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Mean, Median and Mode · Question 21 of 67

In the homework-time table, which class contains the median?

Question 21

EasyOriginal question

A school recorded how long 50 students spent on homework one evening.

Time (minutes)Number of students
0–207
20–4011
40–6016
60–8010
80–1006

In the homework-time table, which class contains the median?

Options for question 21

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. n=50n = 50, so n÷2=25n \div 2 = 25.

  2. Cumulative frequencies: 7, 18, 34, 44, 50.

  3. The first cumulative frequency that reaches 25 is 34, which belongs to 40–60.

Worth noting

The median class is found from the cumulative frequency, not by picking the middle row or the row with the largest frequency (here those happen to coincide, but they often do not).

Concept
Locating the median class with cumulative frequency
Typical time
40 s
Your time
—
The rule this testsFrequency tables
Practise this chapter →

Ten questions from Mean, Median and Mode, at your own pace.

Practise this chapter →

Ten questions from Mean, Median and Mode, at your own pace.