JEE Mains · Maths · STD 11 - 13. statistics
The mean deviation about the mean for the data
| \(x_i\) | \(5\) | \(7\) | \(9\) | \(10\) | \(12\) | \(15\) |
| \(f_i\) | \(8\) | \(6\) | \(2\) | \(2\) | \(2\) | \(6\) |
- A \(\dfrac{40}{13}\)
- B \(\dfrac{42}{13}\)
- C \(\dfrac{44}{13}\)
- D \(\dfrac{46}{13}\)
Answer & Solution
Correct Answer
(C) \(\dfrac{44}{13}\)
Step-by-step Solution
Detailed explanation
Mean \(\bar{x} = \dfrac{\sum f_i x_i}{\sum f_i}\) \(\sum f_i = 8 + 6 + 2 + 2 + 2 + 6 = 26\) \(\sum f_i x_i = 8(5) + 6(7) + 2(9) + 2(10) + 2(12) + 6(15)\) \(\sum f_i x_i = 40 + 42 + 18 + 20 + 24 + 90 = 234\) \(\bar{x} = \dfrac{234}{26} = 9\) Mean deviation about mean…
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