This page deals with one-variable statistics. You need to know how to represent the data in tables and diagrams (histograms, cumulative frequency graphs and box and whisker diagrams), as well measure the data using measures of central tendency (mean, median and mode) and dispersion (interquartile range, standard deviation and variance). It is not a difficult topic, but attention to detail is required. It is recommended that you work through the revision notes carefully.
On this page, you should learn about
- frequency distributions
- histograms
- cumulative frequency graphs
- mean, median,mode
- quartiles, percentiles
- range, interquartile range, standard deviation and variance
- box and whisker diagrams
- outliers
- the effect of constant changes to mean and standard deviation
Print from here
Here is a quiz about some definitions in statistics
START QUIZ!
Here is a quiz about boxplots, cumulative frequency and histograms
START QUIZ!
Here is a quiz about mean and standard deviation
START QUIZ!
During week 1, a group of 60 athletes were asked to record the amount of water, X litres, that they consumed in that week. Here are the results
\(\sum x=1470\)
\(\sum x^2=36\ 132.6\)
Calculate
a. the mean of X
b. the standard deviation of X
During week 2, as part of a programme to improve their performance, the athletes were instructed to drink 10% more water. Assuming that they do this, find for week 2
c. the new mean
d. the new standard deviation
Hint
Full Solution
How much of Representing and Measuring Data have you understood?