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This table shown gives the scores of a group of... - JAMB Mathematics 2019 Question

This table shown gives the scores of a group of students in a Further Mathematics Test.

Score 1 2 3 4 5 6 7
Frequency 4 6 8 4 10 6 2

Calculate the mean deviation for the distribution

A

4.32

B

2.81

C

1.51

D

3.90

correct option: c
Score(x)1234567Total
Frequency (f)4684106240
fx4122416503614156
x - \(\bar{x}\)-2.9-1.9-0.90.11.12.13.1 
|x - \(\bar{x}\)|2.91.90.90.11.12.13.1 
f|x - \(\bar{x}\)|11.611.47.20.41112.66.260.4

the mean = \(\frac{\sum fx}{\sum f}\)

= \(\frac{156}{40}\)

= 3.9

M.D = \(\frac{\sum f|x - \bar{x}|}{\sum f}\)

= \(\frac{60.4}{40}\)

= 1.51

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