Question

The following observations have been arranged in ascending order. If the median of the data is 61, find the value of x. 29, 32, 48, 50, x, x+2, 72, 78, 84, 95 ​

Answer 1

Answer:

IN THIS QUESTION x,x+2 BOTH ARE MEDIAN

SO, x+x+2=61

2x=61-2=59

x=59/2

Answer 2

Answer:

59

Step-by-step explanation:

n (no. of values ) = 10 which is even

means medians formula for n= even is

= [ ( n/2 )th obv. + ( n/2 + 1)th obv.] / 2

now [ ( 10/2 )th obv. + ( 10/2 + 1)th obv. /2

= [ 5 + 6 ]th obv. / 2

11 th obv / 2

now given median is 61 , soo

[11 / 2] th obv. = 61

5.5 th obv. ( which is x + 2 ) = 61

now x + 2 = 61

therefore x = 61 -2

x = 59