This table below 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

4.32

2.81

1.51

3.90

Correct answer is C

Score(x) 1 2 3 4 5 6 7 Total Frequency (f) 4 6 8 4 10 6 2 40 fx 4 12 24 16 50 36 14 156 x - \(\bar{x}\) -2.9 -1.9 -0.9 0.1 1.1 2.1 3.1 |x - \(\bar{x}\)| 2.9 1.9 0.9 0.1 1.1 2.1 3.1 f|x - \(\bar{x}\)| 11.6 11.4 7.2 0.4 11 12.6 6.2 60.4

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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This table below 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

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This table below 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