CLASS 4 MATHS WORKSHEET LESSON 14

Data Handling (Preparatory Stage Math)

Concepts • Computational Skills • Problem-Solving & Modeling • 10 questions each • 40% Easy, 40% Average, 20% Challenging • One toggle shows Answer + Solution

Worksheet A: Concepts

Easy

Q1. To find the most liked subject, which question is better: “Which subject do you like?” or “Which subject do you like the most?”

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Answer

“Which subject do you like the most?”

Solution

Adding “the most” makes responses comparable for a single favourite, which helps identify the mode category clearly.

Easy

Q2. In the class code M, L, T, A, P.E., what do M and P.E. stand for when recording favourites?

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Answer

M = Mathematics; P.E. = Physical Education.

Solution

Short labels keep tallies quick and consistent while preserving category meaning.

Easy

Q3. What does a tally group of four vertical lines with one diagonal slash represent in counting responses?

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Answer

A set of five.

Solution

Bundling 5 speeds up counting and reduces recounting errors in frequencies.

Easy

Q4. In a picture chart where one icon equals 5 children, how many children do 3 icons show for a subject’s count?

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Answer

15 children.

Solution

Multiply the icon value (5) by the number of icons (3) to read the frequency.

Average

Q5. From a list of 45 codes (M, L, T, A, P.E.), what does the total of 45 represent in data-handling terms for this class question?

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Answer

Sample size (total responses).

Solution

The number of coded entries equals the number of children who answered, which is the frequency total.

Average

Q6. Which is easier to understand: a long paragraph of codes (M, L, T, A, P.E.) or a table with subject and number of children? Why?

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Answer

The table is easier.

Solution

Tables organise frequencies clearly by category, reducing reading load and errors.

Average

Q7. In a pictograph where half an icon equals 2 children, what is the full icon value, and how many children do 2.5 icons show altogether for a category?

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Answer

Full icon = 4; 2.5 icons = 10 children.

Solution

Half is 2, so full is 4; multiply 4 by 2.5 to get 10 as the frequency.

Average

Q8. If Mathematics has 12 tallies and Languages has 9, which is most liked, and by how many more children than the other in this pairwise comparison?

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Answer

Mathematics; by 3 more children.

Solution

Compare frequencies directly: 12 − 9 = 3 indicates the difference in preferences.

Challenging

Q9. A subject table shows ties: Arts 10, Languages 10, P.E. 8, Maths 12, T.W.A.U. 5. Which is the mode, and how do ties affect deciding “the most” in this set?

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Answer

Mathematics (12) is mode; ties matter only if they reach the highest frequency.

Solution

The category with the largest frequency is the single mode; equal smaller counts don’t change it.

Challenging

Q10. Suggest one change to a question that mixes two ideas (“Which subjects do you like and play in school?”) to make it clear for a single favourite subject survey.

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Answer

Ask only “Which subject do you like the most?”

Solution

Remove extra parts; precise wording yields one clear category per child for counting.

Worksheet B: Computational Skills

Easy

Q1. If each pictograph icon equals 5 children, compute totals: 2 icons = __; 5 icons = __; 7 icons = __ children (fill three numbers).

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Answer

10; 25; 35.

Solution

Multiply icon count by 5 each time to read the frequency correctly.

Easy

Q2. Complete a frequency from tallies: ||||/ ||||/ ||| equals how many children in total for this subject (count groups of five plus singles)?

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Answer

13 children.

Solution

Two groups of five = 10, plus three singles = 13 in all.

Easy

Q3. Convert codes to a quick table: M M L T A P.E. M L A. How many Ms are there, and which category occurs twice?

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Answer

M occurs 3; L occurs 2 (also A occurs 2, acceptable).

Solution

Tally each code; multiple categories can tie at 2 in a short list.

Easy

Q4. A pictograph shows 3 full icons and 1 half-icon, with 1 icon = 4 children. What is the total frequency for that category (compute exactly)?

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Answer

14 children.

Solution

3×4 = 12; half-icon = 2; total 12 + 2 = 14 children.

Average

Q5. From a 45-response list of M, L, T, A, P.E., if Mathematics has 12 and P.E. has 9, how many responses remain for L, T, A together (write the remainder only)?

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Answer

24 responses.

Solution

45 − (12 + 9) = 24 must belong to the remaining three categories combined.

Average

Q6. In a “gola” chart, Blue = 8, Red = 5, Green = 6, Yellow = 4. Which colour is most and which is least? Write both in one line separated by a comma only once (Most — __, Least — __).

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Answer

Most — Blue, Least — Yellow.

Solution

Compare the four frequencies; the largest is most, the smallest is least directly from the counts.

Average

Q7. A table shows: M=11, L=9, T=7, A=10, P.E.=8. How many more like M than T, and how many more like A than P.E.? Write both differences separated by a comma (__, __).

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Answer

4, 2.

Solution

11−7 = 4; 10−8 = 2; compute pairwise differences to compare preferences.

Average

Q8. A pictograph uses 1 icon = 2 golas. If boys ate 9 icons of Red and girls ate 7 icons of Red, how many Red golas were eaten in total (write one number only)?

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Answer

32.

Solution

(9 + 7) icons = 16 icons; 16×2 = 32 golas in total for Red.

