1.

The median of the observations 11, 12, 14, (x-2), (x+4), (x+9), 32, 38, 47 arranged in ascending order is 24. Find the value of x and hence find the mean​

Answer»

Answer:

Here  \: number  \: of \:  terms \:  is  \: 9. \\ so \:  median =  \frac{n + 1}{2} th \: observation \\ <klux>24</klux> =  \frac{9 + 1}{2} th \: observation \\ 24 = 5th \: observation \\ x + 4 = 24 \\ x = 20.

So observation becomes : 11, 12, 14, 18, 24, 29, 32, 38, 47.

mean \:  =  \frac{sum \: of \: observations}{number \: of \: observations}  \\  =  \frac{225}{9}  \\  = 25



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