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1. The following data represents the age distribution of a sample of 100 people covered by health insurance (private or government). The sample was taken
1. The following data represents the age distribution of a sample of 100 people covered by health insurance (private or government). The sample was taken in 2003.
Age | Number |
25 - 34 | 23 |
35 - 44 | 29 |
45 - 54 | 28 |
55 - 64 | 20 |
Find the mean, mode, and median of the grouped frequency distribution.
Age | Mid-value(x) | Number(f) | product | (fx) | Cumulative |
25 - 34 | 29.5 | 23 | 678.5 | 23 | |
35 - 44 | 39.5 | 29 | 1145.5 | 52 | |
45 - 54 | 49.5 | 28 | 1386 | 80 | |
55 - 64 | 59.5 | 20 | 1190 | 100 | |
100 | 4400 |
Mean = 4400/100 = 44
Mode = 35-44
Median = 35+(27/29)*9=35+8.4=43.4
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