Challenging

Q9. A three-day fair tally shows Fruit Chaats: Day1=12, Day2=15, Day3=9; Sandwiches: Day1=10, Day2=8, Day3=14. On which day were most sandwiches sold, and which item had the highest sale on Day 2 (write both answers separated by a comma only once)?

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Answer

Day 3 for sandwiches; Fruit Chaats on Day 2.

Solution

Sandwiches: max at 14 (Day3); Day2 item comparison: 15 vs 8 → Fruit Chaats higher.

Challenging

Q10. A class survey: 8 play only Chess, 6 only Cricket, 5 both, 3 neither. How many play at least one of the two games (write the total only once)?

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Answer

19.

Solution

Add only-chess + only-cricket + both = 8 + 6 + 5 = 19; exclude “neither.”

Worksheet C: Problem-Solving & Modeling

Easy

Q1. Make a clean table with two columns: Subject and Number of Children, for counts M=5, L=7, T=3, A=6, P.E.=4, then state which is most liked (write the subject name only once after thinking).

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Answer

Languages.

Solution

The highest frequency is 7 for Languages; a simple table reveals the mode category quickly.

Easy

Q2. Choose an icon value for a pictograph so that 12 children can be shown by whole icons. Pick from {1, 2, 3, 4, 5}. Which values work (list all that divide 12)?

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Answer

1, 2, 3, 4.

Solution

Icon value must divide the total to avoid fractions: 1, 2, 3, 4 divide 12; 5 does not.

Easy

Q3. A mixed list: L, M, A, T, L, P.E., A, A. Which category is least common in this sample, and how many does it have (state both in one short phrase)?

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Answer

T least with 1 (tie with P.E. and M also 1 each acceptable).

Solution

Count each code; several categories may tie at the least frequency in small samples.

Easy

Q4. If each half-icon shows 1 child and a full icon shows 2, how many children are shown by 4 full icons and 3 half-icons (compute the total only once)?

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Answer

11.

Solution

4×2 = 8; 3×1 = 3; total 8 + 3 = 11 children represented.

Average

Q5. Convert the long code line “M, A, P.E., A, T, M, A, P.E., P.E., T, … (totals known: M=11, A=9, P.E.=10, T=8, L=7)” into a sentence comparing most and least. Write “Most — __; Least — __.” once clearly from the totals given.

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Answer

Most — Mathematics; Least — Languages.

Solution

Use the final category totals, not the raw list order, to decide mode and minimum.

Average

Q6. A boys–girls table for golas shows Boys: Red=6, Blue=4, Green=3; Girls: Red=5, Blue=6, Green=4. Which colour is most eaten by boys, and which by girls (write both colours separated by a comma)?

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Answer

Boys — Red; Girls — Blue.

Solution

Pick the largest frequency within each group column to compare preferences by gender.

Average

Q7. In a fair’s pictograph: Day1=10 icons, Day2=8 icons, Day3=12 icons, with 1 icon = 2 items. Which day has the highest total and what is that total (give one day and one number only)?

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Answer

Day 3, 24.

Solution

12 icons × 2 = 24 items is the largest among the three days shown.

Average

Q8. If 45 children were surveyed and L + T + A = 22 and P.E. = 9, how many liked Mathematics (write one number only, assuming one favourite per child)?

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Answer

14.

Solution

Sum known groups 22 + 9 = 31; remaining 45 − 31 = 14 for Mathematics.

Challenging

Q9. Two surveys use different icon scales: Survey A uses 1 icon = 4; Survey B uses 1 icon = 5. Both show 6 icons for Mathematics. Explain why direct icon comparison can mislead and state which survey shows more children for Mathematics (write survey name only after the explanation sentence).

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Answer

Icons can stand for different quantities; Survey B shows more.

Solution

Same icon count hides different values; 6×5=30 is larger than 6×4=24 in total children.

Challenging

Q10. A combined boys–girls table: Boys (Chess-only=7, Cricket-only=5, Both=3, Neither=2); Girls (Chess-only=6, Cricket-only=7, Both=2, Neither=1). Who plays “both” more, and by how many (write group and difference only once)?

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Answer

Boys, by 1.

Solution

Boys both=3 vs girls both=2; compare the frequencies to find the difference.

Two best activities

Activity 1: Class Vote → Tally → Table → Pictograph

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Answer

Transform live class votes from tallies to a table and then to a pictograph with a clear icon value.

Solution

Pose a single-choice question (e.g., favourite subject). Record tallies on the board (bundles of 5), convert to a frequency table, then draw a pictograph with 1 icon = 2 children. Learners check that totals match at every step and identify most/least and differences using both table and pictograph representations to strengthen data sense.

Activity 2: Gola Stand Data Challenge (Boys vs Girls)

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Answer

Collect real counts of chosen “gola” colours, split by boys/girls, and compare using a two-row table and a stacked pictograph.

Solution

Assign colours (Red, Blue, Green, Yellow). Each child picks one colour. Make a two-row table (Boys, Girls) and tally per colour. Convert to a side-by-side or stacked pictograph (1 icon = 1 child for clarity). Ask which colour is most/least overall and which is most for boys/girls; discuss how icon scales and neat labelling make comparisons reliable.