CBSE Class 6 Mathematics Data Handling Worksheet Set 02

Question 1. The given bar graph shows the number of vehicles passing through a road crossing in Delhi at different time intervals on a particular day. Ravi hates to drive in heavy traffic. During which hour should Ravi avoid to drive?
(a) 8-9 h
(b) 9-10 h
(c) 10-11 h
(d) 13-14 h
Answer: (b) 9-10 h
Looking at the first bar graph, the tallest bar corresponds to the time interval 9-10 h, which has 400 vehicles (the maximum number among the given options). Thus, traffic is heaviest during this hour.
In simple words: Ravi should avoid driving when the bar is highest, which is between 9 and 10 hours.

Exam Tip: In bar graphs representing traffic or frequency, always look for the tallest bar to identify the maximum value or peak time.

Question 2. The bar given above shows the number of students in grade 4, 5, 6, 7 of a particular school. Which grade has the least number of students?
(a) 4
(b) 5
(c) 6
(d) 7
Answer: (b) 5
From the second bar graph, the heights of the bars representing the number of students in each grade are as follows:
Grade 4 = 30 students
Grade 5 = 25 students
Grade 6 = 35 students
Grade 7 = 40 students
The shortest bar is for grade 5 with 25 students.
In simple words: Grade 5 has the shortest bar, meaning it has the least number of students.

Exam Tip: Read the y-axis values carefully and locate the shortest bar when asked for the minimum or least value.

Question 3. The graph in the given figure shows the number of trees planted during four consecutive years in a particular city. As seen in the given graph the maximum number of trees were planted in the year
(a) 2003
(b) 2004
(c) 2005
(d) 2006
Answer: (d) 2006
Observing the bar heights for each year:
2003 = 400 trees
2004 = 550 trees
2005 = 500 trees
2006 = 600 trees
The highest bar is in 2006 with 600 trees planted.
In simple words: The tallest bar represents the year 2006, which has the maximum number of trees.

Question 4. Given below are the ages of 25 students of class VIII in a school. Prepare a tally chart from the given data.
15 16 16 14 17 17 16 15 15 16 16 17 15
16 16 14 16 15 16 16 15 14 14 15 15
Answer:
To prepare a tally chart, we first list the distinct ages in ascending order, count their frequencies by tally marks, and write the total count.

In simple words: Count how many times each age appears and group them into bundles of five using tally marks.

Exam Tip: Always verify that the sum of all frequencies equals the total given number of observations (25 in this case).

Question 5. Form a frequency distribution table from the given data:
15 18 16 20 25 24 25 20 16 15 18 18 16
24 15 20 28 30 27 16 24 25 20 18 28 27
25 24 24 18 18 25 20 16 15 20 27 28 29
16
Answer:
Counting each distinct value from the given 40 observations and organizing them into a frequency distribution table:

In simple words: A frequency distribution table lists each unique number and counts how many times it appears in the data set.

Exam Tip: Cross-check your count by striking off numbers systematically from the raw data or summing all individual frequencies to match the total count.