Data Handling Worksheet

Multiple Choice Questions

1. A survey was conducted to find the favourite t-shirt colour on a group of children. The information is shown in the below bar graph.
   
   Which two colours are liked in the ratio 3:4?
   (a) Blue:Black
   (b) Yellow:White
   (c) Black:Blue
   (d) White:Blue
   
   
2. A manufacturing company claims that 45% of their clients are not satisfied with their products. Out of 2000 responses received, find the probability of selecting a response of satisfied client.
   
   
   
3. The below table shows the probability of selecting a fruit from a basket. If 20 fruits are randomly selected, how many fruits would be expected to have a banana?
   
   (a) 10
   (b) 8
   (c) 6
   (d) 4
   
   
4. The below circle graph shows the percentages of the shoe sizes of 500 children.
   
   How many students in this group do not have shoe size 5?
   (a) 325
   (b) 270
   (c) 175
   (d) 110
   
   
5. From a deck of 52 cards, the probability of drawing a non-face card of black colour is
   
   
   
6. A sari shop-owner decided to select a month for its annual sale. What can be the probability that it will be in November or December?
   
   
   
7. Spruha threw the ball 50 times and it fell in bucket II 12 times. Expressing this probability as percentage.
   
   (a) 74%
   (b) 50%
   (c) 30%
   (d) 24%
   
   
8. On a sports day, students participated in different sports which is shown in the below graph. If 22 students participated in football, how many students participated in all sports.
   
   (a) 100
   (b) 98
   (c) 88
   (d) 120
   
   
9. When a dice is rolled, the probability of getting a number which is a factor of 4 is
   
   
   
10. In a lucky draw of coupons, there are 12 winning coupons and 88 blank coupons. If you buy a coupon, what is the probability of your winning?
    
    
    Subjective Questions
    
    
11. Khiyan is playing a spinner game as shown below. What is the probability that the spin will stop at number greater than 3?
    
    
    
12. Read the below graph.
    
    State whether TRUE or FALSE.
    Number of students coming by bicycle are one-fourth of students coming by school van.
    
    
13. A circle graph depicts the trees planted by some college students in four different colleges. If the total trees planted by them is 180, in which college did they plant 30 trees?
    
    
    
14. Rajiv bought a box containing 60 mangoes. When they opened the box after 3 days, they found that one-twelfth of mangoes are rotten. If Rajiv takes out one mango randomly, find the probability that it is not the rotten one.
    
    
    
15. From a set of natural numbers 11 to 25, what is the probability of selecting a number which is a multiple of 4?
    
    
16. The adjoining pie graph shows the data collected from a group of kids about their favourite toys. How many kids enjoy playing with sand bucket?
    
    
    
17. Arnav and his friends decided to visit a zoo in the month of May. Find the probability that the day selected by them for a picnic is 21st May.
    
    
18. Tanvi was holding a deck of 52 cards in her hands. She asked her brother to take one card from it. Find the probability that her brother selected a card of heart or queen.
    
    
    
19. In a flower bucket of 16 flowers, p flowers are of white colour.
    
    (a) If a flower is selected at random, what is the probability that it is a white flower?
    (b) If 2 white flowers are removed from the bucket, the probability of selecting a white flower will be   times than that of (a). Find the value of p.
    
    
20. The number of hours spent by a woman in performing various activities in a day are given below:
    
    (a) Find the percentage of activity in which she spent maximum time.
    (b) By what angle is C more than D?

Multiple Choice Questions

1. A survey was conducted to find the favourite t-shirt colour on a group of children. The information is shown in the below bar graph.
   
   Which two colours are liked in the ratio 3:4?
   (a) Blue:Black
   (b) Yellow:White
   (c) Black:Blue
   (d) White:Blue
   Correct option: (b) Yellow:White
   Solution:
   
   
   
2. A manufacturing company claims that 45% of their clients are not satisfied with their products. Out of 2000 responses received, find the probability of selecting a response of satisfied client.
   
   Correct option: (d)
   Solution: 
   
   
   
3. The below table shows the probability of selecting a fruit from a basket. If 20 fruits are randomly selected, how many fruits would be expected to have a banana?
   
   (a) 10
   (b) 8
   (c) 6
   (d) 4
   Correct option: (c) 6
   Solution:
   Number of fruits selected = 20
   Probability of selecting a banana = 
   Therefore, number of fruits expected to have a banana = 
   
   
4. The below circle graph shows the percentages of the shoe sizes of 500 children.
   
   How many students in this group do not have shoe size 5?
   (a) 325
   (b) 270
   (c) 175
   (d) 110
   Correct option: (a) 325
   Solution:
   Percentage of students not having shoe size 5 = 40% + 15% + 10% = 65%
   Therefore, number of students not having shoes size 5 =
   
   
5. From a deck of 52 cards, the probability of drawing a non-face card of black colour is
   
   Correct Option: (c)
   Solution:
   Total number of cards = 52
   Number of non-face black cards = 10 spade cards + 10 club cards = 20
   Therefore, required probability =
   
   
6. A sari shop-owner decided to select a month for its annual sale. What can be the probability that it will be in November or December?
   
