Mean and Median ICSE Class-6th Concise Selina Maths

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Mean and Median ICSE Class-6th Concise Selina Mathematics Solutions Chapter-34 . We provide step by step Solutions of Exercise / lesson-34 Mean and Median for ICSE Class-6 Concise Selina Mathematics.

Our Solutions contain all type Questions of Exe-34 A and Exe-34 B  with Notes on “Mean and Median to develop skill and confidence. Visit official Website CISCE for detail information about  ICSE  Board Class-6 Mathematics .

Mean and Median ICSE Class-6th Concise Selina  Mathematics Solutions Chapter-34


–: Select Topics :–

Notes on Mean and Median 

Exe-34 A,

 Exe-34 B,


What is Mean ?

The Mean and  Median  are the arithmetic average of a data set. This is found by adding the numbers in a data set and dividing by how many numbers there are.

Mean Formula

Mean  =  Sum of All observations / Number of observations

What is median

The median of a set of data is the middlemost number in the set. The median is also the number that is halfway into the set. To find the median, the data should first be arranged in order from least to greatest. A median is a number that is separated by the higher half of a data sample, a population or a probability distribution, from the lower half.

The formula to calculate the median 

If the total number of observation given is odd, then the formula to calculate the median is:

Median = {(n+1)/2}thterm

If the total number of observation is even, then the median formula is:

Median  = [(n/2)th term + {(n/2)+1}th]/2

To find the median, place all the numbers in value order and find the middle.


 

Exercise – 34 A Mean and Median for ICSE Class-6th Concise Selina Mathematics 

Question- 1.

Find the mean of :
(i) 7,10, 4 and 17
(ii) 12, 9, 6,11 and 17
(iii) 3, 1, 5, 4, 4 and 7
(iv) 7, 5, 0, 3, 0, 6, 0, 9, 1 and 4
(v) 2.1, 4.5, 5.2, 7.1 and 9.3
(vi) 5, 2.4, 6.2, 8.9, 4.1 and 3.4
Answer-1:

We know that

mean formula

(i)

mean formula

Exercise - 34 A Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-1.1

(ii)

mean formula

Exercise - 34 A Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-1.2

(iii)

mean formula

(iv)

mean formula

x

(v)

mean formula

(vi)

mean formula

Question -2.

Find the mean of :
(i) first eight natural numbers
(ii) first six even natural numbers
(iii) first five odd natural numbers
(iv) all prime numbers up to 30
(v) all prime numbers between 20 and 40.
Answer-2:

(i) first eight natural numbers

= 1, 2, 3, 4, 5, 6, 7, 8

mean formula

Exercise - 34 A Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-2.1

(ii) first six even natural numbers

= 2, 4, 6, 8, 10, 12

mean formula

Exercise - 34 A Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-2.2

(iii) first five odd natural numbers

= 1, 3, 5, 7, 9

mean formula

Exercise - 34 A Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-2.3

(iv) all prime numbers up to 30

mean formula

Exercise - 34 A Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-2.4

(v) all prime numbers between 20 and 40.

mean formula

Exercise - 34 A Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-2.5
Question- 3.

Height (in cm) of 7 boys of a locality are 144 cm, 155 cm, 168 cm, 163 cm, 167 cm, 151 cm and 158 cm. Find their mean height.
Answer-3:

Sum of the values = Sum of heights

= 144 cm + 155 cm + 168 cm + 163 cm + 167 cm + 151 cm + 158 cm = 1106 cm and

Number of values = Number of boys = 7

mean formula

= 11067 

=158 cm

Question -4.

Find the mean of 35, 44, 31, 57, 38, 29, 26,36, 41 and 43.
Answer-4:

Sum of the values = 35 + 44 + 31 + 57 + 38 + 29 + 26 + 36 + 41 + 43 = 380

and Number of values = 10

mean formula

38010 

= 38

Question-5

The mean of 18, 28, x, 32, 14 and 36 is 23. Find the value of x.

Answer-5:

Mean = 23

Number of observation= 6

Value of x = ?

mean formula

Exercise - 34 A Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-5

23 x 6 = 128 + x

138 = 128 + x

138-128 = x

x = 10

Question -6.

