.Given this data, what is the mean, median and mode? Show how you got the results (formulas). Use Excel or another program to create a bar chart and explain the chart in words.
Age |
Number (frequency) of cases of Disease x |
40-44 |
2 |
45-49 |
7 |
50-54 |
13 |
55-59 |
12 |
60-64 |
7 |
65-69 |
3 |
Ans:
Age | mid point,x | frequency of cases,f | x*f |
40-44 | 42 | 2 | 84 |
45-49 | 47 | 7 | 329 |
50-54 | 52 | 13 | 676 |
55-59 | 57 | 12 | 684 |
60-64 | 62 | 7 | 434 |
65-69 | 67 | 3 | 201 |
Total | 44 | 2408 | |
mean= | 54.73 |
mean=2408/44=54.73
Total number of cases=44
median will be between 22nd and 23rd data value.
median is between 54 and 55,so median=54.5,as it divides the data into two equal halves(i.e. 44/2=22)
mode lies in the class 50-54,as it has the highest frequency i.e. 13
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