Range Calculation Quiz: Calculating Range from Data Lists

The range is found by subtracting the smallest score from the largest one. Here the largest is 90 and the smallest is 70, and 90 minus 70 gives 20.

To find the range, compare the largest value, 27, with the smallest value, 12. The difference 27 minus 12 is 15, so the range is 15.

Range is the difference between the highest and lowest numbers. The highest here is 74 and the lowest is 56, so the range is 74 minus 56, which is 18.

A data set has a range of 0 only when all numbers are exactly the same. Sets like 8, 8, 8 and 14, 14, 9 have no difference between largest and smallest, so the range is 0.

The highest value is 96 and the lowest is 92. Subtracting them gives 4, so the range is 4.

Adding the same number to every value shifts the entire set upward evenly. Since both the largest and smallest increase by the same amount, the range stays exactly the same.

The smallest number in the set is 40 and the largest is 100. The difference 100 minus 40 is 60, so the range is 60.

For each set, check the biggest minus the smallest. In 5, 25, 35 the range is 30, and in 0, 22, 45 the range is 45, which are both greater than 20.

Every value is 12, so the difference between the largest and smallest is zero. When all values are identical, the range must be 0.

The largest number is 100 and the smallest is 80, so the range is 20. The statement says 30, which does not match, so it is false.

The smallest value is −5 and the largest is 10. Subtracting gives 10 minus (−5), which equals 15, so the range is 15.

Here, the lowest value is 45 and the highest is 75. The difference 75 minus 45 is 30.

The smallest number is 33 and the largest is 52, giving a difference of 19 for the range.

The lowest value is 70 and the highest is 91. Subtracting gives a range of 21

To check for a range of 10, look at the difference between the highest and lowest in each set. For example, 20 to 30 changes by 10, 7 to 17 changes by 10, and 90 to 100 changes by 10.

All values are zero, so the largest and smallest are the same. The difference is 0, giving a range of 0.

Each set must have a difference of 8 between the highest and lowest. For example, 3 to 11 is 8, 50 to 58 is 8, and 0 to 8 is also 8.

The smallest number is 15 and the largest is 30. The difference is 15, so the statement is true.

The minimum value is −3 and the maximum is 10. Subtracting gives 10 minus (−3) which equals 13, so the range is 13.

When two classes have the same mean but one has a larger range, the class with the larger range has scores spread out more widely. A bigger range always means more variability.