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 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, 11.1 nin 30-36 37-43 44-50 51-57 58-64 16 65-71 38 72-78 30 Interval Frequency Standard deRound to one decimal place as needed.) Consider a difference of 20% between two values of a standard deviation to be significant. How does this computed value compare with the given standard deviation A. The computed value is not significantly different from the given value B. The computed value is significantly less than the given value ° C. The computed value is significantly greater than the given value Click to select your answer(s).

Explanation / Answer

sd = 16.92621

b)

0.8 * 16.92621 = 13.54

opton C) is correct

Mid Point, x Days,f xf f(x-mean)^2 30-36 33 2 66 4336.80706 37-43 40 2 80 3130.9557 44-50 47 7 329 7423.8652 51-57 54 3 162 1960.87948 58-64 61 16 976 5515.21299 65-71 68 38 2584 5083.45501 72-78 75 30 2250 625.483556 Total 98 6447 28076.659 mean 65.78571 sd 16.92621

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