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.
Interval |
2020-2929 |
3030-3939 |
4040-4949 |
5050-5959 |
6060-6969 |
7070-79 |
---|
Frequency |
55 |
2424 |
4242 |
1616 |
77 |
2 |
---|
Standard deviation = ? (Round 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,
9.09.0?
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