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Mean, Median and Mode · Question 23 of 67

The distances covered by 20 delivery riders on one morning are grouped below.

Question 23

EasyOriginal question
Distance (km)Number of riders
0–103
10–205
20–308
30–404

The distances covered by 20 delivery riders on one morning are grouped below. Using class marks, what is the mean distance?

Options for question 23

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Class marks: 5, 15, 25, 35.

  2. ∑fx=15+75+200+140=430\sum fx = 15 + 75 + 200 + 140 = 430.

  3. Mean = 43020=21.5\frac{430}{20} = 21.5 km.

Worth noting

16.5 km uses the lower class limits and 26.5 km the upper ones. 20 km averages the four class marks without the frequencies.

Concept
Direct-method mean with class marks
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.