Range Calculation Quiz: Calculating Range from Data Lists

The range is found by subtracting the smallest value from the largest value in the data set. The largest value is 90 and the smallest is 70. Subtracting gives 90 minus 70, which equals 20. The range tells us how spread out the values are from the lowest to the highest point in the data set.

The answer is False. To find the range, subtract the smallest value from the largest value. The largest value is 27 and the smallest is 12. Subtracting gives 27 minus 12, which equals 15, not 20. The range of this data set is 15. Identifying the correct highest and lowest values before subtracting is essential to getting the range right.

The range is found by subtracting the smallest value from the largest. The largest value is 74 and the smallest is 56. Subtracting gives 74 minus 56, which equals 18. The values 62, 68, and 71 sit in the middle of the set and do not affect the range because only the highest and lowest values are used in the calculation.

A data set has a range of 0 only when every value in the set is exactly the same. In the set 8, 8, 8, all three values are identical, so the largest and smallest are both 8. Subtracting gives 8 minus 8, which equals 0. In each of the other sets, at least two values differ from each other, so their ranges are all greater than 0.

The range is found by subtracting the smallest value from the largest. The largest value is 96 and the smallest is 92. Subtracting gives 96 minus 92, which equals 4. Even though all five values are close together, the range only measures the gap between the highest and the lowest, not the gaps between every individual pair of values in the set.

The answer is True. When the same number is added to every value in a data set, both the largest and smallest values increase by the same amount. Since the range is the difference between the largest and smallest, and both shift equally, the gap between them stays exactly the same. For example, if the range was 15 before adding 10, it will still be 15 afterwards.

The range is found by subtracting the smallest value from the largest. The smallest value is 40 and the largest is 100. Subtracting gives 100 minus 40, which equals 60. It is important to scan the full list to identify the true highest and lowest values. The number 55 is not the smallest, and 65 is not the largest, so using those would give an incorrect answer.

To check each set, subtract the smallest value from the largest. For option B, 35 minus 5 equals 30, which is greater than 20. For option D, 45 minus 0 equals 45, which is also greater than 20. For option A, 25 minus 10 equals 15, which is not greater than 20. For option C, 62 minus 60 equals 2, which is not greater than 20. Only options B and D have a range greater than 20.

Every value in this set is 12, so the largest and smallest values are both 12. Subtracting gives 12 minus 12, which equals 0. Whenever all values in a data set are identical, the range is always 0 because there is no difference between the highest and lowest values. The range being 0 means there is no spread at all in the data.

The answer is False. To find the range, subtract the smallest value from the largest. The largest value is 100 and the smallest is 80. Subtracting gives 100 minus 80, which equals 20, not 30. The value 90 sits between the highest and lowest and has no effect on the range. Only the highest and lowest values are used in the range calculation.

The range is found by subtracting the smallest value from the largest. The smallest value is 3 and the largest is 21. Subtracting gives 21 minus 3, which equals 18. The values 7 and 15 sit between the highest and lowest and do not affect the range. Only the two extreme values are needed to calculate the range correctly.

The range is found by subtracting the smallest value from the largest. The smallest value is 45 and the largest is 75. Subtracting gives 75 minus 45, which equals 30. The values 59, 61, and 62 fall between the highest and lowest values and play no role in the range calculation. Only the highest and lowest values in the set are used.

The range is found by subtracting the smallest value from the largest. The smallest value is 33 and the largest is 52. Subtracting gives 52 minus 33, which equals 19. The values 37 and 45 sit between the extremes and are not used in the range calculation. It helps to correctly identify the highest and lowest values before subtracting.

To check each set, subtract the smallest value from the largest. For option A, 30 minus 20 equals 10. For option D, 17 minus 7 equals 10. Both sets have a range of exactly 10. For option B, 16 minus 5 equals 11, not 10. For option C, 55 minus 40 equals 15, not 10. Only options A and D have a range of exactly 10.

The answer is True. To find the range, identify the largest and smallest values regardless of the order they appear in the list. The largest value is 30 and the smallest is 15. Subtracting gives 30 minus 15, which equals 15. The values do not need to be arranged in order before calculating the range — only the highest and lowest values matter.

Every value in this set is 0, so the largest and smallest values are both 0. Subtracting gives 0 minus 0, which equals 0. When all values in a data set are identical, the range is always 0, because there is no difference between the highest and lowest values. This applies regardless of what the repeated value actually is.

The range is found by subtracting the smallest value from the largest. The smallest value is 70 and the largest is 91. Subtracting gives 91 minus 70, which equals 21. The values 88, 74, and 90 fall between the extremes and do not affect the range. It helps to scan the full list carefully to identify the true highest and lowest values before calculating.

To find the range of each set, subtract the smallest from the largest. For option B, 58 minus 50 equals 8, so this set has a range of exactly 8. For option A, 12 minus 3 equals 9. For option C, 29 minus 20 equals 9. For option D, 14 minus 10 equals 4. Only option B produces a range of exactly 8.

The answer is False. To find the range, subtract the smallest value from the largest. The smallest value is 6 and the largest is 20. Subtracting gives 20 minus 6, which equals 14, not 13. A common mistake is to use a value from the middle of the set instead of the true highest or lowest. The correct range of this data set is 14.

The range measures how spread out the scores are from the lowest to the highest value. Even though both classes have the same mean of 75, Class B has a much larger range of 40 compared to Class A's range of 10. A larger range means the scores cover a wider gap from lowest to highest, so Class B has more variability in its scores. Having the same mean does not mean the scores are equally spread out.