Master Statistics: Mean, Median, Mode, and Range for 7th Grade Math

Question 1

Calculate the median of this data set: {5, 7, 9, 11, 13}

Accepted Answer

9

Answer

7

Answer

11

Question 2

Identify the data set with the highest range:

Accepted Answer

{0, 5, 10, 15, 20}

Answer

{2, 4, 6, 8, 10}

Answer

{1, 3, 5, 7, 9}

Question 3

A set of numbers has a mean of 15. After adding a single number, the mean becomes 16. What is the value of the number added?

Accepted Answer

17

Answer

15

Answer

16

Question 4

Which of the following is not considered a measure of central tendency?

Accepted Answer

Skewness

Answer

Mean

Answer

Median

Question 5

Calculate the range of the following data set: {-5, -3, 0, 2, 4, 6, 8}

Accepted Answer

13

Answer

11

Answer

9

Question 6

Given a data set with a mean of 10 and a median of 12, which of the following is the most plausible description of the data distribution?

Accepted Answer

The data is skewed to the right.

Answer

The data is skewed to the left.

Answer

The data is symmetric.

Question 7

Which of these is NOT a measure of the middle of a data set?

Accepted Answer

Range

Answer

Mean

Question 8

In a dataset, the average value is known as the:

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 9

The sum of deviations from the mean in a dataset is always:

Accepted Answer

0

Answer

1

Answer

-1

Answer

The range

Question 10

Which of the following is NOT a measure of dispersion?

Accepted Answer

Median

Answer

Variance

Answer

Standard deviation

Answer

Interquartile range

Question 11

The interquartile range (IQR) is the difference between:

Accepted Answer

The 25th percentile and the 75th percentile

Answer

The 10th percentile and the 90th percentile

Answer

The mean and the median

Answer

The mode and the median

Question 12

In a box-and-whisker plot, the box represents:

Accepted Answer

The interquartile range

Answer

The range

Answer

The mean

Answer

The median

Question 13

Which measure of central tendency is most vulnerable to the presence of extreme values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 14

Which of the following is NOT a step in finding the range of a data set?

Accepted Answer

Divide the sum of all the values by the number of values

Answer

Organize the data in order from least to greatest

Answer

Subtract the smallest value from the largest value

Answer

Round the result to the nearest whole number

Question 15

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

Accepted Answer

Perimeter

Answer

Mean

Answer

Median

Answer

Mode

Question 16

The median of a dataset is the:

Accepted Answer

Middle number when arranged in order

Answer

Sum of all numbers

Answer

Average of all numbers

Answer

Most frequent number

Question 17

To calculate the range of a dataset, you:

Accepted Answer

Subtract the smallest number from the largest number

Answer

Add the smallest number to the largest number

Answer

Multiply the smallest number by the largest number

Answer

Divide the largest number by the smallest number

Question 18

Which dataset has the smallest range?

Accepted Answer

{0, 2, 4, 6, 8}

Answer

{2, 4, 6, 8, 10}

Answer

{1, 3, 5, 7, 9}

Answer

{3, 5, 7, 9, 11}

Question 19

If the mean of two numbers is 8 and one number is 10, what is the other number?

Accepted Answer

4

Answer

6

Answer

8

Answer

10

Question 20

Which statistical measure describes the spread of a dataset?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 21

Which of the following is a measure of the center of a dataset?

Accepted Answer

Mean

Answer

Variance

Answer

Standard deviation

Answer

Range

Question 22

A dataset has a mean of 10 and a range of 12. What is the possible maximum value in the dataset?

Accepted Answer

22

Answer

0

Answer

2

Answer

8

Question 23

Which of the following measures of central tendency is most affected by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 24

Which of the following is a graphical representation of a dataset that shows the frequency of occurrence of different values?

Accepted Answer

Histogram

Answer

Scatter plot

Answer

Line graph

Answer

Bar graph

Question 25

Which of the following is a measure that describes the 'average' value in a data set?

Accepted Answer

Mean

Answer

Range

Answer

Variance

Answer

Standard deviation

Question 26

When analyzing data that is not evenly distributed, which measure of central tendency is most suitable?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 27

When dealing with skewed data, which measure of central tendency is least affected by extreme values?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 28

What is the formula for calculating the interquartile range (IQR) of a dataset?

