Question

If I know the mean (111.1660 and std. deviation (32.83) of 135, 71, 69, 80, 158, 152, 161, 96,122, 118, 87,85 how do I determine within how many std. deviations of the mean do all the values fall?

Answer 1

first find the value that is furthest from the mean ,

second find how far that values is from the mean,

divide this by the std. dev

Answer 2

(and round up)

Answer 3

@berrypicking

Maximum = 161; Minimum = 69; Mean = 111.1660
Population SD = 32.83
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(161 - 111.166) / 32.83 = 1.5179, so thee maximum data value is 1.518 standard deviations from mean.

(69 - 111.166) / 32.83 = -1.28437404813, so the minimum data value is -1.284 standard deviations from mean.

Round the larger standard deviation, 1.518, up to 2.
Round the smaller standard deviation, -1.284, down to -2.

Therefore, 2 standard deviations (higher or lower) from the mean includes all data values.

Answer 4

thank u so much-easy to understand