Question Which of the data sets represented by the following histograms has the smallest standard deviation? Correct! You nailed it. A histogram has a horizontal axis from 0.00 to 50.00 in increments of 2.00 and a vertical axis from 0 to 100 in increments of 25. The histogram has vertical bars of width 2.00 starting at the horizontal axis value 10.00. The approximate heights of the bars are as follows, where the left horizontal axis label is listed first and the approximate height is listed second: 10.00, 25; 12.00, 38; 14.00, 43; 16.00, 49; 18.00, 62; 20.00, 68; 22.00, 72; 24.00, 78; 26.00, 82; 28.00, 80; 30.00, 79; 32.00, 73; 34.00, 66; 36.00, 53; 38.00, 46; 40.00, 41; 42.00, 33; 44.00, 20. A histogram has a horizontal axis from 0.00 to 50.00 in increments of 2.00 and a vertical axis from 0 to 100 in increments of 25. The histogram has vertical bars of width 2.00 starting at the horizontal axis value 4.00. The approximate heights of the bars are as follows, where the left horizontal axis label is listed first and the approximate height is listed second: 4.00, 80; 6.00, 95; 8.00, 73; 10.00, 76; 12.00, 61; 14.00, 55; 16.00, 31; 18.00, 31; 20.00, 23; 22.00, 23; 24.00, 20; 26.00, 15; 28.00, 23; 30.00, 15; 32.00, 20; 34.00, 32; 36.00, 46; 38.00, 35; 40.00, 88; 42.00, 93. A histogram has a horizontal axis from 0.00 to 50.00 in increments of 2.00 and a vertical axis from 0 to 100 in increments of 25. The histogram has vertical bars of width 2.00 starting at the horizontal axis value 40.00. The approximate heights of the bars are as follows, where the left horizontal axis label is listed first and the approximate height is listed second: 40.00, 85; 42.00, 95. A histogram has a horizontal axis from 0.00 to 50.00 in increments of 2.00 and a vertical axis from 0 to 100 in increments of 25. The histogram has vertical bars of width 2.00 starting at the horizontal axis value 12.00. The approximate heights of the bars are as follows, where the left horizontal axis label is listed first and the approximate height is listed second: 12.00, 67; 14.00, 80; 16.00, 95; 18.00, 75; 20.00, 75. Answer Explanation Correct answer: A histogram has a horizontal axis from 0.00 to 50.00 in increments of 2.00 and a vertical axis from 0 to 100 in increments of 25. The histogram has vertical bars of width 2.00 starting at the horizontal axis value 40.00. The approximate heights of the bars are as follows, where the left horizontal axis label is listed first and the approximate height is listed second: 40.00, 85; 42.00, 95. Remember that the standard deviation is a measure of how spread out the data is. If the values are concentrated around the mean, then a data set has a lower standard deviation. A histogram with a taller hill indicates higher frequencies of the same values, and has a lower standard deviation than a histogram with a shorter hill and a wider range of values.

Assignment Skewness and Standard Deviation

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