Q76 / 160 · TS EAMCET 2020 (14 Sep Shift 2) · Mathematics
For the following distribution, the mean deviation about the median is
- A8.0
- Correct answerB7.5
- C7.2
- D7.0
Solution
Given data,
$\begin{aligned} \therefore \quad \text { Median } & =\frac{(34 \text { th }+35 \text { th }) \text { observation }}{2} \\ & =\frac{24+24}{2}=24 \\ \operatorname{MD}(\text { Median }) & =\frac{\Sigma f_i\left(x_i-\text { Median }\right)}{\Sigma f_i}=\frac{510}{68}=7.5\end{aligned}$
$\begin{aligned} \therefore \quad \text { Median } & =\frac{(34 \text { th }+35 \text { th }) \text { observation }}{2} \\ & =\frac{24+24}{2}=24 \\ \operatorname{MD}(\text { Median }) & =\frac{\Sigma f_i\left(x_i-\text { Median }\right)}{\Sigma f_i}=\frac{510}{68}=7.5\end{aligned}$
Hence, the correct answer is option: 'B'.