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
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.
To determine which data set has the same range as the box-and-whisker plot shown, we need to analyze the range of the plot.
The range of a data set is the difference between the maximum and minimum values. Looking at the given box-and-whisker plot, we can see that the upper whisker extends to 11 and the lower whisker extends to 4. Therefore, the range of the plot is 11 - 4 = 7.
Now let's examine each of the given data sets to see if any of them have a range of 7:
Data set 1: 14, 26, 32, 20; 64, 60, 62, 63, 63, 65; 19, 16, 26, 18, 23; 11, 9, 15, 14, 9, 12
The maximum value in this data set is 65 and the minimum value is 9. The range is 65 - 9 = 56, which is not equal to 7.
Therefore, the data set 14, 26, 32, 20; 64, 60, 62, 63, 63, 65; 19, 16, 26, 18, 23; 11, 9, 15, 14, 9, 12 does not have the same range as the box-and-whisker plot shown.