We have learnt, that a collection of objects can be stored out based on their color, shape, size or any other common thing among them. We can organise all the information in a table to understand how many of each item is there in a collection. Information collected is called data.
What is Data?
Data is a collection of information. It can be organised with the help of pictures, graphs, tables, etc.
Collecting Data:
Let us understand this with the help of an example.
Students of Class 2 were asked to note down their -favourite sport from among the following:
Cricket, Football, Baseball, Badminton, Hockey
The information collected is shown in the table below.
The numbers 10, 15, 5, 4 and 6 is data for the favourite sport of students of Class 2.
Reading the Data:
1. A survey was conducted among the students of Sections A and B of Class 2. The topic of the survey was "What is your favourite activity?".
The data collected is shown here in the form of a table.
Read the data in the table above and answer the following questions.
(i) Which activity is most popular in Section A?
(ii) Which two activities are equally popular in Section A?
(iii) Which activity is least popular in Section A?
(iv) Which activity is least popular in Section B?
(v) How many students like yoga in both the sections taken together?
(vi) How many students like exercise in both the sections taken together?
(vii) How many more students in Section B like dancing compared to those in Section A?
2. Look at the picture.
Count and write.
(i) How many apples?
(ii) How many watermelons?
(iii) How many bananas?
(iv) How many mangoes?
(v) How many more apples than mangoes?
(vi) Which fruit is greatest in number?
(vii) Which fruit is least in number?
(viii) Are there more apples or bananas?
LIST AND TABLE
3. A list is a record of important items. A shopping list can remind us about what to buy Geeta's mother gave her a list of stationery to buy.
Check if she has bought everything as per the list.
Is there an item she has forgotten to buy?
We can see pencils, crayons, paint brushes, sharpeners and erasers.
Is there an item that was not on the shopping list?
Let us tally the items with the list. Brushes-check. Pencils-check. Crayons- check. Erasers-check. Sharpener-uh Oh! The sharpener was not on the shopping list.
Is there an item she has bought more or less of?
Let us tally the items in the shopping bag with the list. Brushes-2-correct.
Pencils-3-correct. Crayons-3-correct. Erasers-1-Oh no! Geeta bought one sharpener and two erasers by mistake when the shopping list had no mention of a sharpener and just one eraser.
It is easier to tally the items by making a table as shown below.
Item |
Number |
Tally |
Pencils |
3 |
✔ |
Crayons |
3 |
✔ |
Paint brushes |
2 |
✔ |
Sharpener |
1 |
extra |
Eraser |
2 |
1 extra |
4. Study the given table. It shows the number of hours that three friends spent in a park during the week. Based on this information, answer the questions that follow.
(i) How much time (in hours) did each one of them spend in the park? Who spent most amount of time in the park over the week?
Answer: Michael spent the most amount of time in the park over the week. He spent 2 + 2 + 1 + 2 + 3 + 4 = 14 hours in all whereas Joseph spent 1 + 2 + 2 + 1 + 3 + 4 = 13 and David spent 1 + 1 + 1 + 2 + 3 = 8 hours.
(ii) On which day none of them went to the park?
Answer: For some reason no one went to the park on Friday.
(iii) On how many days did all three friends definitely go to the park?
Answer: All three friends went to the park on 5 days which are Monday, Tuesday, Wednesday, Saturday and Sunday.
(iv) On how many days did each one of them go to the park?
Answer: Both Joseph and Michael went to the park on 6 days, but David went to the park on only 5 days.
(v) On which days did all of them spend the most time in the park?
Answer: All the friends were in the park the longest during the weekend. Joseph and Michael spent 7 hours while David spent 5 hours.
5. An ice cream vendor made this list of ice creams he sold on Sunday.
Cones |
48 |
Cups |
32 |
Bricks |
8 |
(i) How many types of ice creams were sold by the ice cream vendor?
(ii) Which type of ice cream had the maximum sale?
(iii) How many ice creams were sold in all on Sunday?
The mode of transport use by the children of class-II are as follows:
James Mary Michael Patricia Robert Jennifer John Linda David Elizabeth William Barbara Noah Oliver Henry Daniel |
- - - - - - - - - - - - - - - - |
Bus Cycle Bus Bus Walk Walk Bus Cycle Cycle Bus Bus Walk Rikshaw Walk Bus Bus |
To find out how do the children in class-II come to school, we can make a table. Starting from the first child put a tick against each transport. Then count the ticks.
