S.chand Composite maths books class 8 maths solution chapter 28 Data Handling exercise 28 C

EXERCISE 28 C

Find the median of the following.

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Q1 | Ex-28C | Class 8 | SChand Composite Maths | Data Handling | myhelper

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Question 1

7,32,15,28,43,29

Sol : 

First arrange the numbers

7,15,28,29,32,43

Here, median=mean of middle numbers

$=\dfrac{28+29}{2}=28.5$

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Q2 | Ex-28C | Class 8 | SChand Composite Maths | Data Handling | myhelper

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Question 2

22,22,38,73,42,64,28,54

Sol :

Arrange the number (in ascending or descending)

22,28,38,42,54,64,73

Here, median=mean of 38 and 42

$\dfrac{38+42}{2}=\dfrac{80}{2}$

= 40

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Q3 | Ex-28C | Class 8 | SChand Composite Maths | Data Handling | myhelper

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Question 3

What is the median score achieved by a student who recorded the following scores on 10 math quizzes ?

68,55,70,62,71,58,81,82,63,79

Sol :

Arrange numbers

55,58,62,63,68,70,71,79,81,82

Here, median=mean of middle numbers

$=\dfrac{68+70}{2}=69$

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Q4 | Ex-28C | Class 8 | SChand Composite Maths | Data Handling | myhelper

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Question 4

Determine the mode(s) for each of the following sets of data

Mode : The most frequent number—that is, the number that occurs the highest number of times
(i) 2,8,7,3,2,7,6,7

Sol : 7

(ii) 14,16,18,14,10,14,16,12,16,10

Sol : 14 and 16

(iii) 21,38,80,26,55,80,53,68,80,51

Sol : 80

(iv) 26,32,26,21,83,26,83,67,53,83,85

Sol : 26 and 83

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Q5 | Ex-28C | Class 8 | SChand Composite Maths | Data Handling | myhelper

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Question 5

Find the mode of the following distributions

Size of shoes	6	7	8	9	10
Frequency	10	20	25	8	7

Sol :

= 8

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Question 6

Determine (a) the mode (b) the median , and (c) the mean for each of the following sets of data:
(i) 4,4,8,11,12,16,22

Sol :

(a) mode : 4

(b) 

Arrange the numbers,

4,4,8,11,12,16,22

Here, median : 11

(c) mean : $\dfrac{4+4+8+11+12+16+22}{7}=\frac{77}{7}=11$

(ii) 68.4,65.7,68.9,79.5,52.5

Sol :

(a) no mode (no value repeat more than once)

(b) median : 68.9

(c) mean : $\dfrac{68.4+65.7+68.9+79.5+52.5}{5}=\dfrac{335}{5}=67$

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Q7 | Ex-28C | Class 8 | SChand Composite Maths | Data Handling | myhelper

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Question 7

Find the mode , and the mean of the following set. Number of hours of opening life of 23 flashlight batteries:
20,21,19,22,18,23,25,22,23,20,22,21,24,21,22,23,19,21,22,22,24,26,22

Sol :

mode : 22; 

mean : $\dfrac{20+21+19+22+18+23+25+22+23+20+22+21+24+21+22+23+19+21+22+22+24+26+22}{23}=\dfrac{502}{23}=21.8$