Question

here are the hottest recorded temperatures (in °f) for each of sixteen cities throughout north america.
temperatures
(in °f)
99 106 108 107 102 103 105 109
104 94 110 112 94 93 101 110
(a) complete the grouped frequency distribution for
the data. (note that the class width is 4.)
temperatures
(in °f)
frequency
93 to 96
97 to 100
101 to 104
105 to 108
109 to 112
(b) construct a histogram for the data.
frequency
5
4
3
2
1
0
93 to 96 97 to 100 101 to 104 105 to 108 109 to 112
temperatures (in °f)

Explanation:

Step1: Count 93 - 96

Temperatures: 93, 94, 94. So count = 3.

Step2: Count 97 - 100

Temperature: 99. So count = 1.

Step3: Count 101 - 104

Temperatures: 101, 102, 103, 104. So count = 4.

Step4: Count 105 - 108

Temperatures: 105, 106, 107, 108. So count = 4.

Step5: Count 109 - 112

Temperatures: 109, 110, 110, 112. So count = 4.

Answer:

(a)

Temperatures (in °F)	Frequency
97 to 100	1
101 to 104	4
105 to 108	4
109 to 112	4

(b) For the histogram:

• 93 to 96: bar height 3
• 97 to 100: bar height 1
• 101 to 104: bar height 4
• 105 to 108: bar height 4
• 109 to 112: bar height 4