SOLUTION: Find the number of data within 1 standard deviation of the mean: 52, 76, 69, 63, 69, 68, 65, 61. Thanks!

Question 962517: Find the number of data within 1 standard deviation of the mean: 52, 76, 69, 63, 69, 68, 65, 61.
Thanks!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Mean = 523/8 = 65.375

You get the mean by adding up all the numbers and then dividing by 8 (since there are 8 numbers).

-------------------------------------------------------

Standard Deviation = 7.0698

This is approximate. Doing the calculation by hand is tedious so use a calculator here.

-------------------------------------------------------

Lower Bound:
L = (mean) - (standard deviation) = 65.375 - 7.0698 = 58.3052

Upper Bound:
U = (mean) + (standard deviation) = 65.375 + 7.0698 = 72.4448

-------------------------------------------------------

So the data that is roughly within 1 standard deviation of the mean will range from 58.3052 to 72.4448

Those data values that are between 58.3052 and 72.4448 from the data set are: 69, 63, 69, 68, 65, 61

There are 6 data values. So that is the final answer.

If you need more one-on-one help, or if you have any questions, email me at jim_thompson5910@hotmail.com
RELATED QUESTIONS
The final grade in statistics of 80 student at AAMUSTED Mathematics level100 are recorded (answered by CPhill)

63, 66, 66, 66, 66, 67, 67, 67, 67, 68, 68, 69, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70,... (answered by Boreal,skatergurl8)

5. A researcher claims that the average age of people who buy lottery tickets is 65. A... (answered by Edwin McCravy)

A researcher claims that the average age of people who buy lottery tickets is 65. A... (answered by ewatrrr)

A researcher claims that the average age of people who buy lottery tickets is 64. A... (answered by reviewermath)

I am having trouble finding the answer to E and F in this problem. could you show me how... (answered by ewatrrr)

Please Help. . A researcher claims that the average age of people who buy lottery tickets (answered by stanbon)

Use the following list of resting pulse rates of 55 people. The mean of these rates is... (answered by stanbon)

find the standard deviation for 68 72 69 65 71 72 68 71 67... (answered by lynnlo)