1) In a pictograph, each image of a book represents 5 books. If there are 8 images shown, how many books are there?

2) The number of hours spent by 10 students on homework each week is as follows:

3, 5, 7, 7, 8, 5, 6, 7, 5, 6

What is the mode of the data?

3) What type of data is collected directly from the source?

4) The number of books read by students in a month is:

1–3 books: 8 students, 4–6 books: 12 students,  7–9 books: 10 students, 10–12 books: 5 students

How many students read at most 6 books?

5) What is the difference between mean, median, and mode?

6) A bag contains 5 red, 3 blue, and 2 green marbles. One marble is drawn at random. What is the probability that it is not blue?

7) A histogram displays student scores grouped as:

0–10: 2 students, 10–20: 5 students, 20–30: 7 students, 30–40: 4 students, 40–50: 2 students

Which class interval has the maximum number of students, and what is the range of the data?

8) The following data shows the number of hours worked by a group of employees in a week:

25, 30, 40, 45, 50, 55, 60, 65, 70, 75

Find the range of the number of hours worked.

9) The number of girls and boys who participated in various sports is shown:

Football: Girls – 25, Boys – 40 – Basketball: Girls – 30, Boys – 35 – Tennis: Girls – 15, Boys – 20 – Badminton: Girls – 20, Boys – 25

Which sport had the least difference in participation between girls and boys?

10) The following data shows the cumulative frequency distribution of the number of students in a school based on their heights (in cm):

Height (cm): 140–150 (4 students), 150–160 (8 students), 160–170 (10 students), 170–180 (6 students)

Find the median height of the students.

11) Two coins are tossed simultaneously. What is the probability of getting at least one head?

12) What does a rising line in a line graph usually represent?

13) A class has the following distribution of grades in a test:

Grade A – 10 students, Grade B – 12, Grade C – 8, Grade D – 6, Grade F – 4

Find the ratio of students who scored B or higher to those who scored below B.

14) A pie chart shows expenses of a school in the ratio: Salaries: Infrastructure: Sports: Misc = 4:2:1:3 If the total expenditure is ₹4,00,000, how much is spent on Infrastructure?

15) A histogram shows weights (in kg) of students:

40–45: 3 students, 45–50: 5 students, 50–55: 7 students, 55–60: 6 students, 60–65: 4 students

How many students weigh less than 55 kg?

16) A survey was conducted among 200 students on their preferred mode of transport to school. The results were:- Bus: 80 students – Bicycle: 50 students – Walk: 40 students – Car: 30 students (a) What angle should be used for the “Bus” sector in a pie chart? (b) Which mode of transport has 25% representation in the chart? (c) If 10 more students chose bicycle, how would it affect the angles?

17) What type of data is collected from existing sources?

18) A box contains 5 red balls, 3 green balls, and 2 blue balls. If one ball is drawn at random, what is the probability of drawing a red ball?

19) The following data shows the distribution of weights (in kg) of a group of 15 people:

Weight (kg): 40–50 (3 people), 50–60 (5 people), 60–70 (4 people), 70–80 (3 people)

Find the mean weight of the group.

20) A line graph shows the number of new mobile users (in thousands) in a city each month: Jan – 10, Feb – 15, Mar – 18, Apr – 16, May – 12 In which month was the highest increase from the previous month recorded?