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Do you know, mean, median, mode and range? Do you know when it is best to use the various types of data displays. Take the quiz!
Questions and Answers
1.
When you find the average of a data set, you are finding the ________.
Explanation When you find the average of a data set, you are finding the mean. The mean is calculated by adding up all the values in the data set and then dividing the sum by the number of values. It is a measure of central tendency that represents the typical value or average value of the data set.
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2.
When you order a data set and find the middle number, you are finding the ______________.
A.
Mean
B.
Median
C.
Mode
D.
Range
Correct Answer B. Median
Explanation When you order a data set and find the middle number, you are finding the median. The median is the middle value in a set of numbers when they are arranged in order. It is a measure of central tendency that is used to represent the typical or average value in a dataset. Unlike the mean, which is affected by extreme values, the median is not influenced by outliers and provides a more robust representation of the data.
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3.
What is the mode of this data set:
42, 53, 37, 49, 39, 42, 30
A.
There is no mode
B.
37
C.
49
D.
42
Correct Answer D. 42
Explanation The mode of a data set is the value that appears most frequently. In this data set, the number 42 appears twice, which is more than any other number. Therefore, the mode of this data set is 42.
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4.
The image is an example of a misleading graph.
A.
True
B.
False
Correct Answer A. True
Explanation The image is an example of a misleading graph because it is designed in a way that distorts or misrepresents the data it is presenting. This can be done through manipulating the scale, omitting certain data points, or using misleading labels or visuals to create a false impression. Misleading graphs can be intentionally or unintentionally created, but they can lead to misinterpretation and misunderstanding of the data being presented.
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5.
State the range of the data set:
34, 29, 30, 29, 48, 25, 30, 40
Correct Answer 23
6.
The piece of data that occurs most often is called the ______________________
A.
Mean
B.
Median
C.
Mode
D.
Range
Correct Answer C. Mode
Explanation The piece of data that occurs most often is called the mode. The mode represents the most frequently occurring value in a dataset. It is useful in determining the central tendency or the typical value in a set of data. Unlike the mean, which is the average of all values, or the median, which is the middle value, the mode focuses on the value that appears most frequently.
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7.
Which day were the most books sold?
A.
Monday
B.
Tuesday
C.
Wednesday
D.
Thursday
E.
Friday
F.
Saturday
Correct Answer C. Wednesday
Explanation The question asks which day had the most books sold. Since the answer is "Wednesday," it can be inferred that Wednesday had the highest number of book sales compared to the other days mentioned (Monday, Tuesday, Thursday, Friday, and Saturday).
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8.
Which sport is participated in the most?
Correct Answer Soccer
Explanation Soccer is the most participated sport because of its global popularity and widespread availability. It is played in almost every country and has a large number of professional leagues and amateur teams worldwide. The sport's simplicity and minimal equipment requirements make it accessible to people of all ages and backgrounds. Additionally, soccer's inclusion in major international tournaments like the FIFA World Cup further contributes to its high participation rates.
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9.
Which data display would be represented by the frequency table?
A.
Bar graph
B.
Histograph
C.
Dot plot
D.
Pie chart
Correct Answer B. Histograph
Explanation A histogram is a type of data display that represents the frequency of data within certain intervals or bins. It consists of bars where the height of each bar corresponds to the frequency of data falling within that interval. This is different from a bar graph, which represents categorical data, a dot plot, which shows individual data points, and a pie chart, which represents proportions or percentages. Therefore, a histogram is the correct answer for representing data in a frequency table.
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10.
Name the outlier in this data set:
38, 29, 49, 38, 20, 2, 39. 33, 37
Correct Answer 2
Explanation The outlier in this data set is 2. An outlier is a value that significantly differs from the other values in the data set. In this case, all the other numbers range from 20 to 49, while 2 is significantly smaller than the rest.
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11.
You take a survey of your class to find their favorite pet. The best way to represent your data would be as a histogram.
A.
True
B.
False
Correct Answer B. False
Explanation A histogram is used to represent continuous data, such as age or height, by dividing it into intervals and showing the frequency of data points within each interval. However, when finding the favorite pet of your class, the data would likely be categorical, as each student would have a different favorite pet. Therefore, the best way to represent this data would be through a bar graph, where each category (pet) is represented by a separate bar.
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12.
You survey your class to determine how many minutes they studied for an upcoming science test. The best way to represent this data would be as a bar graph.
A.
True
B.
False
Correct Answer B. False
Explanation The best way to represent the data of how many minutes students studied for an upcoming science test would not be as a bar graph. A bar graph is typically used to represent categorical data, where each category is represented by a separate bar. In this case, the data represents a quantitative variable (minutes studied), which would be better represented using a histogram or a line graph.
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13.
You survey half of the middle school to determine what each student's favorite genre of movie is. The best way to display this data would be by which of the following graphs?
A.
Bar graph
B.
Histogram
C.
Pie chart
D.
Line plot
Correct Answer A. Bar graph
Explanation A bar graph would be the best way to display the data because it allows for easy comparison of the favorite genres of movies among the students. The different genres can be represented by different bars, and the height of each bar can represent the number or percentage of students who prefer that genre. This visual representation makes it easy to see which genres are the most popular among the middle school students.
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14.
You perform a science experiment to determine plant growth of different watering with different ph's of water over the period of 2 weeks. Which is the best graph to represent this data?
A.
Bar graph
B.
Line graph
C.
Histogram
D.
Line plot
Correct Answer B. Line graph
Explanation A line graph is the best way to represent the data in this experiment because it allows for the comparison of plant growth over time with different watering and pH levels. The x-axis can represent the time period of 2 weeks, while the y-axis can represent the plant growth measurements. Each line on the graph can represent a different watering and pH level, showing how they affect the plant growth over time. This type of graph is ideal for showing trends and patterns in the data.