Statistical Representation part (2)

STEM AND LEAF

A Stem and Leaf Plot is a special table where each data value is split into a ‘stem’ (the first digit or digits) and a ‘leaf’ (usually the last digit). The stem values are listed down, and the leaf values go right (or left) from the stem values.

Example 1:

Create a stem and leaf plot for this data:

96, 86, 61, 91, 75, 84, 94, 90, 70, 92, 100, 94

Answer:

First, put this data in order

61, 70, 75, 84, 86, 90, 91, 92, 94, 94, 96, 100

We will use 6, 7, 8, 9 and 10 as stems. The plot is displayed below:

Example 2:

This is the following numbers of ages people who attended FM’s gym. Use a Stem-and-Leaf Plot to Find Mean, Median, Mode and Range.

20, 40, 33, 25, 17, 26, 32, 23, 15, 37, 43, 20, 45, 29, 48, 29

Answer:

15, 17, 20, 20, 23, 25, 26, 29, 29, 32, 33, 37, 40, 43, 45, 48

We will use 6, 7, 8, 9 and 10 as stems. The plot is displayed below:

Mean:

The mean is the average of a set of data.

= 482

Median:

The median is the middle number of a set of data.

15, 17, 20, 20, 23, 25, 26, 29, 29, 32, 33, 37, 40, 43, 45, 48

=29

Mode:

The mode is the number that occurs the most in a set of data.

15, 17, 20, 20, 23, 25, 26, 29, 29, 32, 33, 37, 40, 43, 45, 48

=20, 29

Range:

The range is the difference between the smallest value and the greatest value.

15, 17, 20, 20, 23, 25, 26, 29, 29, 32, 33, 37, 40, 43, 45, 48

48-15

=33