Use the graph to answer the question Which data set has the same range as the box- and-whisker plot shown ? 4 5 67 8 6 1011 ( 1 point ) 14, 26, 32, 20; 64, 60, 62, 63, 63, 65; 19, 16, 26, 18, 23; 11, 9, 15, 14, 9, 12

3 answers

The range of a data set is the difference between the maximum and minimum values. Looking at the box-and-whisker plot, we can see that the minimum value is 4 and the maximum value is 11, so the range is 11 - 4 = 7.

Out of the given data sets, the only one with a range of 7 is:

11, 9, 15, 14, 9, 12

Thus, the data set 11, 9, 15, 14, 9, 12 has the same range as the box-and-whisker plot shown.
The variance of a data set is 4. What is the standard deviation?
The standard deviation is the square root of the variance. So, if the variance is 4, the standard deviation would be the square root of 4, which is 2.

Therefore, the standard deviation of the data set is 2.