Esmé runs a day-tour business in Amsterdam

MATHEMATICS · Multi-part · GCSE · Mathematics · Statistics · Statistics

Problem

Esmé runs a day-tour business in Amsterdam. She wants to offer a family package that includes charges for two adults and their children. To investigate the number of children to include in the package, she asks

30

randomly selected customers with children how many children they have. Their responses are:


$2$	$2$	$2$	$3$	$4$	$1$	$1$	$2$	$1$	$1$	$1$	$2$	$2$	$3$	$4$
$1$	$4$	$4$	$2$	$3$	$1$	$1$	$1$	$2$	$1$	$1$	$2$	$2$	$3$	$2$

(1) Calculate the mean, median, and modal number of children per family. (2) Is the mode a useful statistic in this case? (3) Suggest how many children Esmé should include in the package, giving reasons for your answer.

Related theory

Comparing Distributions
Measures of Center
Summary Statistics
Mean and median
Statistics

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$2$	$2$	$2$	$3$	$4$	$1$	$1$	$2$	$1$	$1$	$1$	$2$	$2$	$3$	$4$
$1$	$4$	$4$	$2$	$3$	$1$	$1$	$1$	$2$	$1$	$1$	$2$	$2$	$3$	$2$


$2$	$2$	$2$	$3$	$4$	$1$	$1$	$2$	$1$	$1$	$1$	$2$	$2$	$3$	$4$
$1$	$4$	$4$	$2$	$3$	$1$	$1$	$1$	$2$	$1$	$1$	$2$	$2$	$3$	$2$


$2$	$2$	$2$	$3$	$4$	$1$	$1$	$2$	$1$	$1$	$1$	$2$	$2$	$3$	$4$
$1$	$4$	$4$	$2$	$3$	$1$	$1$	$1$	$2$	$1$	$1$	$2$	$2$	$3$	$2$