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Mean, Median and Mode · Question 19 of 67

Using the village survey, what is the mean number of children per household?

Question 19

EasyOriginal question

A health worker recorded the number of children in each of 50 households of a village.

Number of childrenNumber of households
06
114
218
38
44

Using the village survey, what is the mean number of children per household?

Options for question 19

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Multiply each value by its frequency: 0+14+36+24+16=900 + 14 + 36 + 24 + 16 = 90.

  2. Total households = 6+14+18+8+4=506 + 14 + 18 + 8 + 4 = 50.

  3. Mean = 9050=1.8\frac{90}{50} = 1.8.

Worth noting

2 is the plain average of the values 0 to 4, ignoring how many households have each. 3.6 divides 90 by 25, half the households, and 18 divides 90 by the 5 rows instead of by the 50 households.

Concept
Mean of a discrete frequency distribution: Σfx ÷ Σf
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.