Question
Download Solution PDFCalculate the mean from the following table.
|
Scores |
Frequencies |
|
0-10 |
2 |
|
10-20 |
4 |
|
20-30 |
12 |
|
30-40 |
21 |
|
40-50 |
6 |
|
50-60 |
3 |
|
60-70 |
2 |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
|
Scores |
Frequencies |
|
0-10 |
2 |
|
10-20 |
4 |
|
20-30 |
12 |
|
30-40 |
21 |
|
40-50 |
6 |
|
50-60 |
3 |
|
60-70 |
2 |
Formula used:
Mean = \(\Sigma fixi \over \Sigma fi\)
where fi = frequency of particular value
xi = Mid value of the frequency class
Calculation:
| Scores | Frequencies (fi) | xi | fixi |
| 0-10 | 2 | 5 | 10 |
| 10-20 | 4 | 15 | 60 |
| 20-30 | 12 | 25 | 300 |
| 30-40 | 21 | 35 | 735 |
| 40-50 | 6 | 45 | 270 |
| 50-60 | 3 | 55 | 165 |
| 60-70 | 2 | 65 | 130 |
| Total (∑): | 50 | 245 | 1670 |
Mean = \(1670 \over 50\) = 33.4
∴ The mean of the given frequency distribution table is 33.4.
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