Question

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.

Answer 1

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.