Question

the box-and-whisker plot below represents some data set. what is the range of the data?

Explanation:

Step1: Identify min and max

From the box - and - whisker plot, the minimum value (left whisker end) is 68 (assuming the left whisker starts at 68, since the scale is from 60 - 100 and the left whisker is at 68? Wait, no, looking at the plot, the left whisker is at 68? Wait, no, the x - axis: 60, then marks. Wait, the left whisker is at 68? Wait, no, the right whisker is at 94? Wait, no, maybe the minimum is 68 and maximum is 94? Wait, no, let's re - examine. The box - and - whisker plot: the left whisker starts at 68 (since between 60 and 70, the left whisker is at 68) and the right whisker ends at 94 (between 90 and 100, at 94). Wait, no, maybe the minimum is 68 and maximum is 94? Wait, no, the range is maximum minus minimum. Wait, maybe the left whisker is at 68 and the right at 94? Wait, no, let's check the scale. The x - axis has 60, then 70, 80, 90, 100. The left whisker is at 68 (60 + 8 units, since each unit is 1? Wait, from 60 to 70, there are 10 marks, so each mark is 1. So left whisker at 68, right whisker at 94. Then range = 94 - 68 = 26? Wait, no, maybe I misread. Wait, maybe the left whisker is at 68 and the right at 94? Wait, no, let's see the plot again. Wait, the left whisker is at 68 (the leftmost line) and the right whisker is at 94 (the rightmost line). So maximum value is 94, minimum is 68. Then range = 94 - 68 = 26? Wait, no, maybe the left is 68 and right is 94? Wait, no, perhaps the minimum is 68 and maximum is 94. So range is 94 - 68 = 26. Wait, maybe I made a mistake. Wait, let's check the scale again. The x - axis: 60, then 61,62,63,64,65,66,67,68 (left whisker), then 70, etc. And the right whisker is at 94 (90 + 4). So maximum is 94, minimum is 68. So range = 94 - 68 = 26.

Wait, maybe the left whisker is at 68 and the right at 94. So range is 94 - 68 = 26.

Step1: Determine Min and Max

From the box - and - whisker plot, the minimum value (the left - most point of the whisker) is 68, and the maximum value (the right - most point of the whisker) is 94.

Step2: Calculate Range

The formula for the range of a data set is \( \text{Range}=\text{Maximum}-\text{Minimum} \).

Substitute the values: \( \text{Range}=94 - 68 = 26 \).

Answer:

26