If the median of data Carranged in acending order 31, 33, 35,Xxx Mo,
48, 48, 50 is 40 then find value of
X

35

Step-by-step explanation:

If the median of data (arranged in ascending order) 31,33,35,x,x+10,48,48,50 is 40,then find value of x.

Solution:

The median of a data is the middle number after the numbers from the data have been arranged either from least to greatest or from greatest to least. For an even number of data, the median is the average of the middle two numbers.

The data arranged in ascending order is:

31,33,35,x,x+10,48,48,50

SInce the data has an even number (8), the median is the average of the middle two numbers.

Median = average of x and x + 10

[x + (x + 10)] / 2 = median

[x + (x + 10)] / 2 = 40

x + x + 10 = 80

2x + 10 = 80

2x = 70

x = 70/2

x = 35