Advertisement Remove all ads

# If the Median of the Data: 24, 25, 26, X + 2, X + 3, 30, 31, 34 is 27.5, Then X = - Mathematics

MCQ

If the median of the data: 24, 25, 26, x + 2, x + 3, 30, 31, 34 is 27.5, then x =

#### Options

• 27

• 25

• 28

• 30

Advertisement Remove all ads

#### Solution

The given observations are 24, 25, 26, x + 2, x + 3, 30, 31, 34.

Median = 27.5

Here, n = 8

Median =((n/2)^(th) "term" + (n/2 +1)^(th) "term")/2

27.5 = (4th  "term" +5th  "term")/2

27.5 = ((x +2) +(x + 3))/2

27.5 = (2x +5)/2

2x +5 =  55

2x = 50

X = 25

Hence, the correct option is (b).

Is there an error in this question or solution?
Advertisement Remove all ads

#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Q 15 | Page 67
Advertisement Remove all ads

#### Video TutorialsVIEW ALL [4]

Advertisement Remove all ads
Share
Notifications

View all notifications

Forgot password?
Course