MATHEMATICS · Multi-part · AP · AP Statistics · Exploring One-Variable Data · Exploring One-Variable Data
Problem
The following raw data is the daily rainfall, to the nearest millimetre, for a month:
3, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 7, 1, 1, 0, 3, 8, 0, 0, 0, 42, 21, 3, 0, 3, 1, 0, 0
(1) Use technology to find the mean, median, and mode of the data.
(2) Explain why the median is not the most suitable measure of centre for this set of data.
(3) Explain why the mode is not the most suitable measure of centre for this set of data.
(4) Identify the outliers in this data set.
(5) The outliers are genuine pieces of data and not the result of recording errors. Should they be removed before calculating statistics?