Question

Among the given schools, the school with the highest proportion of students failing in Chemistry out of the total number of students failing is \underline{\hspace{1cm}. For that school, the number of students failing in Physics is approximately \underline{\hspace{1cm}}% of the total failed students.}

Hint:

When reading a stacked bar chart, the value of a specific segment is the difference between the top of its segment and the top of the segment below it. The top of the highest segment represents the total for that bar.

Answer 1

Step 1: Extract data from the stacked bar chart. We read the number of failures for each subject by looking at the size of its segment in the stack.

KV: Physics = 9, Chemistry = 11 - 9 = 2, Mathematics = 17 - 11 = 6. Total = 17.
AB: Physics = 5, Chemistry = 12 - 5 = 7, Mathematics = 15 - 12 = 3. Total = 15.
PC: Physics = 10, Chemistry = 15 - 10 = 5, Mathematics = 17.5 - 15 = 2.5. Total = 17.5.
AD: Physics = 5, Chemistry = 10 - 5 = 5, Mathematics = 19 - 10 = 9. Total = 19.
BL: Physics = 0, Chemistry = 9 - 0 = 9, Mathematics = 10 - 9 = 1. Total = 10.
Step 2: Find the school with the highest proportion of Chemistry failures. We calculate the proportion (Chemistry failures / Total failures) for each school.

KV: \( \frac{2}{17} \approx 11.8% \)
AB: \( \frac{7}{15} \approx 46.7% \)
PC: \( \frac{5}{17.5} \approx 28.6% \)
AD: \( \frac{5}{19} \approx 26.3% \)
BL: \( \frac{9}{10} = 90% \)
The school with the highest proportion is BL.
Step 3: Calculate the percentage of Physics failures for school BL. For school BL:

Number of students failing in Physics = 0.
Total number of failed students = 10.
\[ \text{Percentage} = \frac{\text{Physics failures}}{\text{Total failures}} \times 100% = \frac{0}{10} \times 100% = 0% \] Step 4: Final Answer
The school is BL, and the percentage is 0.