Share
Notifications

View all notifications
Advertisement

The Mean of Following Numbers is 68. Find the Value of ‘X’. 45, 52, 60, X, 69, 70, 26, 81 and 94 Hence Estimate the Median. - Mathematics

Login
Create free account


      Forgot password?

Question

The mean of following numbers is 68. Find the value of ‘x’.

45, 52, 60, x, 69, 70, 26, 81 and 94

Hence estimate the median.

Solution

Mean = `"Sum of all observations"/"Total number of observations"`

`:. 68 = (45+52+60 + x + 69 + 70 + 26 + 81 + 94)/9`

`=> 68 = (497 + x)/9`

⇒ 612= 497+ x

⇒ x = 612 - 497

⇒ x = 115

Data in ascending order

26, 45, 52, 60, 69, 70, 81, 94, 115

Since the number of observations is odd, the median is the `((n+1)/2)^"th"`observation

⇒ Median = `((9+1)/2)^"th"` observation =5th observation.

Hence, the median is 69

  Is there an error in this question or solution?
Advertisement

APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 24: Measure of Central Tendency(Mean, Median, Quartiles and Mode)
Exercise 24(E) | Q: 20 | Page no. 377
 2015-2016 (March) (with solutions)
Question 1.3 | 3.00 marks
Advertisement
Solution The Mean of Following Numbers is 68. Find the Value of ‘X’. 45, 52, 60, X, 69, 70, 26, 81 and 94 Hence Estimate the Median. Concept: Median of Grouped Data.
Advertisement
View in app×