The given histogram shows the heights of 232 students of an athletic club and their numbers. Study the histogram carefully and answer the questions that follows.
What is the average height (in cm) of 32 tallest students of the athletic club?
Express your answer correct to one place of decimal.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 164.4
The number of students of 160 - 165 cm = 20
The number of students of 165 - 170 cm = 12
Avg height = (160 + 165)/2 = 162.5
(165 + 170)/2 = 167.5
So, the average height = (20 × 162.5 + 12 × 167.5)/32 = 5260/32 = 164.375 ≈ 164.4