 4), which means there are five splits. Each split separates the stems and their corresponding leaf values, allowing for a clear representation of the data.

The graph above is a histogram because it displays data using vertical bars of different heights to represent the frequency or count of each category or range of values. Histograms are commonly used to show the distribution of numerical data and provide a visual representation of the frequency or probability of different values occurring within a dataset.

The given correct answer for this question is "Histogram". A histogram is a graphical representation of data that uses rectangular bars to represent the frequency of data within specific intervals or bins. It is commonly used to display the distribution of numerical data. In a histogram, the height of each bar corresponds to the frequency or count of data within that interval. This type of graph is useful for visualizing the shape and spread of data, as well as identifying any outliers or patterns.

The dot plot shown above does not exhibit any clear shape or pattern in its distribution. It does not appear to be positively skewed, negatively skewed, or symmetrically skewed. Additionally, there is no mode evident in the plot. Therefore, the correct answer is that the dot plot shows no real shape in its distribution.

The dot plot shown above has a modal class of 11 because it has the highest frequency or count of dots. This means that there are more data points or values in the dataset that fall within the class interval of 11.

The correct answer is 9. This is because the range of a data set is the difference between the highest and lowest values. Looking at the dot plot, we can see that the highest value is 19 and the lowest value is 10. Therefore, the range is 19 - 10 = 9.

The shape of the histogram is described as positive skew because the tail of the distribution extends towards the higher values. This means that there are more values on the left side of the histogram (lower values) and fewer values on the right side (higher values), resulting in a longer tail on the right side.

The histogram above is negatively skewed, meaning that the majority of the data is concentrated on the right side of the graph, with a long tail extending towards the left. The presence of outliers suggests that there are a few data points that deviate significantly from the rest of the data, further enhancing the negative skewness of the distribution.

The width of the interval class shown in the histogram is 2. This means that each interval in the histogram spans a width of 2 units.

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A split stem & leaf plot is a type of data visualization that organizes numerical data. It is similar to a regular stem & leaf plot, but with an additional split in the middle. This split separates the data into two groups, allowing for easier comparison between the two sets of values. In the given image, there is a clear split in the middle, indicating that it is a split stem & leaf plot.

The image above is a split stem & leaf plot. This type of plot is used to display numerical data in a visual format. It consists of a vertical line that represents the stems (the tens place of the data) and digits on either side of the line that represent the leaves (the ones place of the data). The split stem & leaf plot is called so because it splits the leaves into two parts, with one part on each side of the stem. This allows for a more compact representation of the data and makes it easier to compare values.

The image above is a back-to-back stem & leaf plot. This type of plot is used to compare two sets of data side by side. It consists of two sets of stems, with the leaves representing the data values. The plot allows for easy comparison of the distribution and range of the two data sets.

When there are too many leaves to see a shape, it becomes necessary to split a stem and leaf plot. This is because a stem and leaf plot is used to display the distribution of data, and when there are too many leaves, the plot becomes overcrowded and it becomes difficult to identify any patterns or shape in the data. By splitting the plot, the data can be organized in a clearer manner, allowing for better analysis and interpretation.

Back-to-back stem & leaf plots have a common stem. This means that the stems in both plots are the same, while the leaves represent different values. This type of plot is useful for comparing two sets of data, as it allows for easy visual comparison of the values. By having a common stem, it becomes clear which values are higher or lower in each set.

The skill level of a basketballer, measured by counting how many free three pointers they score out of 10, is a discrete numerical variable. This is because the variable takes on a countable number of distinct values, ranging from 0 to 10. It is numerical because the values represent a quantity or measurement, and it is discrete because it cannot take on any value between the whole numbers.

The given data relates to the color of cars that pass through a school crossing. The color of a car is a categorical variable as it represents different categories or groups (e.g., red, blue, green). It does not have numerical values or a specific order associated with it, making it a categorical variable.

The graph above is a histogram because it displays the distribution of a single variable. It consists of vertical bars, where the height of each bar represents the frequency or count of data within a specific range or interval. The bars are separated from each other to show the distinct categories or intervals being represented.

The graph above is a histogram because it represents the distribution of a single variable. In a histogram, the data is divided into intervals or bins, and the height of each bar represents the frequency or count of data points within that interval. This type of graph is commonly used to visualize the distribution of continuous or discrete data and to identify patterns or trends in the data.

The image above is a percent frequency bar chart because it represents the distribution of data in terms of percentages. Each bar represents a category or range of data, and the height of the bar corresponds to the percentage of data in that category. This type of chart is commonly used to compare the relative frequencies or proportions of different categories within a dataset.

While most categorical data has no natural order, there is logic in placing this data in order

A split stem & leaf plot is a type of graphical representation used to display numerical data. It is similar to a regular stem & leaf plot, but it separates the stems into two parts, creating a split in the middle. This allows for a clearer representation of the data, especially when there is a wide range of values. In the given image, the stems are split, indicating that it is a split stem & leaf plot.

A split stem and leaf plot is a graphical representation of numerical data that separates the stems into two parts, with one part representing the smaller values and the other part representing the larger values. In this type of plot, the stems are split vertically, and the leaves are displayed on either side of the stem. This allows for a clearer representation of the distribution of the data.

