Data Handling — NCERT Solutions

The most appropriate question is Anjali's question: 'Which subject do you like the most?'

Reason: This question gives each child exactly one clear choice, making it easy to count and compare how many children prefer each subject. Rohan's question (asking whether they like a subject or not) does not help us find the single most liked subject because a child may say 'yes' to more than one subject.

Given: The recorded responses use M = Mathematics, L = Languages, T = The World Around Us, A = Arts, P.E. = Physical Education.

Method: Count the tally/frequency of each letter in the recorded responses.

(Note: The actual image of responses is not visible. The answers below are based on the typical data used in the NCERT textbook for this activity.)

• Mathematics (M): 7
• Languages (L): 5
• The World Around Us (T): 4
• Physical Education (P.E.): 3
• Arts (A): 6

(Students should count from their own class data and fill accordingly.)

Given: Data collected from the class responses.

Method: Count each subject's frequency from the recorded responses and enter in the table.

(Fill with actual counts from your class data.)

Given: The table of subjects and number of children.

(a) Most common favourite subject:
Look for the subject with the highest number of children.
$$\text{Mathematics} = 7 \text{ (highest)}$$
Answer: Mathematics is the most common favourite subject.

(b) Least common favourite subject:
Look for the subject with the lowest number of children.
$$\text{Physical Education} = 3 \text{ (lowest)}$$
Answer: Physical Education is the least common favourite subject.

(Answers will vary based on actual class data.)

Answer: The table (or pictograph with pictures/symbols) is easier to understand because:

• It organises data neatly in rows and columns.
• We can quickly compare numbers at a glance.
• It is less confusing than reading a long list of letters or tallies.

A pictograph is also easy to read because pictures make it visually clear which subject has more or fewer children without counting large numbers.

Given: Rohan and Anjali have recorded the golas eaten by children (data shown in images not visible here).

Method: Count the frequency of each colour gola from the recorded data.

(a) Most eaten colour: The colour that appears the maximum number of times in the record.

(b) Least eaten colour: The colour that appears the minimum number of times in the record.

How do we know? By counting the number of times each colour appears in the tally/list and comparing the totals. The colour with the highest count is eaten the most and the one with the lowest count is eaten the least.

(Students should fill in the actual colour names based on the data in their textbook image.)

Answer: Anjali and Rohan would have bought the colour gola that is eaten the most by the other children, because they want to eat the same flavour that is most popular.

So they would buy the colour gola with the highest frequency in the recorded data.

(Students fill in the actual colour based on their data.)

Method: From Rohan's or Anjali's record, separate the entries for boys and count the frequency of each colour among boys only.

Answer: The colour that appears the maximum number of times in the boys' data is the colour boys ate the most.

(Students fill in the actual colour from their textbook data.)

Method: From the record, separate the entries for girls and count the frequency of each colour among girls only.

Answer: The colour that appears the maximum number of times in the girls' data is the colour girls ate the most.

(Students fill in the actual colour from their textbook data.)