Question

The median of the following data is 167. Find the values of x.

Answer 1

Median

Step-by-step explanation:

since , The data is not given  assuming the question be :

If median of 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 (arranged in ascending order) is 63, find x.

Number of terms n  = 10 (even)

for the even terms median = $\frac{\frac{n}{2}^t^hobservation +(\frac{n}{2}+1)^t^h observation }{2}$

Median = $\frac{5^t^hobservation +6^t^h observation }{2}$

i.e.

63 =  $\frac{x+x+2}{2}$

 2x + 2 = 126

 2x = 124

 x = 62

hence , the value of x is 62

similarly you can find the value of any  term in the data , if the median is given

#Learn more :

Calculate the estimate value of 167÷15​

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