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Question

Find the standard deviation for frequency distribution, compare the standard distribution with the given values

 

37) 11.1 years

Age	Frequency
20-29	27
30-39	34
40-49	13
50-59	2
60-69	4
70-79	1
80-89	1

 

39) 13.4

 

IQ Score	Frequency
50-59	4
60-69	10
70-79	25
80-89	43
90-99	26
100-109	8
110-119	3
120-129	2

 

Answer 1

Step 1:

(37)

Standard deviation of the grouped frequency distribution:

where .

Construct a table for calculating standard deviation using .

Standard deviation:

Standard deviation : 12.3490.

Solution:

Standard deviation of the grouped frequency distribution is 12.3490.

Answer 2

Step 1:

(39)

Standard deviation of the grouped frequency distribution:

where .

Construct a table for calculating standard deviation using .

Standard deviation:

Standard deviation : 13.477.

Solution:

Standard deviation of the grouped frequency distribution is 13.477.