Data Handling and Presentation | IT

Question 14

  1. The number of girl students in each class of a school is depicted by the pictograph:

Observe this pictograph and answer the following questions:

a. Which class has the least number of girl students?

b. What is the difference between the number of girls in Classes 5 and 6?

c. If two more girls were admitted in Class 2, how would the graph change?

d. How many girls are there in Class 7?

Question diagram 1
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Solution
Understand the Question
  • Pictograph Key:
    • 11 full symbol =4 girls= 4\text{ girls}
    • 11 half symbol =2 girls= 2\text{ girls}
  • To find the total number of girls in any class, multiply the number of full symbols by 44 and add 22 for a half symbol.
ClassSymbolsNumber of GirlsClass 17 full7×4=28Class 24 full+1 half16+2=18Class 35 full5×4=20Class 43 full+1 half12+2=14Class 52 full+1 half8+2=10Class 64 full4×4=16Class 73 full3×4=12Class 81 full+1 half4+2=6\begin{array}{|c|c|c|} \hline \textbf{Class} & \textbf{Symbols} & \textbf{Number of Girls} \\ \hline \text{Class 1} & 7\text{ full} & 7 \times 4 = 28 \\ \hline \text{Class 2} & 4\text{ full} + 1\text{ half} & 16 + 2 = 18 \\ \hline \text{Class 3} & 5\text{ full} & 5 \times 4 = 20 \\ \hline \text{Class 4} & 3\text{ full} + 1\text{ half} & 12 + 2 = 14 \\ \hline \text{Class 5} & 2\text{ full} + 1\text{ half} & 8 + 2 = 10 \\ \hline \text{Class 6} & 4\text{ full} & 4 \times 4 = 16 \\ \hline \text{Class 7} & 3\text{ full} & 3 \times 4 = 12 \\ \hline \text{Class 8} & 1\text{ full} + 1\text{ half} & 4 + 2 = 6 \\ \hline \end{array}

a. Which class has the least number of girl students?

Step 1 · Identify the Class with Minimum Girls

Diagram 1

Comparing the number of girls across all classes: 28,18,20,14,10,16,12,628, 18, 20, 14, 10, 16, 12, 6

The minimum count is 66, which corresponds to Class 8 (with only 1121\frac{1}{2} symbols).

Answer

a. Class 8

b. What is the difference between the number of girls in Classes 5 and 6?

Step 1 · Calculate the Difference

From the pictograph:

  • Number of girls in Class 6 =4×4=16= 4 \times 4 = 16
  • Number of girls in Class 5 =2×4+2=10= 2 \times 4 + 2 = 10

Difference=16−10=6\text{Difference} = 16 - 10 = 6

Answer

b. 6 girls6\text{ girls}

c. If two more girls were admitted in Class 2, how would the graph change?

Step 1 · Determine the New Symbol Count for Class 2

Current number of girls in Class 2 =18= 18.

If 22 more girls are admitted: New total=18+2=20\text{New total} = 18 + 2 = 20

Since 11 full symbol =4 girls= 4\text{ girls}: Number of symbols=204=5\text{Number of symbols} = \dfrac{20}{4} = 5

Thus, the half symbol in Class 2 is replaced by a full symbol, making a total of 55 full symbols.

Answer

c. Class 2 would show 55 full symbols (the half symbol becomes a full symbol).

d. How many girls are there in Class 7?

Step 1 · Calculate Girls in Class 7

Class 7 has 33 full symbols.

Total girls=3×4=12\text{Total girls} = 3 \times 4 = 12

Answer

d. 12 girls12\text{ girls}

Common Mistakes
  • Ignoring the Key: Counting each symbol as 11 girl instead of multiplying by 44.
  • Half-Symbol Error: Counting a half symbol as 11 instead of half of 44 (which is 22).

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Q14
  1. The number of girl students in each class of a school is depicted by the pictograph:

Observe this pictograph and answer the following questions:

a. Which class has the least number of girl students?

b. What is the difference between the number of girls in Classes 5 and 6?

c. If two more girls were admitted in Class 2, how would the graph change?

d. How many girls are there in Class 7?

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