Mode of transport |
Tick Mark |
Number of children |
Bus Cycle Walk Rikshaw |
✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ ✔ |
8 3 4 1 |
We can also represent the above information using blocks. Make a for each child.
1. Fill in the blanks:
(i) Information collected is called ...................
(ii) We can organise information in a ...................
Answer:
1. (i) data
(ii) table
2. Students of XYZ school, have prepared following details of birds seen in a bird sanctuary.
Kingfisher |
25 |
Myna |
18 |
Parrot |
32 |
Pigeon |
32 |
Bulbul |
8 |
Answer the following questions:
(i) Which bird was seen the most?
(ii) Which bird was seen the least?
(iii) Which two birds were equal in number?
(iv) How many birds were seen in all?
Answer:
2. (i) Parrot and Pigeon
(ii) Bulbul
(iii) Parrot and Pigeon
(iv) 115
3. Mr. John has collected details of weather conditions in a month.
Answer the following questions:
(i) How many sunny days are there in the month?
(ii) How many rainy days are there in the month?
(iii) How many days were having thunderstorm?
(iv) What is the total number of days in the month?
(v) How many more sunny days are there than rainy days in the month?
Answer:
3. (i) 15
(ii) 10
(iii) 2
(iv) 31
(v) 5
4. 15 students of Class 2 were asked what their favourite colour is. Following is their response:
Roll No. |
Response |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 |
Red Red Green Yellow Blue Blue Black Black Yellow Green White Blue Green Yellow Blue |
Use the information to complete the list given.
Favourite Colour |
Number of Students | |
(i) |
Red |
_____ |
(ii) |
Blue |
_____ |
(iii) |
White |
_____ |
(iv) |
Green |
_____ |
(v) |
Black |
_____ |
(vi) |
Yellow |
_____ |
Answer:
4. (i) 2
(ii) 4
(iii) 1
(iv) 3
(v) 2
(vi) 3
5. The following list shows the ice cream flavours sold by a parlour on three days.
Flavour |
Vanilla |
Strawberry |
Chocolate |
Saturday |
7 |
11 |
18 |
Sunday |
9 |
15 |
22 |
Monday |
5 |
7 |
11 |
By looking at the above list answer the following:
(i) Which is the best selling flavour over the three days?
(ii) Which flavour sold the least?
(iii) How many strawberry ice creams were sold over the three days?
(iv) On which day were the least number of ice creams sold?
(v) On which day were the most number of ice creams sold?
(vi) How many ice creams were sold in all over the three days?
6. The following table shows the number of students who attends different activities after school.
Music |
15 |
Dance |
10 |
Drama |
8 |
Drawing |
5 |
Games |
10 |
Answer the following questions:
(i) How many students learn drama?
(ii) How many students learn music?
(iii) How many students in all learn dance and drama?
(iv) Which activity is attended by least number of students?
Answer:
6. (i) 8
(ii) 15
(iii) 18
(iv) Drawing
7. Mr. James has a toy shop. He has recorded the number of various items he sold last week.
Dolls |
10 |
Aeroplanes |
12 |
Balls |
30 |
Cars |
16 |
Guns |
20 |
Trains |
14 |
Answer the following questions:
(i) How many dolls were sold?
(ii) How many toys were sold in all?
(iii) How many more guns were sold than cars?
(iv) Which toy sold the most?
(v) Which toy sold the least?
Answer:
7. (i) 10
(ii) 102
(iii) 4
(iv) Balls
(v) Dolls
8. Prepare a table giving details of number of items you can carrying today in your school bad.
Item |
Number |
Item |
Number |
__________ |
__________ |
__________ |
__________ |
__________ |
__________ |
__________ |
__________ |
Framing Word Problem:
9. Create a story using the items in the table. You can use the words least, most, more and less in your story. Write your story in the space below.
