Question

In: Statistics and Probability

Listed below are the numbers on the jerseys of the starting lineup for the New Orleans Saints when they won their first Super Bowl football game.

Listed below are the numbers on the jerseys of the starting lineup for the New Orleans Saints when they won their first Super Bowl football game. Does it make sense to compute the range and standard deviation for these data?

9     23     25     88     12     19     74     77     76     73    78

Range and Standard Deviation. Exercises each provide a set of numbers. In each case, find the range and standard deviation.

Solutions

Expert Solution

Observation table -

Sr. No.

X

(X-x̅)2

1

9

1710.9474

2

12

1471.7658

3

19

983.6754

4

23

748.7666

5

25

643.3122

6

73

512.4066

7

74

558.6794

8

76

657.2250

9

77

709.4978

10

78

763.7706

11

88

1416.4986

Total

554

10176.5455

 

Range = Maximum observation - Minimum observation = 88 - 9 = 79

 

Standard deviation

s = √Σ(x – x̅)2/n – 1

s = √10176.5455/11 - 1

s = √10176.5455/10

s = √1017.6545

s = 31.9007 ≈ 31.9

 

Hence, the range & standard deviation is 79 & 31.9 respectively.


Hence, the range & standard deviation is 79 & 31.9 respectively.

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