# The arithmetic mean of marks of the students for the given data is: Marks No. of students 0-10 12 10-20 18 20-30 27 30-40 20 40-50 17 50-60 60

25 views

closed

The arithmetic mean of marks of the students for the given data is:

 Marks No. of students 0-10 12 10-20 18 20-30 27 30-40 20 40-50 17 50-60 60

1. 38
2. 48
3. 18
4. 28

by (53.7k points)
selected

Correct Answer - Option 1 : 38

Concept:

Mean of the classed Data:

$\rm Mean =\dfrac{ \sum\limits_{i=1}^{i=n}f_i\overline x_i}{\sum\limits_{i=1}^{i=n}f_i}$, where n is the total number of class and f and x̅ are the frequency and mean of the class

Calculation:

 Marks Middle Value Frequency 0 - 10 5 12 10 - 20 15 18 20 - 30 25 27 30 - 40 35 20 40 - 50 45 17 50 - 60 55 60

Mean = $\dfrac{5\times12+15\times18+25\times27+35\times20+45\times17+55\times60}{12+18+27+20+17+60}$

Mean = $5770\over154$ = 37.467 ≈ 38