Question

a) the shoe sizes of a batch of european tourists visiting the capitol are given below.
25, 47, 39, 45, 26, 46, 38, 29, 44, 38, 46, 24, 37, 46, 25
make a stem - and - leaf plot of the given data and answer the following questions.

key: 2|5=

1. which shoe size is worn by most of the tourists?
2. what is the maximum shoe size worn among the tourists?
3. how many tourists wear shoes below size 40?
4. what is the minimum shoe size worn among the tourists?
5. how many european tourists visited the capitol?

Explanation:

Step1: Sort the data

First, sort the given shoe - size data: \(24,25,25,26,29,37,38,38,39,44,45,46,46,46,47\)

Step2: Create the stem - and - leaf plot

The stems will be the tens digit and the leaves will be the units digit.
For stem \(2\): leaf \(4,5,5,6,9\)
For stem \(3\): leaf \(7,8,8,9\)
For stem \(4\): leaf \(4,5,6,6,6,7\)
The key \(2|5 = 25\)

Step3: Answer the questions

1. Mode (most frequent value):

The number \(46\) appears \(3\) times. So the shoe size worn by most of the tourists is \(46\)

1. Maximum value:

Looking at the sorted data \(24,25,25,26,29,37,38,38,39,44,45,46,46,46,47\), the maximum value is \(47\)

1. Count values less than \(40\):

Count the numbers with stem \(2\) and \(3\). There are \(5 + 4=9\) tourists who wear shoes below size \(40\)

1. Minimum value:

Looking at the sorted data, the minimum value is \(24\)

1. Count the total number of data points:

Count the number of values in \(24,25,25,26,29,37,38,38,39,44,45,46,46,46,47\). There are \(15\) European tourists who visited the Capitol

Answer:

1. \(46\)
2. \(47\)
3. \(9\)
4. \(24\)
5. \(15\)