NCERT Solutions for Class 7 Maths Chapter 3 Data Handling

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Q.1: Find the mean of your sleeping hours during one week.

Ans : DIY 

Q.2: Find at least 5 numbers between \(\frac { 1 } { 2 }\)and \(\frac { 1 } { 3 }\).

Ans : Missing 

Q.3: Find the range of heights of any ten students of your class.

Ans : Let the heights (in cm) of 10 students of our class be 125, 127, 132, 133, 134, 136,138, 141, 144, 146 
Highest value among these observations = 146 
Lowest value among these observations = 125 
Range = Highest value - Lowest value  
= (146 - 125) cm 
= 21 cm 

Q.4: Organise the following marks in a class assessment, in a tabular form. 
 4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7 
(i) Which number is the highest? 
(ii) Which number is the lowest? 
(iii) What is the range of the data? 
(iv) Find the arithmetic mean.

Ans : 
(i) Highest number = 9  
(ii) Lowest number = 1 
(iii) Range = (9 - 1) = 8 
(iv) Sum of all the observations = 4 + 6 + 7 + 5 + 3 + 5 + 4 + 5 + 2 + 6 + 2 +5 + 1 + 9 + 6 + 5 + 8 + 4 + 6 + 7 = 100 
Total number of observations = 20 
Arithmetic mean \( =\frac{\text { Sum of all the observations }}{\text { Total number of the observations }}=\frac{100}{20}=5\) 

Q.5: Find the mean of the first five whole numbers.

Ans : First five whole numbers are 0, 1, 2, 3, and 4. 
Mean = \( \frac { 0 + 1 + 2 + 3 + 4 } { 5 } \) = \( \frac {10 } { 5 } \) = 2 
Therefore, the mean of first five whole numbers is 2. 

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