CBSE Class 5 Mathematics Handling Data Worksheet

Ln.13. HANDLING DATA

DO THE FOLLOWINGS

Question 1. 100 children were asked which kind of cartoon show were their favorite. Look at the table that gives their replies, color and label circle graph accordingly.
Ben 10: 36
Spider man: 24
Tom and jerry: 20
Doremon: 20
Answer: To represent this data on a circle graph (pie chart), we calculate the fraction or percentage for each cartoon out of 100 children:
- Ben 10 = \(\frac{36}{100} = 36\%\) (or \(36^\circ\) out of \(100\%\), representing 36% of the circle area)
- Spider man = \(\frac{24}{100} = 24\%\)
- Tom and jerry = \(\frac{20}{100} = 20\%\)
- Doremon = \(\frac{20}{100} = 20\%\)
Color the circle graph by dividing it into 4 sectors proportional to these percentages: 36% for Ben 10, 24% for Spider man, 20% for Tom and Jerry, and 20% for Doremon.
In simple words: Convert each number into a percentage out of 100 and shade the matching fraction of the circle graph.

Exam Tip: Always double check that the sum of all parts equals the total number of items (36 + 24 + 20 + 20 = 100).

Question 2. Information about how children in class V come to school, is given in the below table. Label the circle graph accordingly.
Cars: 20
Buses: 60
Cycles: 30
Walking: 10
Answer: First, find the total number of children = \(20 + 60 + 30 + 10 = 120\).
Calculate the fraction for each category:
- Cars = \(\frac{20}{120} = \frac{1}{6}\) (approx. 16.67%)
- Buses = \(\frac{60}{120} = \frac{1}{2}\) (50%)
- Cycles = \(\frac{30}{120} = \frac{1}{4}\) (25%)
- Walking = \(\frac{10}{120} = \frac{1}{12}\) (approx. 8.33%)
Label the circle graph sectors accordingly with Buses taking half the circle, Cycles taking one-quarter, Cars taking one-sixth, and Walking taking one-twelfth.
In simple words: Find the total number of students, then divide the circle into fractions representing each travel mode.

Exam Tip: Simplify the fractions to easily estimate the angle or sector size on the pie chart.

Question 3. Complete the tally chart.
Favorite games of students in class V.

a) Which is the most popular game?
b) Which is the least popular?
c) Which two games are equally popular?
d) How many more children like cricket than chess?
e) How many children are there in all in class V?
Answer:
a) Cricket (Number = 19)
b) Chess (Number = 7)
c) None of the games are equally popular (Counts are 11, 19, 13, 7 respectively).
d) Children who like cricket = 19, Children who like chess = 7
Difference = \(19 - 7 = 12\) children
e) Total children = \(11 + 19 + 13 + 7 = 50\)
In simple words: Count tally bundles (each bundle of 5 lines represents 5) to fill the numbers, then compare values for questions.

Exam Tip: Remember that every bundle of 4 vertical lines crossed by a diagonal line represents 5 units.

Question 4. Build a tally chart using these shapes.
(Shapes provided in worksheet: Circles, Triangles, Squares / Rectangles, Lines)
Answer: Counting the shapes from the data grid:
- Circles: 15
- Triangles: 18
- Lines / Bars: 12

In simple words: Group each identical shape together, count them carefully, and record them as tally marks.

Exam Tip: Strike off each shape in the question grid as you count it to avoid missing any or double-counting.

Question 5. Study the graph and answer the question.
(Bar graph showing hobbies: Stamp collection = 7, Reading = 8, Singing = 3, Dancing = 2)
Fill in the blanks by studying the bar graph:
a) _____ Children have Reading as a hobby.
b) _____ Children have singing as a hobby.
c) 2 children likes _____ hobby.
d) _____ children likes Stamp collection than singing,
Answer:
a) 8 Children have Reading as a hobby.
b) 3 Children have singing as a hobby.
c) 2 children likes Dancing hobby.
d) 4 children likes Stamp collection than singing, (\(7 - 3 = 4\))
In simple words: Read the height of each bar on the vertical axis to find the number of children for each hobby.

Exam Tip: Match the category on the horizontal axis with the corresponding height on the vertical axis.