Chebyshev's Inequality

[keep_running]

Sample has 438 observation
Mean of sample is 382
standard deviation is 14
using the chebyshev’s inequality, endpoints that contain the 88.89% of the data is closest to:
I understand how you get k = 3, when trying to compute how many SDs would contain 88.89% of the data, but I am confused on why you multiple 3 by 14 to get the endpoints. What is the different between the two standard deviations (3 and 14)?

 

[S2000magician]

3 is the number of standard deviations.
3 × 14 is the size of three standard deviations.

 

[keep_running]

I am confused on the difference between the two…

 

[S2000magician]

You have three (5-lb.) bags of potatoes, or you have 15 lbs. of potatoes.

 

[SportBiker]

3 is not a standard deviation. It is the number of standard deviations.
To paraphrase S2000, you have three (14 lb) bags of Quikrete.