TS EAMCET · Maths · Statistics
If \(M_1\) is the mean deviation from the mean of the discrete data \(44,5,27,20,8,54,9,14,35\) and \(M_2\) is the mean deviation from the median of the same data, then \(M_1-M_2=\)
- A \(\frac{7}{9}\)
- B \(\frac{2}{3}\)
- C \(\frac{5}{9}\)
- D \(\frac{4}{9}\)
Answer & Solution
Correct Answer
(D) \(\frac{4}{9}\)
Step-by-step Solution
Detailed explanation
Arrange the data in ascending order, \(5,8,9,14,20,27,35,44,54\) (ungrouped data) Mean \(_3-\vec{x}=\frac{216}{9}=24\). Mean deviation about mean, i.e. \(M_1=\frac{\Sigma\left|x_1-\bar{x}\right|}{N}\)…
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