The following table gives the enrollment in Higher Secondary Schools in 1978.…
2024
The following table gives the enrollment in Higher Secondary Schools in 1978. Study the table carefully and answer these questions.
What is the approximate percentage of schools, where the enrollment was above 79 but below 180?
- A.
56.13
- B.
56.39
- C.
57.48
- D.
55.29
Show answer & explanation
Correct answer: B
Concept: To find what percentage of items fall within a given range in a grouped frequency table, first identify every class interval that lies wholly inside that range, then sum the frequencies of exactly those intervals, divide by the table's overall total, and multiply by 100.
The range "above 79 but below 180" covers the enrollment brackets 80-99, 100-119, 120-139, 140-159, and 160-179.
Read the number of schools in each of these brackets from the table: 717, 681, 612, 540, and 517.
Add these five counts: 717 + 681 + 612 + 540 + 517 = 3067.
Divide by the table's stated total of 5439 schools and multiply by 100: (3067 / 5439) × 100 ≈ 56.39%.
Cross-check: 56% of 5439 is about 3046 and 57% of 5439 is about 3100 — 3067 sits between these, confirming that approximately 56.39% is the right order of magnitude.
So the approximate percentage of schools with enrollment above 79 but below 180 is 56.39%, matching this option.