Carrot |
8 |
Capsicum |
6 |
Brinjal |
5 |
Tomato |
12 |
Cauliflower |
2 |
______________________________________________________
______________________________________________________
______________________________________________________
______________________________________________________
______________________________________________________
______________________________________________________
10. The shopkeeper collected details of ice creams sold in his shop in a month. He noted that most popular flavor is vanilla. He sold 25 more vanilla ice creams than chocolate ice creams. He sold 60 chocolate ice creams, 75 mango ice creams and 10 orange ice creams. Write the details in the following table.
Answer the following questions:
(i) Which flavor had the least sales?
(ii) Which flavor had the most sales?
(iii) How many vanilla ice creams were sold?
(iv) How many more mango ice creams than chocolate ice creams were sold?
Answer:
10.
Ice cream |
Number |
Orange |
10 |
Chocolate |
60 |
Mango |
75 |
Vanilla |
85 |
(i) Orange
(ii) Vanilla
(iii) 85
(iv) 15
11. Look at the table and answer the questions that follow.
(i) How many students like to play tennis?
(ii) Which is the most favourite game?
(iii) Which is the least favourite game?
(iv) How many students like to play football?
Answer:
11. (i) 5
(ii) Cricket
(iii) Hockey
(iv) 5
12. Count the animals shown below and tick (✔) the correct box.
Answer:
12. (i) 3
(ii) 5
(iii) 7
(iv) 6
13. Make a group of ten in your class, write their date of birth. Also write how they come to the school. Now answer the following questions.
(i) How many students in the group have their names starting with a vowel?
(a) less than 5
(b) more than 5
(c) none
(ii) How many students in the group have their birthdays in the months of summer vacations?
(a) less than 5
(b) more than 5
(c) none
(iii) How many students in the group use school bus for coming to school?
(a) less than 5
(b) more than 5
(c) none
(iv) How many students are older than you?
(a) less than 5
(b) more than 5
(c) none
14. How do the children in Nitheeya's class come to school?
(i) How many more children came by bus than by auto rickshaw? __________.
(ii) Least number of children come by __________.
(iii) Total number of children in the Nitheeya's class is __________.
Answer:
14. (i) 13
(ii) walking
(iii) 35
15. Following are the marks obtained (out of 100) in the Mathematics test by a class of 20 students.
Student James Michael Jennifer John David Elizabeth Jessica Mason Sarah Matthew |
Mark 56 95 78 60 62 75 87 92 80 81 |
Student Richard Christopher Nancy Jacob Daniel Kevin Lisa Ashley Emily Ryan |
Mark 74 90 75 69 58 84 64 72 76 65 |
Look at the given data and answer the following questions:
(i) How many students have scored more than 70 marks?
(ii) How many students have scored more than 80 marks?
(iii) Who has scored the maximum marks?
(iv) Who has scored the lowest marks?
(v) How many girl students have got more than 60 marks?
(vi) What is the difference between the highest and lowest marks?
(vii) How many students have scored marks between 50 and 70?
(viii) What is the difference between Christopher's and Ryan's marks?
Answer:
15. (i) 13
(ii) 6
(iii) Michael
(iv) James
(v) 8
(vi) 39
(vii) 7
(viii) 25
16. The pictograph given below shows the number of vegetables, Nairitee bought from the market.
Read the pictograph and answer the questions:
(i) How many kinds of vegetables does the Kanika have?
(ii) Which vegetable is least in number?
(iii) Which vegetable is maximum in number?
(iv) How many tomatoes are there?
Answer:
16. (i) 5
(ii) Potatoes
(iii) Carrots
(iv) 6
17. Jennifer bought a big bouquet of flowers for her grandmother's birthday. She used the following flowers. Rewrite the data in decreasing order of number of flowers.
Flower |
Numbers |
Flower |
Numbers |
Lily White Rose Carnation Gerbera Red Rose Anthurium |
5 14 8 21 25 3 |
__________ __________ __________ __________ __________ __________ |
_____ _____ _____ _____ _____ _____ |
Now, look at your data and answer the following questions:
(i) Which flower was maximum in number?
(ii) Which flower was least in number?
(iii) How many roses were used?
(iv) How many flowers were used in all?
Answer:
17. Data in decreasing order
Flower |
Numbers | |
Red Rose Gerbera White Rose Carnation Lily Anthurium |
25 21 14 8 5 3 |
(i) Red Rose
(ii) Anthurium
(iii) 39
(iv) 76
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