Data Handling Worksheet

Multiple Choice Questions

1. Kartik spends 3 hours, 2.5 hours, 4.5 hours, 6 hours and 4 hours in extracurricular activities every 5 days a week. What is the average time spent by Kartik on each day?
   (a) 3 hours
   (b) 2.5 hours
   (c) 4 hours
   (d) 4.5 hours
   
   
2. An orphanage keeps a regular check in the donation box and maintains a record of money received on a monthly basis. If the money received in last 6 months is as follows:
   Rs. 10200, Rs. 12300, Rs. 9300, Rs. 11200, Rs. 10000 and Rs. 13000
   How much money did this orphanage receive in one month on an average?
   (a) Rs. 9333
   (b) Rs. 10833
   (c) Rs. 11000
   (d) Rs. 11500
   
   
3. A fruit basket has 10 different types of fruits in it. The weights of the fruits are as follows:
   0.4 kg, 0.6 kg, 2 kg, 1.5 kg, 1.2 kg, 3 kg, 3.5 kg, 5 kg, 0.2 kg, 4 kg
   What is the range of the weights of the fruits?
   (a) 3.8 kg
   (b) 3.6 kg
   (c) 4.8 kg
   (d) 4.6 kg
   
   
4. Points scored by four players in six matches are as follows:
   
   If a player with highest average score wins the match, then which of the following player wins the match?
   (a) Player 1
   (b) Player 2
   (c) Player 3
   (d) Player 4
   
   
5. Following are the sizes of the shirts purchased by each customer in one day:
   40, 37, 38, 42, 39, 40, 43, 40, 42, 39, 37, 50, 44, 46, 40, 39, 37.
   Which of the following shirt size gives the highest sale for a day?
   (a) 37
   (b) 38
   (c) 39
   (d) 40
   
   
6. Runs scored by a batsman in first 12 balls are as follows:
   1, 4, 6, 4, 0, 1, 4, 0, 2, 4, 6, 1.
   What is the mode of this data?
   (a) 1
   (b) 2
   (c) 4
   (d) 6
   
   
7. Raj is practising for 100 metre race and so he records the timing in seconds for each run as follows:
   89, 91, 90, 89, 92, 89, 90, 91, 89, 91, 90, 93, 89, 92, 89, 93, 90, 89.
   What is the mode of the data?
   (a) 89
   (b) 90
   (c) 91
   (d) 92
   
   
8. A Christmas party has been organised by a colony. Ages of the members participated in the party are as follows:
   38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47
   If 2 groups have to be made so that each group has equal number of individuals and the member in the middle becomes the spectator. What is the age of a spectator?
   (a) 37 years
   (b) 38 years
   (c) 40 years
   (d) 43 years
   
   
9. Heights (in feet) of trees planted in a garden are as follows:
   19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
   If they are arranged in the increasing order of their heights, what is the height of the tree, which is in the middle?
   (a) 20 feet
   (b) 19 feet
   (c) 25 feet
   (d) 23 feet
   
   
10. Quantity of apples & mangoes sold per day by a fruit seller have been recorded and is shown using a bar graph given below:
    
    
    What is the difference between the quantity of apples and quantity of mangoes sold in 5 days?
    (a) 10 kg
    (b) 8 kg
    (c) 5 kg
    (d) 3 kg
    
    Subjective Questions
    
    
11. Nitya starts a new diet plan and keeps a record of calorie intake per day for first 10 days.
    2200, 2150, 1950, 1850, 1900, 1800, 1950, 2050, 1750, 1900
    Find the average calorie intake for Nitya according to her new diet plan?
    
    
12. A dairy farm maintains a record of monthly income made by only selling milk. The number of litres of milk sold monthly are as follows:
    350, 300, 320, 310, 370, 400, 350, 360, 380, 420, 500, 440
    Find the average number of litres of milk sold monthly.
    
    
13. Ram has got a pocket money of Rs. 500 for a month. He spends Rs. 200 in the first 10 days as follows:
    22, 31, 28, 24, 25, 16, 23, 13, 8, 10
    How much money should he spend on an average in the next 20 days?
    
    
14. Number of goals made by two opponent teams in a football match are as follows:
    
    
    If a team with highest average number of goals wins the match, state the winning team.
    
