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Question : Calculate 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

 

Option 1: 34.2

Option 2: 33.4

Option 3: 32.6

Option 4: 35.8


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 33.4


Solution :

Scores Frequencies Mid Point Mid Point × Frequencies
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

Mean = $\frac{\sum \text{ (Mid Point × Frequencies)}}{\sum \text{Frequencies}}$
= $\frac{10+60+300+735+270+165+130}{2+4+12+21+6+3+2}$
= $\frac{1670}{50}$
= 33.4
Hence, the correct answer is 33.4.

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