   Correct option: (b)
   Solution:
   Number of months in a year = 12
   Therefore required probability = 
   
   
7. Spruha threw the ball 50 times and it fell in bucket II 12 times. Expressing this probability as percentage.
   
   (a) 74%
   (b) 50%
   (c) 30%
   (d) 24%
   Correct option: (d) 24%
   Solution:
   
   
   
8. On a sports day, students participated in different sports which is shown in the below graph. If 22 students participated in football, how many students participated in all sports.
   
   (a) 100
   (b) 98
   (c) 88
   (d) 120
   Correct option: (c) 88
   Solution:
   Let the number of students participated = x
   Number of students participated in football = 22
   Then, 
   ⇒ x = 88
   
   
9. When a dice is rolled, the probability of getting a number which is a factor of 4 is
   
   Correct option: (b)
   Solution:
   Outcomes when a dice is rolled = 1, 2, 3, 4, 5, 6
   Total number of outcomes = 6
   Factors of 4 = 1, 2, 4
   Therefore, required probability = 
   
   
10. In a lucky draw of coupons, there are 12 winning coupons and 88 blank coupons. If you buy a coupon, what is the probability of your winning?
    
    Correct option: (c)
    Solution:
    Number of winning coupons = 12
    Number of blank coupons = 88
    Total number of coupons = 12 + 88 = 100
    Therefore, probability of winning =
    
    Subjective Questions
    
    
11. Khiyan is playing a spinner game as shown below. What is the probability that the spin will stop at number greater than 3?
    
    Solution: Total numbers in the spin = 7
    Count of numbers greater than 3 = 4
    Therefore, probability that the spin will stop at number greater than
    
    
12. Read the below graph.
    
    State whether TRUE or FALSE.
    Number of students coming by bicycle are one-fourth of students coming by school van.
    Solution:
    Number of students coming by bicycle = 50
    Number of students coming by school van = 200
    Now, 50 = ×200
    ⇒ Number of students coming by bicycle =  × Number of students coming by school van
    Hence, the given statement is true.
    
    
13. A circle graph depicts the trees planted by some college students in four different colleges. If the total trees planted by them is 180, in which college did they plant 30 trees?
    
    Solution:
    
    In college II, they planted 30 trees.
    
    
14. Rajiv bought a box containing 60 mangoes. When they opened the box after 3 days, they found that one-twelfth of mangoes are rotten. If Rajiv takes out one mango randomly, find the probability that it is not the rotten one.
    
    Solution: 
    Total number of mangoes = 60
    Number of rotten mangoes =  × 60 = 5
    ⇒ Number of good mangoes = 60 – 5 = 55
    Therefore, probability of selecting a good mango = 
    
    
15. From a set of natural numbers 11 to 25, what is the probability of selecting a number which is a multiple of 4?
    Solution:
    Total numbers = 15
    Numbers that are multiples of 4 are 12, 16, 20, 24.
    So, number of favourable outcomes = 4
    Hence, required probability =
    
    
16. The adjoining pie graph shows the data collected from a group of kids about their favourite toys. How many kids enjoy playing with sand bucket?
    
    Solution:
    Number of kids enjoy playing with dolls = 100
    Percentage of kids enjoy playing with dolls = (100 – 15 – 25 – 30 – 10)% = 20%
    Let the total number of kids be ‘x’.
    Then, 20% of x = 100
    ⇒ ×x=100
    ⇒ x = 500
    Now, number of students enjoy playing with sand bucket =  × 500 = 150
    
    
17. Arnav and his friends decided to visit a zoo in the month of May. Find the probability that the day selected by them for a picnic is 21st May.
    Solution:
    Number of days in the month of May = 31
    Therefore, required probability =
    
    
18. Tanvi was holding a deck of 52 cards in her hands. She asked her brother to take one card from it. Find the probability that her brother selected a card of heart or queen.
    
    Solution:
    Total number of cards = 52
    Number of heart cards = 10 number cards + 3 face cards (Queen, King, Jack) = 13
    Number of queen cards = 1 spade queen + 1 club queen + 1 diamond queen + 1 heart queen
    But 1 spade queen is already included in 13 spade cards.
    So, number of queen cards = 3
    Hence, required probability =
    
    
19. In a flower bucket of 16 flowers, p flowers are of white colour.
    
    (a) If a flower is selected at random, what is the probability that it is a white flower?
    (b) If 2 white flowers are removed from the bucket, the probability of selecting a white flower will be  times than that of (a). Find the value of p.
    Solution:
    (a) Total number of flowers = 16
    Number of white colour flowers = p
    Therefore, probability of selecting a white flower =
    
    (b) Total number of flowers = 16 – 2 = 14
    Number of white colour flowers = p – 2
    Therefore, probability of selecting a white flower = 
    Now, 
    ⇒ 8p – 16 = 4p
    ⇒ 4p = 16
    ⇒ p = 4
    
    
20. The number of hours spent by a woman in performing various activities in a day are given below:
    
    (a) Find the percentage of activity in which she spent maximum time.
    (b) By what angle is C more than D?
    Solution:
    (a) Total number of hours = 24
    Maximum hours are spent in activity A, which is 8 hours.
    ∴ Percentage of activity A =
    
    (b)