    
15. A car travelled for 8 continuous hours and the distance covered (in kms) per hour are given below:
    37 km, 30 km, 32 km, 31 km, 29 km, 39 km, 42 km, 40 km
    Tina calculates the average speed of this car so that she can plan a trip to her home town. Find the average speed that Tina would get for the car.
    
    
16. A box has 20 different sizes of balls in it. The diameters of the balls present in the box are as follows:
    3.2, 4.1, 2.8, 5.4, 3.6, 2.6, 2.4, 3.4, 3.8, 2, 4, 6, 3, 8, 7, 11, 15, 19, 13, 16
    What is the range of sizes of the balls?
    
    
17. Om buys a packet of 20 candies. The weights (in grams) of these candies are as follows:
    10, 11, 20, 12, 11, 13, 11, 13, 20, 11, 12, 9, 14, 11, 15, 16, 11, 12, 13, 20
    If Om group candies of equal weight together, find the group having highest number of candies?
    
    
18. At a railway ticket counter, there are 20 people standing in a Que. Distance (in cm) between every two consecutive individuals are noted and are given below:
    50, 75, 50, 80, 80, 50, 100, 65, 70, 75, 90, 85, 90, 50, 65, 70, 85, 100, 95, 50
    What is the most common distance between two individuals?
    
    
19. There are multiple fruit boxes of different weights (in kg) being kept in the warehouse. The weights of the boxes are as follows:
    12, 14, 12, 16, 15, 13, 14, 18, 19, 12, 14, 15, 16, 15, 16, 16, 15, 17, 13, 16, 16, 15, 15, 13, 15, 17, 15, 14, 15, 13, 19
    There are two groups so that weight of each box in group 1 must be less than the weight of the middle box and weight of each box in group 2 must be greater than the weight of the middle box.
    What is the weight of the middle box?
    
    
20. Marks scored by Sameer in different subjects are given below using a bar graph:
    
    In which subject Sameer has got maximum marks?

Multiple Choice Questions

1. Kartik spends 3 hours, 2.5 hours, 4.5 hours, 6 hours and 4 hours in extracurricular activities every 5 days a week. What is the average time spent by Kartik on each day?
   (a) 3 hours
   (b) 2.5 hours
   (c) 4 hours
   (d) 4.5 hours
   Correct Option: (c) 4 hours
   Solution:
   Average time spent by Kartik on each day
   =(3+2.5+4.5+6+4)/5=20/5=4 hours
   
   
2. An orphanage keeps a regular check in the donation box and maintains a record of money received on a monthly basis. If the money received in last 6 months is as follows:
   Rs. 10200, Rs. 12300, Rs. 9300, Rs. 11200, Rs. 10000 and Rs. 13000
   How much money did this orphanage receive in one month on an average?
   (a) Rs. 9333
   (b) Rs. 10833
   (c) Rs. 11000
   (d) Rs. 11500
   Correct Option: (c) Rs. 11000
   Solution:
   Total money received by an orphanage = 10200 + 12300 + 9300 + 11200 + 10000 + 13000
   = Rs. 66000
   Average money received in one month
   =(Total money received)/6
   =66000/6
   = Rs. 11000
   
   
3. A fruit basket has 10 different types of fruits in it. The weights of the fruits are as follows:
   0.4 kg, 0.6 kg, 2 kg, 1.5 kg, 1.2 kg, 3 kg, 3.5 kg, 5 kg, 0.2 kg, 4 kg
   What is the range of the weights of the fruits?
   (a) 3.8 kg
   (b) 3.6 kg
   (c) 4.8 kg
   (d) 4.6 kg
   Correct Option: (c) 4.8 kg
   Solution:
   Least weight of a fruit is 0.2.
   Highest weight of a fruit is 5 kg.
   Range of the weights of the fruits = 5 – 0.2 = 4.8 kg
   
   
4. Points scored by four players in six matches are as follows:
   
   If a player with highest average score wins the match, then which of the following player wins the match?
   (a) Player 1
   (b) Player 2
   (c) Player 3
   (d) Player 4
   Correct Option: (b) Player 2
   Solution:
   Average points scored by player 1 is =(10+14+8+6+0+10)/6=48/6=8
   Average points scored by player 2 is =(7+11+14+16+6+0)/6=54/6=9
   Average points scored by player 3 is =(4+2+18+7+9+2)/6=42/6=7
   Average points scored by player 4 is =(6+0+5+9+10+12)/6=42/6=7
   Highest average score is 9 points and it is scored by player 2.
   So, player 2 wins the match.
   
