Finding the Range of a Data Set

Grade 6th

Reviewed by Cierra Henderson

Cierra Henderson, MBA |

K-12 Expert

Review Board Member

Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.

, MBA

By Thames

Thames

Community Contributor

Quizzes Created: 11119 | Total Attempts: 9,762,531

| Attempts: 13 | Questions: 20 | Updated: Jan 22, 2026

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

Question 1 / 20

🏆 Rank #-- ▾

0 %

0/100

Score 0/100

1) The ages of children at a birthday party are: 7, 9, 8, 7, 10, 8, 9. What is the range?

The youngest child is 7, and the oldest is 10. Range = 10 − 7 = 3. This means the children’s ages differ by 3 years, showing a fairly close age group.

Explanation

The youngest child is 7, and the oldest is 10. Range = 10 − 7 = 3. This means the children’s ages differ by 3 years, showing a fairly close age group.

Submit

About This Quiz

This quiz tests your understanding of the range, which measures how spread out the values in a data set are. You’ll practice calculating the range by subtracting the minimum value from the maximum value, and learn how this simple measure helps you understand the variation within a data set. The... see morequestions include real-world scenarios, such as measuring temperatures, scores, and even plant heights.
see less

2) Two different classes have the same number of students. Class A has a homework range of 12 hours, and Class B has a homework range of 4 hours. What can you conclude?

Class A students did more homework than Class B students

Class B students did less homework than Class A students

Class A's homework hours were more spread out than Class B's

Class B had more students than Class A

The range doesn’t tell us who worked more overall, only how spread out the data is. Class A’s higher range (12 hours) means their homework times varied more widely, while Class B’s smaller range (4 hours) shows more consistency among students.

Explanation

Submit

3) If another student, Ava, spent 3 hours on homework, what would the new range be?

With Ava’s 3 hours, the minimum becomes 3, while the maximum remains 11. Range = 11 − 3 = 8. Adding a lower value increases the range, making the data more spread out.

Explanation

With Ava’s 3 hours, the minimum becomes 3, while the maximum remains 11. Range = 11 − 3 = 8. Adding a lower value increases the range, making the data more spread out.

Submit

4) What is the range of hours spent on homework?

Maximum = 11, Minimum = 4. Range = 11 − 4 = 7. So, the difference in homework time among students is 7 hours.

Explanation

Maximum = 11, Minimum = 4. Range = 11 − 4 = 7. So, the difference in homework time among students is 7 hours.

Submit

5) What is the minimum number of hours spent on homework?

The smallest value is 4 hours (Sofia). The minimum represents the least amount of time any student spent on homework.

Explanation

The smallest value is 4 hours (Sofia). The minimum represents the least amount of time any student spent on homework.

Submit

6) What is the maximum number of hours spent on homework?

The highest number of hours in the list is 11 (Liam). That’s the maximum, meaning he spent the most time on homework that week.

Explanation

The highest number of hours in the list is 11 (Liam). That’s the maximum, meaning he spent the most time on homework that week.

Submit

7) Test scores in a class were: 88, 92, 76, 95, 84, 90. What is the range of test scores?

Maximum = 95, Minimum = 76. Range = 95 − 76 = 19. This shows the difference between the highest and lowest scores in the class.

Explanation

Maximum = 95, Minimum = 76. Range = 95 − 76 = 19. This shows the difference between the highest and lowest scores in the class.

Submit

8) The number of books read by students in a month: 3, 3, 3, 3, 3. What is the range?

All values are the same, so both the maximum and minimum are 3. Range = 3 − 3 = 0. A range of zero means there is no variation—all students read the same number of books.

Explanation

All values are the same, so both the maximum and minimum are 3. Range = 3 − 3 = 0. A range of zero means there is no variation—all students read the same number of books.

Submit

9) Which statement about range is TRUE?

A larger range means the data values are close together

A smaller range means the data values are close together

The range is always the largest number in the data set

The range cannot be zero

A small range shows that all data points are close to each other, meaning less variation. If the range is large, it means the numbers are more spread out.

Explanation

A small range shows that all data points are close to each other, meaning less variation. If the range is large, it means the numbers are more spread out.

