Vardaan Learning Institute

1. 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. If 20 people liked classical music, how many young people were surveyed?
(Assume a Pie Chart where Classical is 10%, Semi-classical 20%, Light 40%, Folk 30%)

2. The number of hours for which students of a particular class watched television during holidays is shown through the given graph. Answer the following:
For how many hours did the maximum number of students watch TV?

3. A bag has 4 red balls and 2 yellow balls. (The balls are identical in all respects other than colour). A ball is drawn from the bag without looking into the bag. What is probability of getting a red ball? Is it more or less than getting a yellow ball?

4. When a die is thrown, list the outcomes of an event of getting:
(a) a prime number
(b) not a prime number

5. The shopper who come to a departmental store are marked as: Man (M), Woman (W), Boy (B) or Girl (G). The following list gives the shoppers who came during the first hour in the morning:
W W W G B W W M G G M M W W W W G B M W B G G M W W M M W W W M W B W G M W W W W G W M M W W Q W
Make a frequency distribution table using tally marks.

6. The weekly wages (in ₹) of 30 workers in a factory are:
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840.
Using tally marks make a frequency table with intervals as 800-810, 810-820 and so on.

7. Draw a histogram for the frequency table made for the data in Question 6, and answer the following questions:
(i) Which group has the maximum number of workers?
(ii) How many workers earn ₹850 or more?
(iii) How many workers earn less than ₹850?

8. On a particular day, the sales (in rupees) of different items of a baker’s shop are given below:
Ordinary bread: 320, Fruit bread: 80, Cakes and pastries: 160, Biscuits: 120, Others: 40. Total: 720.
Draw a pie chart for this data.

9. The following data gives the number of students in a hostel, speaking different languages:
Hindi: 40, English: 12, Marathi: 9, Tamil: 7, Bengali: 4. Total: 72.
Display the data in a pie chart.

10. 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:
(i) getting a number 6?
(ii) getting a number less than 6?
(iii) getting a number greater than 6?
(iv) getting a 1-digit number?

11. Explain why a rectangle is called a convex quadrilateral but a concave polygon is not. Also, draw a histogram representing the number of sides of polygons where Frequency is: Triangle (3), Quadrilateral (4), Pentagon (5), Hexagon (6) – with values 10, 25, 15, 5 respectively.

12. Given a deck of 52 playing cards. Proved outcomes are equally likely. Find the probability of:
(i) getting an ace.
(ii) getting a red card.
(iii) getting a face card (K, Q, J).
(iv) getting a 10 of spades.

13. The following table shows the number of people preferring different food items:
North Indian: 30, South Indian: 40, Chinese: 25, Others: 25. Total 120.
Construct a Pie Chart. What represents the central angle for South Indian food?

14. For the below data, construct a grouped frequency distribution table:
2, 3, 4, 3, 2, 5, 1, 2, 3, 4, 2, 1, 3, 5, 3, 2, 2, 3, 1, 5, 2, 1, 5, 3, 2.
Find the mean of the data.

15. Look at the histogram below (imaginary graphic). Range 0-10 (freq 5), 10-20 (freq 10), 20-30 (freq 15), 30-40 (freq 8).
Identify the class interval with the highest frequency. What is the size of the class intervals?