Question

number of miles
17 12 3 15 11
14 14 20 9 14
13 18 9 10 17
send data to calculator
(a) complete the grouped frequency distribution for the data. (note that the class width is 5.)
number of miles frequency
0.5 to 5.5
5.5 to 10.5
10.5 to 15.5
15.5 to 20.5
(b) using the classes from part (a), draw the frequency polygon for the data. note that you can add or remove classes from the figure. label each class with its midpoint.
frequency
0

Explanation:

Step1: Count data in each class

• For class \(0.5 - 5.5\): The number \(3\) is in this class. So frequency \(f_1=1\).
• For class \(5.5 - 10.5\): The numbers \(9,9,10\) are in this class. So frequency \(f_2 = 3\).
• For class \(10.5 - 15.5\): The numbers \(11,12,13,14,14,14,15\) are in this class. So frequency \(f_3=7\).
• For class \(15.5 - 20.5\): The numbers \(17,17,18,20\) are in this class. So frequency \(f_4 = 4\).

Answer:

Number of miles	Frequency
\(5.5 - 10.5\)	\(3\)
\(10.5 - 15.5\)	\(7\)
\(15.5 - 20.5\)	\(4\)