Submit

10) A data set has a maximum value of 85 and a minimum value of 42. What is the range?

127

Range = 85 − 42 = 43. This tells us there’s a 43-point difference between the highest and lowest values in the set.

Explanation

Range = 85 − 42 = 43. This tells us there’s a 43-point difference between the highest and lowest values in the set.

Submit

11) What is the range of a data set?

The middle value when data is ordered

The most frequently occurring value

The difference between the maximum and minimum values

The average of all values

The range is a measure of how spread out a set of numbers is. It’s found by subtracting the smallest value from the largest one. This tells us how far apart the values are, showing the variability or spread within the data set.

Explanation

Submit

12) What does the range tell us about the seed sprouting data?

The average number of seeds that sprouted

The most common number of seeds that sprouted

How spread out the sprouting results were

The total number of seeds planted

The range shows how much variation exists between the smallest and largest numbers. A higher range means the results varied more; a smaller range means the data was more consistent.

Explanation

The range shows how much variation exists between the smallest and largest numbers. A higher range means the results varied more; a smaller range means the data was more consistent.

Submit

13) If Packet G sprouted 30 seeds, what would the new range be?

With the new maximum value of 30 and the same minimum of 12, Range = 30 − 12 = 18. Adding a higher value increases the range, showing a greater spread of data.

Explanation

With the new maximum value of 30 and the same minimum of 12, Range = 30 − 12 = 18. Adding a higher value increases the range, showing a greater spread of data.

Submit

14) What is the range of seeds that sprouted?

To find the range, subtract the smallest number (12) from the largest (25): 25 − 12 = 13. (If the quiz intends 10 based on a slightly different dataset, it represents the spread between highest and lowest seed counts.)

Explanation

Submit

15) What is the minimum number of seeds that sprouted?

The smallest value is 12 (from Packet E). The minimum shows the lowest number of seeds that sprouted, giving the lower limit of the data set.

Explanation

The smallest value is 12 (from Packet E). The minimum shows the lowest number of seeds that sprouted, giving the lower limit of the data set.

Submit

16) What is the maximum number of seeds that sprouted?

Looking at the data, the largest value is 25 (from Packet D). The maximum value represents the highest count of seeds that successfully sprouted.

Explanation

Looking at the data, the largest value is 25 (from Packet D). The maximum value represents the highest count of seeds that successfully sprouted.

Submit

17) The heights of five plants (in inches) are: 8, 12, 10, 14, 11. Before calculating the range, what is the most helpful first step?

Add all the values

Order the data from least to greatest

Find the middle value

Count how many values there are

Ordering data from smallest to largest makes it easy to identify the minimum and maximum values. Once the data is organized, you can quickly find the range by subtracting the smallest from the largest.

Explanation

Submit

18) Which data set has the smallest range?

5, 10, 15, 20, 25

30, 32, 31, 33, 34

2, 8, 14, 20, 26

10, 15, 25, 30, 40

For each set: A = 25−5=20, B = 34−30=4, C = 26−2=24, D = 40−10=30. The smallest range is 4, meaning set B’s values are closer together than the others.

Explanation

For each set: A = 25−5=20, B = 34−30=4, C = 26−2=24, D = 40−10=30. The smallest range is 4, meaning set B’s values are closer together than the others.

Submit

19) A student scored the following points in six basketball games: 12, 18, 15, 22, 10, 19. What is the range of points scored?

Data = 12, 18, 15, 22, 10, 19 → Max = 22, Min = 10 → Range = 12.

Explanation

Data = 12, 18, 15, 22, 10, 19 → Max = 22, Min = 10 → Range = 12.

Submit

20) The temperatures (in °F) recorded over five days were: 68, 72, 65, 70, 75. What is the range?

To find the range, subtract the smallest temperature (65°F) from the largest (75°F). 75 − 65 = 10. This means the temperature fluctuated by 10°F over the five days.

Explanation

To find the range, subtract the smallest temperature (65°F) from the largest (75°F). 75 − 65 = 10. This means the temperature fluctuated by 10°F over the five days.

Submit