Question

What is the mean of data given in table? 

Value (X)	Frequency (Y)
6	25
3	30
5	40
2	35
4	12
6	26

• A. 5.60
• B. 7.50
• C. 4.25
• D. 6.26

Answer 1

Answer:

C. 4.25

Solution:

Formula Used:

Mean of the data = Sum of all value / Sum of frequency = ΣXY/ΣY

Calculation:

Value (X)	Frequency (Y)	XY
6	25	150
3	30	90
5	40	200
2	35	70
4	12	48
6	26	156

 

Σ XY = 150 + 90 + 200 + 70 + 48 + 156 = 714

Σ Y = 25 + 30 + 40 + 35 + 12 + 26 = 168

So,

Mean = Σ XY / ΣY = $\frac{714}{168}$ = 4.25

∴ The correct answer is option (3).