   
5. Following are the sizes of the shirts purchased by each customer in one day:
   40, 37, 38, 42, 39, 40, 43, 40, 42, 39, 37, 50, 44, 46, 40, 39, 37.
   Which of the following shirt size gives the highest sale for a day?
   (a) 37
   (b) 38
   (c) 39
   (d) 40
   Correct Option: (d) 40
   Solution:
   Shirt size 40 has been purchased by 4 customers.
   Shirts with other sizes have been purchased by less than 4 customers each.
   So, the shirt size 40 gives the highest sale for a day.
   
   
6. Runs scored by a batsman in first 12 balls are as follows:
   1, 4, 6, 4, 0, 1, 4, 0, 2, 4, 6, 1.
   What is the mode of this data?
   (a) 1
   (b) 2
   (c) 4
   (d) 6
   Correct Option: (c) 4
   Solution:
   Arranging the numbers with same values together as follows:
   0, 0, 1, 1, 1, 2, 4, 4, 4, 4, 6, 6
   The batsman has mostly hit a 4 as it is occurring 4 times.
   Hence, mode of this data is 4.
   
   
7. Raj is practising for 100 metre race and so he records the timing in seconds for each run as follows:
   89, 91, 90, 89, 92, 89, 90, 91, 89, 91, 90, 93, 89, 92, 89, 93, 90, 89.
   What is the mode of the data?
   (a) 89
   (b) 90
   (c) 91
   (d) 92
   Correct Option: (a) 89
   Solution:
   Arranging the numbers in ascending order:
   89, 89, 89, 89, 89, 89, 89, 90, 90, 90, 90, 91, 91, 91, 92, 92, 93, 93
   89 is occurring most often.
   Hence, mode of this data is 89
   
   
8. A Christmas party has been organised by a colony. Ages of the members participated in the party are as follows:
   38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47
   If 2 groups have to be made so that each group has equal number of individuals and the member in the middle becomes the spectator. What is the age of a spectator?
   (a) 37 years
   (b) 38 years
   (c) 40 years
   (d) 43 years
   Correct Option: (c) 40 years
   Solution:
   As we need to divide the individuals into 2 groups using the middle value, so we can use the concept of median here.
   Arranging the ages in ascending order:
   32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50
   There are 15 members, so 8th member is in the middle.
   So, he/she becomes the spectator.
   Thus, the age of the spectator is 40 years.
   
   
9. Heights (in feet) of trees planted in a garden are as follows:
   19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
   If they are arranged in the increasing order of their heights, what is the height of the tree, which is in the middle?
   (a) 20 feet
   (b) 19 feet
   (c) 25 feet
   (d) 23 feet
   Correct Option: (a) 20 feet
   Solution:
   Let us arrange the heights in ascending order as follows:
   5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25
   There are 15 trees and middle tree is at the 8th position.
   Height of the tree, which is in the middle, is 20 feet.
   
   
10. Quantity of apples & mangoes sold per day by a fruit seller have been recorded and is shown using a bar graph given below:
    
    
    What is the difference between the quantity of apples and quantity of mangoes sold in 5 days?
    (a) 10 kg
    (b) 8 kg
    (c) 5 kg
    (d) 3 kg
    Correct Option: (c) 5 kg
    Solution:
    Quantity of apples sold in 5 days = 20 + 15 + 20 + 20 + 15 = 90 kg
    Quantity of mangoes sold in 5 days = 15 + 20 + 15 + 25 + 10 = 85 kg
    Difference between the quantity of fruits sold = 90 – 85 = 5 kg
    
    Subjective Questions
    
    
11. Nitya starts a new diet plan and keeps a record of calorie intake per day for first 10 days.
    2200, 2150, 1950, 1850, 1900, 1800, 1950, 2050, 1750, 1900
    Find the average calorie intake for Nitya according to her new diet plan?
    Solution:
    Average calorie intake for a day
    =(2200+2150+1950+1850+1900+1800+1950+2050+1750+1900)/5
    =19500/10
    =1950 calories
    
