Question

Below are the jersey numbers of 11 players randomly selected from a football team. Find the​ range, variance, and standard deviation for the given sample data.

What do the results tell​ us? 36 98 75 92 56 58 57 34 37 26 3

Range = 95​

Sample standard deviation =

​(Round to one decimal place as​ needed.)

Answer 1

Date: 31/05/2019 Answer The range is, Range = Largest Value-Smallest Value -98- 3 = 95 The range is 95 The sample variance is, mef the samle variane The sample mean is, 36+98 75+92+56+58+57+34+37+26+3 = 52

The sample variance is, 2(r-)2 (36-52)2+(98 52)2(26 52)2 +(3 - 52)2 11-1 820.40 The sample variance is 820.40 The sample standard deviation is, Σ(x-x)2 n-1 (36 - 52)2 +(98- 52)2+... + (26 -52)+(3-52)2 11-1 820.40 -28.6428.6 The sample standard deviation is 28.6

The result does tell us that the range of jersey number of 11 player randomly selected from a football team range is 95, the sample variance is 820.40 and the sample standard deviation is 28.6.