Question 6 - A-Level Maths

Exam Board	OCR MEI
Module	S1 (Statistics 1)
Topic	Measures of Location and Spread
Type	Calculate statistics from grouped frequency table

6 In a survey, a sample of 44 fields is selected. Their areas ( \(x\) hectares) are summarised in the grouped frequency table.

Area \(( x )\)	\(0 < x \leqslant 3\)	\(3 < x \leqslant 5\)	\(5 < x \leqslant 7\)	\(7 < x \leqslant 10\)	\(10 < x \leqslant 20\)
Frequency	3	8	13	14	6

Calculate an estimate of the sample mean and the sample standard deviation.
Determine whether there could be any outliers at the upper end of the distribution.