DAV Class 7 Maths Chapter 12 Value Based Questions
Data Handling Value Based Questions
1. A group of ten students visited a blind school. They wanted to help the school by donating some money. They donated ₹120, ₹125, ₹100, ₹50, ₹75, ₹100, ₹150, ₹100,₹ 75, ₹ 85 for this purpose.
(a) Calculate the mean, median and mode of the above data of donation.
\[ \begin{align*} \text{Ascending order} & = 50, 75, 75, 85, 100, 100, 100, 120, 125, 150 \\ \\ &\boxed{\color{green}\text{Mean} = \frac{\text{Sum of all observations}}{\text{Number of observations}}} \\ \\ & = \frac{50 + 75 + 75 + 85 + 100 + 100 + 100 + 120 + 125 + 150}{10} \\ \\ & = \frac{980}{10} \\ \\ \text{Mean} & = \boxed{\color{green}\text{₹} 98} \\ \\& \text{Number of observations:} \ 10 \text{ (even)} \\ \\ \text{Median} & = \left( \frac{\text{Sum of two middle most observation}}{2}\right) \\ \\ & = 50, 75, 75, 85, \boxed{\color{blue}100, 100}, 100, 120, 125, 150 \\ \\ & = \frac{100 + 100}{2} \\ \\ & = \frac{200}{2} \\ \\ \text{Median} & = \boxed{\color{green}\text{₹} 100} \\ \\\text{Mode} & = \text{Maximum times occuring data} \\ \\ \text{Mode} & = \boxed{\color{green}\text{₹} 100} \\ \\ \end{align*} \]
Answer Mean \( = \boxed{\color{red}\text{₹} 98} \) , Median \( = \boxed{\color{red}\text{₹} 100} \) , Mode \( = \boxed{\color{red}\text{₹} 100} \)
(b) What value of the students is depicted here?
Answer Caring and Helpful
2. A survey was conducted on the mode of transport used by 30 students of a Class-VI A for coming to school. It was found that 12 students came by school bus, 3 students by rickshaw, 2 by cycle, 8 by vans. Also 5 children did car pooling in Rahul's car.
(a) Draw a bar graph for the above data.
Answer
\[ \begin{align*} \text{School Bus} & =12 \\ \text{Rickshaw} & = 3 \\ \text{Cycle} & = 2 \\ \text{Vans} & = 8 \\ \text{Car pooling} & = 5 \\ \end{align*} \]
(b) Write one advantage of car pooling.
Answer We can save petrol/diesel.
(c) What value of the five children doing car pooling is depicted here?
Answer Caring for environment.