NCERT solutions for Mathematics [English] Class 8 chapter 4 - Data Handling [Latest edition]

A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey.

From this pie chart answer the following:

1. If 20 people liked classical music, how many young people were surveyed?
2. Which type of music is liked by the maximum number of people?
3. If a cassette company were to make 1000 CD’s, how many of each type would they make?

A group of 360 people were asked to vote for their favourite season from the three seasons rainy, winter and summer.

1. Which season got the most votes?
2. Find the central angle of each sector.
3. Draw a pie chart to show this information.

Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.

Find the proportion of each sector. For example, blue is `18/36 = 1.2` ; green is `9/36 = 1/4` and so on. Use this to find the corresponding angles.

The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions.

1. In which subject did the student score 105 marks?
   (Hint: For 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?)
2. How many more marks were obtained by the student in Mathematics than in Hindi?
3. Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
   (Hint: Just study the central angles)

The number of students in a hostel speaking different languages is given below. Display the data in a pie chart.

List the outcomes you can see in this experiment.

Spinning a wheel

List the outcomes you can see in this experiment.

Tossing two coins together

When a die is thrown, list the outcomes of an event of getting a prime number.

When a die is thrown, list the outcome of an event of getting not a prime number.

When a die is thrown, list the outcome of an event of getting a number greater than 5.

When a die is thrown, list the outcome of an event of getting a number not greater than 5.

Find the probability of the pointer stopping on D.

Find the probability of getting an ace from a well shuffled deck of 52 playing cards.

Find the probability of getting a red apple.

Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of.

1. Getting a number 6?
2. Getting a number less than 6?
3. Getting a number greater than 6?
4. Getting a 1-digit number?

If you have a spinning wheel with 3 green sectors, 1 blue sector and 1 red sector, what is the probability of getting a green sector? What is the probability of getting a non blue sector?

Find the probabilities of the events given in Question 2.