The scores of a student in six subjects are 22, 16, 25, 7, 13, 6. Find the mean score using step deviation method taking 16 as the assumed mean.

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14.5

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16.5

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Solution

The correct option is D 16.5
Number of observations, N = 6
Choose 16 as the assumed mean i.e. A=16

$\begin{matrix} S c o r e & D e v i a t i o n & D (X) & (X - A) & (\frac{X - A}{3}) 22 & 6 & 2 16 & 0 & 0 25 & 9 & 3 7 & - 9 & - 3 13 & - 3 & - 1 16 & 0 & 0 \sum D = 1 \end{matrix}$

$M e a n = A + \frac{\sum D}{N} \times C = 16 + \frac{1}{6} \times 3 = 16.5$

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The scores of a student in six subjects are 22, 16, 25, 7, 13, 6. Find the mean score using step deviation method taking 16 as the assumed mean.

The correct option is D 16.5Number of observations, N = 6 Choose 16 as the assumed mean i.e. A=16 ScoreDeviationD(X)(X−A)(X−A3)2262160025937−9−313−3−11600∑D=1 Mean=A+∑DN×C=16+16×3=16.5