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NCERT Class XI Mathematics - Statistics - Solutions

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Question : 2 of 34
Marks: +1, -0
38, 70, 48, 40, 42, 55, 63, 46, 54, 44
Solution:  
Mean of the given data is
x−\overset{-}{x} =
38+70+48+42+55+63+46+54+4410\frac{38+70+48+42+55+63+46+54+44}{10}
= 50010\frac{500}{10} = 50
xix_i 38 7048404255 63 46 54 44Total
∣xi−50∣|x_i- 50|12 20 2 10 8513 4 4 6 84
∴ M.D. about mean = 1n∑i=1n∣xi−x−∣\frac{1}{n} \sum\limits_{i=1}^{n} \left|x_i-\overset{-}{x}\right| = 110×84=8.4\frac{1}{10} \times 84 = 8.4
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