Question

name date creating dot plots sheet 2 1) this data shows the number of books read in a month by a group of students. books read 3 5 1 4 9 7 5 3 6 10 0 9 4 2 6 5 3 6 5 2 4 1 a) use the data to complete the dot plot to show these results. b) complete the missing information in the table below: mode books read median books read range this data shows the height of a group of children in the soccer team.

Explanation:

Step1: Count the frequency of each value

First, count how many times each number of books read appears.

• \(0\): \(1\) time
• \(1\): \(2\) times
• \(2\): \(2\) times
• \(3\): \(3\) times
• \(4\): \(3\) times
• \(5\): \(4\) times
• \(6\): \(3\) times
• \(7\): \(1\) time
• \(9\): \(2\) times
• \(10\): \(1\) time

Step2: Find the mode

The mode is the value that appears most frequently. Here, the number \(5\) appears \(4\) times, more than any other number.

Step3: Find the median

First, sort the data: \(0,1,1,2,2,3,3,3,4,4,4,5,5,5,5,6,6,6,7,9,9,10\). There are \(n = 22\) data points. The median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th values. \(\frac{n}{2}=11\) and \(\frac{n}{2}+1 = 12\). The \(11\)th value is \(4\) and the \(12\)th value is \(5\). The median is \(\frac{4 + 5}{2}=4.5\)

Step4: Find the range

The range is calculated as \(R=\text{Max}-\text{Min}\). The maximum value is \(10\) and the minimum value is \(0\). So \(R=10 - 0=10\)

Answer:

Mode books read: \(5\)
Median books read: \(4.5\)
Range: \(10\)