NCERT Solutions for Chapter: Data Handling, Exercise 1: Exercise

If a dice is rolled, then find the probability of getting a composite number.

The following steps are involved in solving the above problem. Arrange them in sequential order

(A) The possible composite numbers when a dice is rolled are $4$ and $6$. When a dice is rolled, the possible outcomes are $1, 2, 3, 4, 5, 6$

(B) The required probability $=\frac{1}{3}$

(C) The probability of getting a composite number $=\frac{\mathrm{Number} \mathrm{of} \mathrm{favourable} \mathrm{outcomes}}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{outcomes}}$$=\frac{2}{6}$

In a cards game, there are ten cards, $1$ to $10$. Two players, seated facing each other, randomly choose $5$ cards each. They arrange their cards in ascending order of the number on the card as shown below.

The difference between the corresponding cards is calculated such that the lower value is subtracted from the higher value.

In a random game, what is the probability that the sum of the differences is $24$?

List all the possible outcomes of tossing three coins together.

For an unbiased coin, the probability of getting a tail is $\frac{1}{2}$

Record the weights of $7$ candidates of the class and represent this information with the help of a bar graph.

In a box, there are $20$ marbles. Each marble is marked with a distinct number from $1$ to $20$. Find the probability of drawing a marble from the box which is marked with a number that is perfect square.

In a pie-chart, find the central angle of a component, which is $30\%$ in the total value of all the components

A business concern spends its expenses under various heads as under.

Salary for employees - $₹200$ (thousand)

Travelling for purchases - $₹80$ (thousand)

Equipments -$₹100$ (thousand)

Rent for the premises - $₹70$ (thousand)

Cost of raw materials - $₹150$ (thousand)

Transportation of finished products - $₹100$ (thousand)

Miscellaneous - $₹20$ (thousand)

Draw a pie graph depicting the above data.