Accepted Answer

IQR = Q3 - Q1

Answer

IQR = Q3 + Q1

Answer

IQR = (Q3 - Q1) / 2

Answer

IQR = (Q1 - Q3) / 2

Question 29

What measure of central tendency finds the middle value when the data is arranged in order?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 30

What is the name of the value that appears most often in a data set?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Range

Question 31

Which of these is NOT a measure of central tendency?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 32

Find the range of this data set: 6, 8, 10, 12, and 14

Accepted Answer

6

Answer

2

Answer

4

Answer

8

Question 33

Which measure of central tendency is most easily affected by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 34

Compare the variability of two data sets: Data set A has a mean of 50 and a range of 20. Data set B has a mean of 50 and a range of 10. Which data set is more variable?

Accepted Answer

Data set A

Answer

Data set B

Answer

They have the same variability

Answer

Cannot be determined without more information

Question 35

What is a potential drawback of using the mean as a measure of central tendency?

Accepted Answer

It can be affected by outliers.

Answer

It can be difficult to calculate.

Answer

It is not always representative of the data.

Answer

It is only useful for large data sets.

Question 36

Which value divides a dataset into two equal halves when arranged in order from smallest to largest?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 37

What value appears most often in a dataset?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Range

Question 38

What is the difference between the largest and smallest values in a dataset?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 39

Which of the following is a measure of the 'average' of a dataset?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 40

What is the term used to describe the average of all numbers in a data set?

Accepted Answer

Mean

Answer

Mode

Answer

Median

Question 41

Which of the following refers to the middle value in a data set when arranged in order from least to greatest?

Accepted Answer

Median

Answer

Mode

Answer

Mean

Answer

Range

Question 42

Which of the following measures the spread of data in a data set?

Accepted Answer

Range

Answer

Median

Answer

Mean

Answer

Mode

Question 43

Find the median score from the following data set: 85, 90, 95, 88, 75, 92, 89, 87, and 86.

Accepted Answer

88

Answer

85

Answer

95

Answer

90

Question 44

Identify the mode of the following data set: apple, orange, banana, apple, orange, pear, banana, mango, pear.

Accepted Answer

Apple and banana

Answer

Pear

Answer

Orange

Question 45

What is the definition of frequency in a data set?

Accepted Answer

The number of times a data value appears.

Answer

The difference between the highest and lowest data values.

Answer

The average of all the data values.

Answer

The most frequently occurring data value.

Question 46

In 5 soccer matches, a team scored these goals: 2, 0, 3, 1, and 2. What is the average number of goals scored per match?

Accepted Answer

1.6 goals

Answer

2 goals

Answer

3 goals

Answer

1 goal

Question 47

A class counted the number of siblings each student has: 2, 1, 0, 1, 2, 3, 1, 0. Which number of siblings appears most often?

Accepted Answer

1 sibling

Answer

2 siblings

Answer

0 siblings

Answer

3 siblings

Question 48

The highest temperature recorded in a week was 85°F, and the lowest was 68°F. What is the difference between the highest and lowest temperatures?

Accepted Answer

17°F

Answer

153°F

Answer

76.5°F

Answer

85°F

Question 49

A bakery recorded the number of cakes sold each day for a week: 12, 15, 10, 18, 12, 16, 14. Which measure of central tendency would be most affected if a day with an extremely high or low number of cakes sold was added?

Accepted Answer

Mean

Answer

Mode

Answer

Range

Answer

Median

Question 50

A survey asked students about their favorite school subject. The results were: Math (25%), Science (30%), English (20%), History (15%), Art (10%). Which subject did the most students choose as their favorite?

Accepted Answer

Science

Answer

History

Answer

Math

Answer

English

Question 51

A group of students measured the length of their pencils in centimeters: 10, 12, 9, 11, 10. What is the difference between the longest and shortest pencil lengths?

Accepted Answer

3 cm

Answer

10 cm

Answer

12 cm

Answer

9 cm

Question 52

A store tracked the number of customers who bought ice cream each day: Monday (15), Tuesday (20), Wednesday (18), Thursday (22), Friday (25). What is the middle value of the number of customers who bought ice cream?

Accepted Answer

20 customers

Answer

18 customers

Answer

22 customers

Answer

15 customers

Question 53

A group of friends played a game and recorded their scores: 10, 12, 10, 15, 13. Which score appeared most frequently?

Accepted Answer

10

Answer

15

Answer

12

Answer

13