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? 19 41 23 4 73 45 87 34 28 17 78 What is the Sample Standard Deviation?

Answer 1

Solution

Given that

The range = Maximimu Value - Minimumu Value

= 87 - 4

= 83

The range =83

x	x2
19	361
41	1681
23	529
4	16
73	5329
45	2025
87	7569
34	1156
28	784
17	289
78	6084
∑x=449	∑x2=25823

Sample Variance S2=∑x2-(∑x)2nn-1

=25823-(449)211/10

=25823-18327.3636/10

=7495.6364/10

=749.5636

Sample Standard deviation S=√∑x2-(∑x)2nn-1

=√25823-(449)211/10

=√25823-18327.3636/10

=√7495.6364/10

=√749.5636

=27.3782