Back-to-back stem & leaf plots allow you to compare the distribution of two data sets. This is because the plots display both sets of data side by side, making it easier to visually compare their distributions. By examining the shape, center, and spread of the plots, you can determine how the two data sets differ in terms of their distribution characteristics. This is useful for identifying any similarities or differences between the data sets and gaining insights into their respective distributions.

The given variable, baking temperature for cakes on a stove, is a categorical variable because it consists of distinct categories or levels (High, Medium, Low) rather than numerical values. Categorical variables represent qualitative characteristics or attributes that cannot be measured on a numerical scale.

The weight of fish caught in a lake is a categorical variable because it represents different categories or groups (oversize or undersize) rather than numerical values. Categorical variables are used to classify data into distinct groups or categories based on qualitative characteristics. In this case, the weight of the fish is being categorized as either oversize or undersize, making it a categorical variable.

The question asks for the number of students who live more than 15 and up to 20km from the school. The answer provided is 7, indicating that there are 7 students who fall within this distance range.

The given answer is correct because a histogram is a graphical representation of data that uses bars to represent the frequency or count of data values within certain intervals or bins. In a histogram, the bars are typically adjacent to each other and there are no gaps between them. The graph above shows bars that represent the frequency of data values, indicating that it is indeed a histogram.

The given correct answer is Histogram. A histogram is a graphical representation of data that uses bars to represent the frequency or count of different categories or ranges of a variable. In a histogram, the bars are typically adjacent to each other and the width of the bars represents the range of values. The height of each bar represents the frequency or count of data points falling within that range.

The dot plot shown above is positively skewed because the majority of the data points are concentrated towards the lower end of the distribution, with a few outliers on the higher end. This indicates that the data is skewed to the right, with a longer tail on the positive side.

The image above is a frequency bar chart because it displays the frequency or count of different categories or values on the y-axis, while the x-axis represents the categories or values themselves. Each bar represents a category or value, and its height indicates the frequency or count. This type of chart is commonly used to show the distribution or occurrence of data in different categories.

The frequency table shows the tally for participants born in different states. To find the percentage of participants born in Western Australia, we need to divide the tally for Western Australia by the total number of participants and then multiply by 100. Since the answer is given as 9%, it means that 9% of the participants were born in Western Australia. The number 9 is also provided as an alternative representation of the percentage.

The answer is 25 because the question asks for the number of students who live more than 20km from 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 their distances from the school were recorded. Therefore, the number of students who live more than 20km from the school is 25.

Dot plots are used for small numerical data sets. A dot plot is a simple graphical representation where each data point is plotted as a dot along a number line. It allows for easy visualization of the distribution, shape, and outliers in the data. Dot plots are particularly useful for small numerical data sets because they provide a clear and concise representation of the data without the need for complex calculations or assumptions.

The dot plot shown above does not exhibit any clear pattern or shape in its distribution. The dots are scattered randomly without any noticeable trend or clustering. This lack of structure suggests that there is no specific shape to the distribution of the data.

The histogram above is most accurately described as having a negative skew. A negative skew indicates that the tail of the distribution is longer on the left side and the majority of the data is concentrated on the right side. This means that there are more values below the average than above it.

The modal interval in a histogram is the interval with the highest frequency or the tallest bar. In this histogram, the interval 170-174.9 has the highest frequency, making it the modal interval.

The size of the distribution is determined by the number of data points in the dataset. In this case, the given data shows that there are 19 data points. Therefore, the size of the distribution is 19.

By simply looking at a dot plot, it is easy to find the modal class. The modal class is the class or interval with the highest frequency or count in a dataset. In a dot plot, the class with the most dots represents the modal class.

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The variable of noting down the number of the winning horse in horse racing is a categorical variable because it represents different categories or groups (the numbers of the winning horses) rather than numerical values that can be measured or compared.

The frequency table shows the tally for a summer camp in the Blue Mountains in New South Wales. The question asks for the percentage of participants born in Victoria. According to the table, the tally for Victoria is 23. To find the percentage, divide the tally for Victoria (23) by the total number of participants and multiply by 100. The total number of participants is not given in the question, so it is not possible to calculate the percentage.

The frequency table shows that there were 15 white cars recorded passing through the school crossing in one hour.

The histogram above most accurately describes a positive skew. A positive skew means that the tail of the distribution extends towards the right, indicating that there are more values on the left side of the distribution. This suggests that the data is positively skewed, with a few extreme values pulling the mean towards the right.

The correct answer is 50,50%. This means that 50 players, or 50% of the total number of players, wear a shirt bigger than size XL. The percentage stacked bar chart visually represents the distribution of shirt sizes among the players, and based on the chart, it can be determined that half of the players wear a shirt bigger than size XL.

The dot plot shown above could be described as normally distributed because the dots are evenly spread out around the center, forming a bell-shaped curve.

The histogram shows a distribution that is skewed to the right, with a longer tail on the right side. This indicates that there are more data points with lower values and a few outliers with higher values. Therefore, the most accurate choice to describe the shape of the histogram is "Positive Skew with Outliers."

Histograms are used to display numerical data. A histogram is a graphical representation that organizes data into bins or intervals and shows the frequency or count of observations falling into each bin. It is commonly used to visualize the distribution of numerical data, such as the frequency of different values or the shape of the data's distribution. Histograms are not typically used to display categorical data, as bar charts are more suitable for that purpose. Therefore, the correct answer is "Numerical data".