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

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 1)
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  1. 34.2
  2. 33.4
  3. 32.6
  4. 35.6

Answer (Detailed Solution Below)

Option 2 : 33.4
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
25 Qs. 50 Marks 12 Mins

Detailed Solution

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Given:

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 = 

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 =  = 33.4 

 ∴ The mean of the given frequency distribution table is 33.4.

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