If the mean of x, x + 2, x + 4, x + 6 and x + 8 is 13, find the value of x.
Answer-6:

Mean = 13

Number of observation= 5

Value of x = ?

mean formula

Exercise - 34 A Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-6

5x + 20 = 13 x 5

5x + 20 = 65

5x      =  65 – 20

x  =     455

x = 9


Selina Solutions , Mean and Median Exe-34 B for ICSE Class-6th Concise  Mathematics 

Question -1.

Find the median of
(i) 21, 21, 22, 23, 23, 24, 24, 24, 24, 25 and 25
(ii) 3.2, 4.8, 5.6, 5.6, 7.3, 8.9 and 91
(iii) 17, 23, 36, 12, 18, 23, 40 and 20
(iv) 26, 33, 41, 18, 30, 22, 36, 45 and 24
(v) 80, 48, 66, 61, 75, 52, 45 and 70
Answer-1

(i) Given data = 21, 21, 22, 23, 23, 24, 24, 24, 24, 25 and 25

Clearly, middle term is 24.

∴ Median = 24

(ii) Given data = 3.2, 4.8, 5.6, 5.6, 7.3, 8.9 and 9.1

Clearly, middle term is 5.6.

∴ Median = 5.6

(iii) Arranging in ascending order, we get

12, 17, 18, 20, 23, 23, 36, 40

Here, number of terms = 8 which is even

(iv) 

Median  = [(n/2)th term + {(n/2)+1}th]/2

Exercise - 34 B Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-1.4

(v) Arranging in ascending order, we get

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

Here, number of terms = 8 which is even

Median  = [(n/2)th term + {(n/2)+1}th]/2
Exercise - 34 B Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-1.5

Question -2.

Find the mean and the median of :
(i) 1,3,4, 5, 9, 9 and 11
(ii) 10,12, 12, 15, 15, 17, 18, 18, 18 and 19
(iii) 2, 4, 5, 8, 10,13 and 14
(iv) 5, 8, 10, 11,13, 16, 19 and 20
(v) 1.2, 1.9, 2.2, 2.6 and 2.9
(vi) 0.5, 5.6, 3.8, 4.9, 2.7 and 4.4.
Answer-2
(i) 1,3,4, 5, 9, 9 and 11

Arranging data = 1, 3, 4, 5, 9, 9 and 11

Clearly middle term = 5

∴ Median = 5

mean formula

Exercise - 34 B Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-2.1

= ..427..= 6………..

mean = 6
(ii) 10,12, 12, 15, 15, 17, 18, 18, 18 and 19

Arranging data: 10,12, 12, 15, 15, 17, 18, 18, 18 and 19

Here, number of terms = 10 which is even

Median  = [(n/2)th term + {(n/2)+1}th]/2

Exercise - 34 B Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-2.2

= 12. x 32

= 16

now mean

mean formula

Exercise - 34 B Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-2.2 part 2nd

= 15410. = 15.4

(iii) 2, 4, 5, 8, 10,13 and 14

Arranging data = 2, 4, 5, 8, 10, 13 and 14

Clearly, middle term is 8

∴ Median = 8

mean formula

Exercise - 34 B Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-2.3

567. = 8

(iv) 5, 8, 10, 11,13, 16, 19 and 20

Arranging data: 5, 8, 10, 11,13, 16, 19 and 20

Here, number of data = 8 which is even

Median  = [(n/2)th term + {(n/2)+1}th]/2

Exercise - 34 B Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-4

12. x 24

=1 2

mean formula

Exercise - 34 B Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-4 part 2

1028. = 17.75

(v) 1.2, 1.9, 2.2, 2.6 and 2.9

Given data = 1.2, 1.9, 2.2, 2.6 and 2.9

Clearly, middle term is 2.2

∴ Median = 2.2

mean formula

Exercise - 34 B Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-5

(vi) 0.5, 5.6, 3.8, 4.9, 2.7 and 4.4.

Arranging in ascending order, we get

0.5, 2.7, 3.8, 4.4, 4.9, 5.6

Here, number of terms(n) = 6 which is even

Median  = [(n/2)th term + {(n/2)+1}th]/2
Exercise - 34 B Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-6

mean formula

Exercise - 34 B Mean and Median for ICSE Class-6th Concise Selina Mathematics Ans-2.6

21.96 = 3.65

–: End of Mean and Median ICSE Class-6th Solutions :–

Return to – Concise Selina Maths Solutions for ICSE Class -6

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