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सी.आई.एस.सी.ई.आयसीएसई ICSE Class 6

Find the Median of 80, 48, 66, 61, 75, 52, 45 and 70 - Mathematics

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प्रश्न

Find the median of 80, 48, 66, 61, 75, 52, 45 and 70

बेरीज

उत्तर

Arranging in ascending order, we get

45, 48, 52, 61, 66, 70, 75, 80

Here, number of terms = 8 which is even

`= 1/2 {"n"/2 "th term" + ("n"/2 + 1)"th term"}`

`= 1/2 {8/2 "th term" + (8/2 + 1)"th term"}`

`= 1/2` {4th term + 5th term}

`= 1/2 {61 + 66}`

`= 1/2 xx 127 = 63.5`

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 34: Mean and Median - Exercise 34 (B)

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सेलिना Mathematics [English] Class 6
पाठ 34 Mean and Median
Exercise 34 (B) | Q 1.5

संबंधित प्रश्‍न

If the mean of the following distribution is 24, find the value of 'a '.

Marks 0-10 10-20 20-30 30-40 40-50
Number of
students
7 a 8 10 5

By drawing an ogive, estimate the median for the following frequency distribution: 

Weight (kg) 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35
No. of boys 11 25 12 5 2

A boy scored following marks in various class tests during a term; each test being marked out of 20.

15, 17, 16, 7, 10, 12, 14, 16, 19, 12 and 16 

What are his modal marks? 


Draw an ogive for the data given below and from the graph determine:  

  1. the median marks
  2. the number of students who obtained more than 75% marks 
Marks   No. of students
0 – 9 5
10 – 19 9
20 – 29 16
30 – 39 22
40 – 49 26
50 – 59 18
60 – 69 11
70 – 79 6
80 – 89 4
90 – 99 3

The marks obtained by 120 students in a mathematics test is given below: 

Marks  No. of students 
0 – 10 5
10 – 20 9
20 – 30 16
30 – 40 22
40 – 50 26
50 – 60 18
60 – 70 11
70 – 80 6
80 – 90 4
90 – 100 3

Draw an ogive for the given distributions on a graph sheet. Use a suitable scale for your ogive. Use your ogive to estimate:

  1. the median
  2. the number of student who obtained more than 75% in test.
  3. the number of students who did not pass in the test if the pass percentage was 40.
  4. the lower quartile.

The data on the number of patients attending a hospital in a month are given below. Find the average (mean) number of patients attending the hospital in a month by using the shortcut method.  Take the assumed mean as 45. Give your answer correct to 2 decimal places.

Number of patients 10 -  20 20 - 30 30 - 40 40 - 50 50 - 60 60 -  70
Number of Days 5 2 7 9 2 5

Find the median of the following: 

 11, 8, 15, 5, 9, 4, 19, 6, 18 


The following data has been arranged in ascending order.
0, 1, 2, 3, x + 1, x + 5, 20, 21, 26, 29.
Find the value of x, if the median is 5.


A boy scored the following marks in various class tests during a term, each test being marked out of 20.
15, 17, 16, 7, 10, 12, 14, 16, 19, 12, 16
What is his median marks?


The marks in a subject for 12 students are as follows:

31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29

For the given data, find the median


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