The table below has a total of 47 values.  Find the 9th decile for the following Grouped Frequency Data Table (GFDT).  Lower Class Limit Upper Class Limit Frequency 30 34 4 35 39 6 40 44 2 45 49 9 50 54 7 55 59 4 60 64 3 65 69 9 70 74 3

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The table below has a total of 47 values.  Find the 9th decile for the following Grouped Frequency Data Table (GFDT). 

Lower Class Limit Upper Class Limit Frequency
30 34 4
35 39 6
40 44 2
45 49 9
50 54 7
55 59 4
60 64 3
65 69 9
70 74 3

The 9th decile = 

Expert Solution
Step 1

The percentiles which is multiple of 10 is called decile. So 9th decile mean 90 percentile and it will be the point below which 90% of the data lie. To find this point first find the total frequency and then find the 90% of the total frequency.

Total frequency=4+6+2+9+7+4+3+9+3=47

Find the cumulative frequency by adding the frequencies.

Group Cumulative frequency.
30-34 4
35-39 10
40-44 12
45-49 21
50-54 28
55-59 32
60-64 35
65-69 44
70-74 47
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