Question

find the range of the data set below.
9, 9, 11, 12, 15, 17, 17, 20, 20, 21, 22

question 4

find the range of the data set below.
64, 69, 73, 76, 77, 77, 87, 89

question 5

find the range of the data set below.
26, 33, 43, 25, 35, 46, 37, 31, 28, 37

Explanation:

Step1: Find the maximum and minimum values

For the first data set \(9,9,11,12,15,17,17,20,20,21,22\), the maximum value \(M_1 = 22\) and the minimum value \(m_1=9\).
For the second data set \(64,69,73,76,77,77,87,89\), the maximum value \(M_2 = 89\) and the minimum value \(m_2 = 64\).
For the third data set \(26,33,43,25,35,46,37,31,28,37\), first sort it: \(25,26,28,31,33,35,37,37,43,46\). The maximum value \(M_3=46\) and the minimum value \(m_3 = 25\).

Step2: Calculate the range

The formula for the range \(R\) of a data set is \(R = M - m\) (where \(M\) is the maximum value and \(m\) is the minimum value).
For the first data set: \(R_1=M_1 - m_1=22 - 9=13\).
For the second data set: \(R_2=M_2 - m_2=89 - 64 = 25\).
For the third data set: \(R_3=M_3 - m_3=46 - 25=21\).

Answer:

13
25
21