Find the standard deviation, s, of sample data summarized in the frequency distr

Question

Find the standard deviation, s, of sample data summarized in the frequency distribution table given below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 9.0. s = Squareroot [sigma (f - x^2)] - [sigma (f - x)]^2 Standard deviation = (Round to one decimal place as needed). Enter your answer in the answer box and then click Check Answer.

Explanation / Answer

from above std deviation =(2245.902-46.2392) 1/2  =10.4

please revert

interval midpoint(x) freq P(x)=f/ftotal xP(x) x^2P(X) 20-29 24.5 3 0.0326 0.799 19.573 30-39 34.5 18 0.1957 6.750 232.875 40-49 44.5 44 0.4783 21.283 947.076 50-59 54.5 17 0.1848 10.071 548.851 60-69 64.5 7 0.0761 4.908 316.541 70-79 74.5 3 0.0326 2.429 180.986 92 46.239 2245.902

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