Statistics for 8th Grade: Master Data Analysis and Probability

Question 1

Which measure of central tendency is most impacted by extreme values, also known as outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 2

What is the measure of central tendency that is calculated by adding all the values in a data set and dividing by the number of values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 3

In a data set, the mode is the value that:

Accepted Answer

Appears most frequently

Answer

Is the average of all the values

Answer

Is the middle value when the data is arranged in ascending order

Answer

Is the difference between the highest and lowest values

Question 4

Which of the following is a measure of how spread out the data is?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 5

In a data set, the mean is 10 and the median is 8. Which of the following is a possible explanation for this difference?

Accepted Answer

The data set has a few extremely high values.

Answer

The data set has a few extremely low values.

Answer

The data set has an equal number of high and low values.

Answer

The data set is normally distributed.

Question 6

When creating a bar graph, which axis represents the independent variable?

Accepted Answer

x-axis

Answer

y-axis

Answer

Both axes

Answer

Neither axis

Question 7

Which of the following is a limitation of using statistics?

Accepted Answer

Statistics can be misleading if the data is not collected properly.

Answer

Statistics can be used to make predictions about the future.

Answer

Statistics can help us make informed decisions.

Answer

Statistics can be used to prove a hypothesis.

Question 8

Which of the following measures describes the center of a distribution?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 9

Which of the following is NOT a measure of how spread out a data set is?

Accepted Answer

Median

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 10

A box plot shows the:

Accepted Answer

Median, quartiles, and outliers

Answer

Mean, median, and mode

Answer

Range, standard deviation, and variance

Answer

Minimum, maximum, and mean

Question 11

A data set with a large standard deviation is considered to be:

Accepted Answer

More variable

Answer

Less variable

Answer

Symmetrical

Answer

Skewed

Question 12

Which of the following methods would you use to collect information about student preferences?

Accepted Answer

Survey

Answer

Experiment

Answer

Observation

Answer

Interview

Question 13

Which of the following is NOT a measure of central tendency?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 14

Which measure of central tendency represents the middle value of a dataset, when arranged in order?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 15

Which of the following is NOT a measure of variability?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 16

The range of a data set is the difference between the:

Accepted Answer

Highest and lowest values

Answer

Mean and median

Answer

Median and mode

Answer

Mean and range

Question 17

In a scatterplot, a positive correlation indicates that as the value of one variable increases, the:

Accepted Answer

Value of the other variable also increases

Answer

Value of the other variable decreases

Answer

Value of the other variable stays the same

Answer

Correlation cannot be determined

Question 18

Which of the following is an example of a categorical variable?

Accepted Answer

Gender

Answer

Height

Answer

Age

Answer

Income

Question 19

Which of the following is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 20

Which measure of central tendency is most affected by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 21

The range of a dataset is the difference between its:

Accepted Answer

Maximum and minimum values

Answer

Mean and median values

Answer

First and third quartiles

Answer

Standard deviation and mean values

Question 22

Which of the following does NOT affect the standard deviation of a dataset?

Accepted Answer

Mean of the data

Answer

Spread of data

Answer

Presence of outliers

Question 23

A dataset has a mean of 50 and a standard deviation of 10. What percentage of the data lies within one standard deviation of the mean?

Accepted Answer

68%

Answer

50%

Answer

95%

Answer

100%

Question 24

Which graphical representation is most useful for displaying the distribution of data?

Accepted Answer

Histogram

Answer

Bar graph

Answer

Pie chart

Answer

Scatter plot

Question 25

Which measure of central tendency is highly influenced by extreme values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 26

Which step is not part of the statistical process?

Accepted Answer

Speculating conclusions

Answer

Collecting data

Answer

Organizing data

Answer

Analyzing data

Question 27

Which statistical measure indicates the spread or dispersion of data?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Question 28

Which graphical representation visually displays the distribution of data?

Accepted Answer

Histogram

Answer

Mean

Answer

Standard deviation

Question 29

What is the primary purpose of a frequency table?

Accepted Answer

Data organization

Answer

Calculating the mean

Answer

Forecasting future events

Question 30

To find the mean of a dataset, which calculation do you perform?

Accepted Answer

Add all the values and divide by the number of values

Answer

Find the middle value

Answer

Find the value that appears most often

Question 31

Find the mean of this data set: 10, 12, 14, 16, 18.

