## Selina Concise Mathematicsclass 6 ICSE Solutions – Mean and Median

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**EXERCISE 34 (A)**

**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:**

**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 upto 30**

**(v) all prime numbers between 20 and 40.**

**Answer:**

**(i)** The first eight natural numbers are 1, 2, 3, 4, 5, 6, 7, 8

∴Sum of these observations =1+2+3+4+5+6+7+8=36

and, number of their observations = 8

∴Required mean = = 4.5

**(ii)** The first six even natural numbers are 1 = 2, 4, 6, 8, 10, 12

∴Sum of these observations = 2, 4, 6, 8, 10, 12 = 42

and, number of their observations = 6

∴ Required mean = = 7

**(iii)** The first five odd natural numbers are = 1, 3, 5, 7, 9

∴Sum of these observations =1 + 3 + 5 + 7 + 9 = 25

and, number of their observations = 5

∴Required mean = = 5

**(iv)** The all prime numbers upto 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

∴Sum of these observations = 2 + 3 +5 + 7+ 11 + 13 + 17 + 19 + 23 +29 = 129

and, number of their observations = 10

∴Required mean = = 12-9

**(v)** All prime numbers between 20 and 40 are 23, 29, 31, 37

Sum of these observations = 23+29 + 31 + 37 = 120 .

and, number of their observations = 4

120

∴ Required mean = = 30

**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:**

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

**Question 4.**

**Find the mean of 35, 44, 31, 57, 38, 29, 26,36, 41 and 43.**

**Answer:**

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

and Number of values = 10

**Question 5.**

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

**Answer:**

**Question 6.**

**If the mean of x, x + 2, x + 4, x + 6 and x + 8 is 13, find the value of x. Sum of data**

**Answer:**

**EXERCISE 34 (B)**

**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**

**Solution:**

**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.**

**Solution:**

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