TS EAMCET · Maths · Statistics
The mean deviation from the median for the following data is
| \(x_i\) | 2 | 9 | 8 | 3 | 5 | 7 |
|---|---|---|---|---|---|---|
| \(f_i\) | 5 | 3 | 1 | 6 | 6 | 1 |
- A \(2\)
- B \(\frac{8}{3}\)
- C \(\frac{9}{2}\)
- D \(9\)
Answer & Solution
Correct Answer
(A) \(2\)
Step-by-step Solution
Detailed explanation
Data sorted: \(x_i\): 2, 3, 5, 7, 8, 9; \(f_i\): 5, 6, 6, 1, 1, 3 \(\sum f_i = N = 22\) Cumulative frequencies (cf): 5, 11, 17, 18, 19, 22 Median position \(= N/2 = 11\) Median \((M) = 3\) \(\sum f_i |x_i - M| = 5|2-3| + 6|3-3| + 6|5-3| + 1|7-3| + 1|8-3| + 3|9-3|\)…
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