Finding the Range of a Data Set

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.

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.

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

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.

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.

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

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.)

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.

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.

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.

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

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.

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.

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

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.

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

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

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.

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.