Practicing Success

Target Exam

CUET

Subject

Economics

Chapter

Measures of Central Tendency

Question:

Find the value of Mean from the following data.

Marks No of Students
0-10 5
10-20 12
20-30 15
30-40 25
40-50 8
50-60 3
60-70 2
Options:

30.14

29.14

32.11

31.02

Correct Answer:

30.14

Explanation:

The correct answer is option 1: 30.14

Marks      
No of Students   (f) Mid value (m) Cumulative Frequency (c.f)
fm           
0-10 5 5 5 25
10-20 12 15 17 180
20-30 15 25 32 375
30-40 25 35 57 875
40-50 8 45 65 360
50-60 3 55 68 165
60-70 2 65 70 130
        Σfm =2110

Σf = 70

Σfm = 2110

$\overline{X}$ = Σfm /Σf

                          =  2110/70

                          = 30.14 marks