    
12. A dairy farm maintains a record of monthly income made by only selling milk. The number of litres of milk sold monthly are as follows:
    350, 300, 320, 310, 370, 400, 350, 360, 380, 420, 500, 440
    Find the average number of litres of milk sold monthly.
    Solution:
    Average number of litres of milk sold monthly
    =(350+300+320+310+370+400+350+360+380+420+500+440)/12
    =4500/12
    = 375 litres
    
    
13. Ram has got a pocket money of Rs. 500 for a month. He spends Rs. 200 in the first 10 days as follows:
    22, 31, 28, 24, 25, 16, 23, 13, 8, 10
    How much money should he spend on an average in the next 20 days?
    Solution:
    As ram has already spent Rs. 200 in the first 10 days.
    So, he is left with Rs. 300 for the next 20 days.
    ∴ The money spent on an average in the next 20 days
    =300/20
    = Rs. 15
    
    
14. Number of goals made by two opponent teams in a football match are as follows:
    
    
    If a team with highest average number of goals wins the match, state the winning team.
    Solution:
    Average number of goals made by team A
    =(13+12+10+16+9)/5=60/5=12
    Average number of goals made by team B
    =(17+10+15+13+15)/5=70/5=14
    So, team B wins the match.
    
    
15. A car travelled for 8 continuous hours and the distance covered (in kms) per hour are given below:
    37 km, 30 km, 32 km, 31 km, 29 km, 39 km, 42 km, 40 km
    Tina calculates the average speed of this car so that she can plan a trip to her home town. Find the average speed that Tina would get for the car.
    Solution:
    Average speed of the car
    =(37+30+32+31+29+39+42+40)/8
    =280/8
    = 35 km/hr
    
    
16. A box has 20 different sizes of balls in it. The diameters of the balls present in the box are as follows:
    3.2, 4.1, 2.8, 5.4, 3.6, 2.6, 2.4, 3.4, 3.8, 2, 4, 6, 3, 8, 7, 11, 15, 19, 13, 16
    What is the range of sizes of the balls?
    Solution:
    Smallest ball is a ball with diameter 2.
    Largest ball is a ball with diameter 19.
    So, the range of sizes of the balls = 19 – 2 = 17
    
    
17. Om buys a packet of 20 candies. The weights (in grams) of these candies are as follows:
    10, 11, 20, 12, 11, 13, 11, 13, 20, 11, 12, 9, 14, 11, 15, 16, 11, 12, 13, 20
    If Om group candies of equal weight together, find the group having highest number of candies?
    Solution:
    Arranging the data in ascending order as follows:
    9, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 15, 16, 20, 20, 20
    As 11 is occurring most often.
    So, mode is 11.
    The group having highest number of candies is the mode of the data.
    Hence, the group having highest number of candies is a group where each packet’s weight is 11 kg.
    
    
18. At a railway ticket counter, there are 20 people standing in a Que. Distance (in cm) between every two consecutive individuals are noted and are given below:
    50, 75, 50, 80, 80, 50, 100, 65, 70, 75, 90, 85, 90, 50, 65, 70, 85, 100, 95, 50
    What is the most common distance between two individuals?
    Solution:
    Let’s arrange the distances in ascending order.
    50, 50, 50, 50, 50, 65, 65, 70, 70, 75, 75, 80, 80, 85, 85, 90, 90, 95, 100, 100
    So, 50 cm is the most common distance between two individuals.
    
    
19. There are multiple fruit boxes of different weights (in kg) being kept in the warehouse. The weights of the boxes are as follows:
    12, 14, 12, 16, 15, 13, 14, 18, 19, 12, 14, 15, 16, 15, 16, 16, 15, 17, 13, 16, 16, 15, 15, 13, 15, 17, 15, 14, 15, 13, 19
    There are two groups so that weight of each box in group 1 must be less than the weight of the middle box and weight of each box in group 2 must be greater than the weight of the middle box.
    What is the weight of the middle box?
    Solution:
    Arranging the weights in ascending order:
    12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 18, 19, 19
    There are 31 boxes.
    Group 1: Boxes weighing 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15.
    Group 2: Boxes weighing 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 18, 19, 19.
    Middle value is at 16th position which a box of weight 15 kg.
    So, the weight of the middle box is 15 kg.
    
    
20. Marks scored by Sameer in different subjects are given below using a bar graph:
    
    In which subject Sameer has got maximum marks?
    Solution:
    According the bar graph, the highest bar is shown for the subject Science.
    So, Sameer has got maximum marks in Science.