Question

87 The mean of the following discrete series
(frequency distribution),
x: 7,12, 16, 22, 25
f: 4, 5, 8, 3, 2
is:
(a) 16.40
(b) 15.09
(c) 20.80
(d) none of the three​

Answer 1

Answer:

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Answer 2

Given:

x: 7,12, 16, 22, 25

f: 4, 5, 8, 3, 2

To find:

The mean of the discrete series

Solution:

From the given information, we have the data as follows.

x: 7,12, 16, 22, 25

f: 4, 5, 8, 3, 2

The mean is calculated as follows.

m = ∑fx/∑f

∑fx and ∑f are calculated as follows.

x: 7,12, 16, 22, 25   ⇒ ∑x = 82

f:  4, 5, 8,    3, 2      ⇒ ∑f = 22

fx: 28, 60, 128, 66, 50 ⇒ ∑fx = 332

Therefore, the values of ∑fx and ∑f are 332 and 22.

Therefore, the mean is calculated as follows.

m = ∑fx/∑f

m = 332/22

m = 166/11

m = 15.09

Therefore, the mean of the given data is, option (b) 15.09