Accepted Answer

14

Answer

10

Answer

12

Answer

16

Question 32

Which of these is a measure of how spread out the data is, rather than a measure of the middle of the data?

Accepted Answer

Range

Answer

Mean

Answer

Mode

Answer

Median

Question 33

Which of the following is NOT a measure of central tendency?

Accepted Answer

D. Hypothesis

Answer

A. Mean

Answer

B. Median

Answer

C. Mode

Question 34

Which measure of central tendency is least affected by outliers?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Standard deviation

Question 35

Which of the following measures the amount of variation or spread in a data set?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 36

A data set has a range of 10. What does this indicate?

Accepted Answer

The difference between the smallest and largest value in the data set is 10.

Answer

The average value of the data set is 10.

Answer

The most common value in the data set appears 10 times.

Answer

The standard deviation of the data set is 10.

Question 37

What measure of central tendency represents the value that occurs most frequently in a dataset?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Range

Question 38

What is the mathematical formula for calculating the range of a dataset?

Accepted Answer

(Largest value - Smallest value)

Answer

(Largest value - Smallest value) / 2

Answer

Mean - Median

Answer

Standard deviation / Mean

Question 39

Which of the following is NOT a measure of variability used to describe the spread of data?

Accepted Answer

Median

Answer

Variance

Answer

Standard deviation

Answer

Mean absolute deviation

Question 40

Which type of graph is most suitable for visualizing the distribution of data in a dataset?

Accepted Answer

Histogram

Answer

Bar chart

Answer

Line graph

Answer

Scatter plot

Question 41

What is the distinction between a population and a sample in statistics?

Accepted Answer

A population represents the entire group of interest, while a sample is a subset of that population.

Answer

A sample represents the entire group of interest, while a population is a subset of that sample.

Answer

A population is a subset of the sample, while a sample is the entire group of interest.

Answer

There is no difference between a population and a sample.

Question 42

Which of these is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 43

A data set contains the values: 5, 7, 9, 11, 13, 15. What is the mean of this data set?

Accepted Answer

10

Answer

8

Answer

12

Answer

14

Question 44

A histogram shows the distribution of data by:

Accepted Answer

Frequency

Answer

Range

Answer

Mean

Answer

Median

Question 45

In a box plot, the median is represented by the:

Accepted Answer

Line in the middle of the box

Answer

Left whisker

Answer

Right whisker

Answer

Top of the box

Question 46

The following data set shows the number of hours students spent studying for a test: {2, 3, 1, 2, 4, 3, 2}. What is the mode of this data set?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 47

A survey asked students about their favorite type of music. The results are displayed in this pie chart. If 50 students were surveyed, how many chose Pop as their favorite?

Accepted Answer

25

Answer

15

Answer

20

Answer

10

Question 48

What is the range of the following data set: {5, 12, 8, 10, 6, 14, 7}?

Accepted Answer

9

Answer

7

Answer

14

Answer

19

Question 49

The mean score on a math quiz was 80%. Which of the following statements is true?

Accepted Answer

The sum of all scores divided by the number of students is 80%.

Answer

No student scored below 70%.

Answer

Half of the students scored above 80%.

Question 50

Which of the following is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Median

Answer

Mode

Answer

Mean

Question 51

A data set has a mean of 15 and a standard deviation of 3. Which value is within one standard deviation of the mean?

Accepted Answer

12

Answer

20

Answer

19

Answer

10

Question 52

Which of the following data sets would be best represented by a line graph?

Accepted Answer

The average temperature in a city over a year

Answer

Eye color of students in a classroom

Answer

Favorite ice cream flavors of sixth graders

Answer

Number of students in each after-school club

Question 53

The median of a data set is the:

Accepted Answer

Middle value when the data is arranged in order.

Answer

Sum of all values divided by the number of values.

Answer

Most frequent value in the data set.

Answer

Difference between the highest and lowest values.

Question 54

If a data set is skewed to the right, what is true about the mean and median?

Accepted Answer

The mean is greater than the median.

Answer

The relationship between mean and median cannot be determined.

Answer

The mean is less than the median.

Answer

The mean and median are equal.

Question 55

What is the first step in analyzing a set of data?

Accepted Answer

Collecting the data

Answer

Creating a graph

Answer

Drawing conclusions

Answer

Calculating the mean