Data Handling quiz

The mean of 2, 4, 6, 8 and 10 is:

The range of 12, 25, 7, 30, 18 is:

The mode of 3, 5, 3, 7, 5, 3, 9 is:

The median of 4, 9, 2, 7, 5 is:

The probability of getting a head when a fair coin is tossed is:

The probability of getting 7 when a die numbered 1 to 6 is thrown is:

The mean of the first five whole numbers is:

Which representative value is the most frequent observation?

A double bar graph is used to:

The probability of getting an odd number when a die is thrown is:

Find the mean of the first five prime numbers. (2 marks)

Find the median of 13, 16, 12, 14, 19, 12, 14, 13, 14. (2 marks)

Find the mode of 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5. (2 marks)

The temperatures over 5 days were 30, 32, 28, 31 and 29 degrees C. Find the mean temperature. (2 marks)

Can a data set have more than one mode? Give an example. (2 marks)

Is the mean always one of the observations? Give an example. (2 marks)

A die is thrown. What is the probability of getting a number less than 3? (2 marks)

Give two examples of events that are certain and impossible. (2 marks)

Find the range of the heights 135 cm, 150 cm, 139 cm, 128 cm, 151 cm, 132 cm. (2 marks)

Why do we choose a scale for a bar graph? (2 marks)

The ages (in years) of 10 teachers are 32, 41, 28, 54, 35, 26, 23, 33, 38, 40. Find (i) the age of the oldest and youngest teacher (ii) the range (iii) the mean age. (3 marks)

The rainfall (in mm) in a city on 7 days of a week was 0.0, 12.2, 2.1, 0.0, 20.5, 5.5, 1.0. Find the mean rainfall and the median. (3 marks)

The mean of 6 observations is 15. Five of them are 10, 12, 18, 20 and 14. Find the sixth observation. (3 marks)

Find the mean, median and mode of: 5, 20, 15, 25, 30, 15, 20, 35, 15. (3 marks)

A spinner has 8 equal sectors numbered 1 to 8. Find the probability that the pointer stops at (i) 8 (ii) an odd number (iii) a number greater than 2. (3 marks)

Read the passage and answer the questions. A cricket team played 7 matches and scored 180, 220, 150, 260, 180, 170 and 240 runs. (i) Find the mean score. (ii) Find the median score. (iii) Find the mode and the range. (5 marks)

Read the passage and answer the questions. A school recorded the attendance of Class VII over five days: Monday 38, Tuesday 40, Wednesday 35, Thursday 39, Friday 38. The class has 40 students. (i) Find the mean attendance. (ii) On which day was attendance lowest? (iii) What is the mode of the attendance data? (5 marks)

Read the passage and answer the questions. In a game, Riya tosses a coin and Arjun throws a die. Riya wins if she gets a head; Arjun wins if he gets a 6. (i) What is the probability that Riya wins? (ii) What is the probability that Arjun wins? (iii) Who has a better chance of winning? (5 marks)

Read the passage and answer the questions. A double bar graph compared the number of boys and girls in classes VI to VIII: VI (boys 25, girls 20), VII (boys 22, girls 24), VIII (boys 18, girls 26). (i) In which class are girls more than boys by the greatest number? (ii) Find the total number of students in class VII. (iii) Find the mean number of girls per class, correct to one decimal place. (5 marks)

Read the passage and answer the questions. The monthly electricity bills (in Rs) of a family for five months were 850, 920, 1250, 980 and 900. (i) Find the mean monthly bill. (ii) Find the median bill. (iii) Find the range and suggest one reason for the highest bill. (5 marks)

Draw a double bar graph for the number of trees planted by two schools in five years: 2019 (40, 35), 2020 (55, 50), 2021 (45, 60), 2022 (70, 65), 2023 (80, 75). Find the year in which School B planted more than School A, and the mean number planted by each school. (6 marks)

The marks of 20 students in a test out of 20 are: 12, 15, 18, 10, 15, 14, 16, 15, 12, 17, 19, 15, 13, 11, 15, 14, 16, 18, 12, 13. Make a frequency table, draw a bar graph, and find the mode, mean and range. (6 marks)

Explain mean, median and mode with an example each. Find all three for the data 6, 8, 5, 8, 9, 7, 8, 4, 8 and comment on which best represents the data. (6 marks)

Explain probability with examples of a coin, a die and a bag of coloured balls. A bag has 6 red, 4 white and 2 black balls; find the probability of drawing each colour, and show the outcomes in a simple diagram. (6 marks)

The number of books read by 7 students in a month were 4, 7, 2, 9, 5, 3 and 5. Draw a bar graph. Find the mean and median. If the student who read 9 books actually read 16, find the new mean and median and explain why only one of them changed. (6 marks)