Question

The frequency distribution of diameter (D) of 101 steel balls is given in the following list-

D(mm)	43	44	45	46	47	48
No.	13	15	22	21	16	14

find the mean of the diameter in mm

• A. 45.4
• B. 45.5
• C. 45.7
• D. 45.6

Answer 1

Answer:

B. 45.5

Solution:

Concept used:

Arithmetic means → The total of the sum of all values in a collection of numbers divided by the number of numbers in a collection. It is calculated in the following way

Calculation:

Mean =$\frac{43\times{13}+44\times{15}+45\times{22}+46\times{21}+47\times{16}+48\times{14}}{(13+15+22+21+16+14)}$

⇒ $\frac{4599}{101}$

⇒ 45.53 

∴ Required mean is 45.5