English

Find the Median of the Following: 3x, X+5, X+7, X+9, X+11, X+13 - Mathematics

Advertisements
Advertisements

Question

Find the median of the following: 

3x, x+5, x+7, x+9, x+11, x+13 

Sum

Solution

3x, x+ 5, x+7, x+9, x+11, x+13 

Arranging the given data in descending order: 

x +13, x+ 11, x+9, x+7, x+5, 3x 

The middle terms are x +9 and x+7 which are 3rd and 4th terms 

median = `(x+9+x+ 7 )/2 = (2x+16 )/2 = x + 8`

Therefore, Median = x+8. 

shaalaa.com
  Is there an error in this question or solution?
Chapter 24: Measures Of Central Tendency - Exercise

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 24 Measures Of Central Tendency
Exercise | Q 5.03

RELATED QUESTIONS

The marks of 10 students of a class in an examination arranged in ascending order is as follows:

13, 35, 43, 46, x, x + 4, 55, 61, 71, 80

If the median marks is 48, find the value of x. Hence, find the mode of the given data.


Find the mean of the following set of numbers: 

11, 14, 23, 26, 10, 12, 18 and 6


The mean of the number 6, ‘y’, 7, ‘x’ and 14 is 8. Express ‘y’ in terms of ‘x’. 


The following table gives the age of 50 student of a class. Find the arithmetic mean of their ages. 

Age-years 16 – 18 18 – 20 20 – 22 22 – 24 24 – 26
No. of students  2 7 21 17 3

Find the mode of the following data:

7, 9, 8, 7, 7, 6, 8, 10, 7 and 6


The following table given the weekly of workers in a factory: 

Weekly wages (in Rs)  No.of workers 
50-55 5
55-60 20
60-65 10
65-70 10
70-75 9
75-80 6
80-85 12
85-90 8

Calcculate: (1)the mean, (2) the model class, (3) th number of workers getting weekly qages below Rs. 80 and (4) the number of workers getting Rs. 65 or more but less than Rs.85 as weekly wages.


The percentage marks obtained in 10 subjects by a student are 84, 88, 72, 91, 68, 75, 98, 96, 79 and 86. Find the median of the marks obtained. 


Find the median of the following sets of numbers.
25, 11, 15, 10, 17, 6, 5, 12.


Find the median of the data: 24, 36, 46, 17, 18, 25, 35


A researcher studying the behavior of mice has recorded the time (in seconds) taken by each mouse to locate its food by considering 13 different mice as 31, 33, 63, 33, 28, 29, 33, 27, 27, 34, 35, 28, 32. Find the median time that mice spent in searching its food.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×