Henry recorded the number of miles he biked each day for a week. His miles were 25, 40,35, 25, 40, 60, and 75,Enter the data into the statistics calculator,What is the standard deviation of the miles Henry biked to the nearest tenth?

Answer:SD = 17.1 milesStep-by-step explanation:In order to find the SD we have to calculate mean firstSo,[tex]Mean = \frac{sum}{no.\ of\ items} \\=\frac{25+40+35+25+40+60+75}{7}\\ =\frac{300}{7}\\ =42.86[/tex]Now mean will be subtracted from each value and the answers will be squaredSo,X            X-mean          (X-mean)^225           -17.86            318.979640            -2.86             8.179635             -7.86            61.779625            -17.86            318.979640             -2.86             8.179660             17.14             293.779675              32.14           1032.9796So,Sum of squares = 2042.8572As SD is the square root of varianceso,Variance = Sum of squares / number of data values=2042.8572/7=291.84Hence,[tex]SD = \sqrt{Variance} =\sqrt{291.84} \\=17.083\\to\ the\ nearest\ tenth\\SD=17.1\ miles[/tex]   ..