QJEEM24Ma9e32: JEE Main 2024 Mathematics - Class 11 JEEM24Ma9e32 Solution: Let the median and the mean deviation about the median of 7…

Question

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Let the median and the mean deviation about the median of 7 observation

170,125,230,190,210

, a, b be 170 and

\frac{205}{7}

respectively. Then the mean deviation about the mean of these 7 observations is :

Accepted Answer

Median = 170 \Rightarrow 125, a, b, 170, 190, 210, 230

Mean deviation about Median

=

\begin{aligned} \frac{0 + 45 + 60 + 20 + 40 + 170 - a + 170 - b}{7} = \frac{205}{7} \\ \Rightarrow a + b = 300 \\ Mean = \frac{170 + 125 + 230 + 190 + 210 + a + b}{7} = 175 \end{aligned}

Mean deviation About mean

=

\frac{50 + 175 - a + 175 - b + 5 + 15 + 35 + 55}{7} = 30

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