Assistance appreciated. The mean of a distribution that is approximately normal is 69, and the standard deviation is 4. Use the standard deviation to tell how the data is distributed with respect to the mean.

Question

amistre64 · Answer

how much data is between +-1 sd of the mean?

mean +- 1(sd)

for +- 2sd?  +-3sd?  etc ...

amistre64 · Answer

other than that the question is a bit vague, do they want percentages of data under a range of sd?  a probability?  uh ....

jojokiw3 · Answer

Hmm, I guess it just wants to know the percentage of data between the ranges? So it's probably 68% between 65 and 73, and 95% between 61 and 77? o_O

amistre64 · Answer

it may be;  using empirical rule to assess percentage of data spread from the mean

amistre64 · Answer

i just dont like the way its worded if thats the case

amistre64 · Answer

4+4 = 8 soo 8 datapoints fall within 1 sd of the mean and are about 68% of the population/sample

amistre64 · Answer

not 8 data points,  65 to 73 is the range of ..... yeah

jojokiw3 · Answer

Okay. :) I see. Thanks!