Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

here are the hottest recorded temperatures (in °f) for each of eighteen…

Question

here are the hottest recorded temperatures (in °f) for each of eighteen cities throughout north america.
temperatures (in °f)
104 117 104 110 108 116
115 96 103 107 95 99
109 114 100 112 118 113
(a) complete the grouped frequency - distribution for the data. (note that the class width is 6.)
temperatures (in °f) frequency
95 to 100
101 to 106
107 to 112
113 to 118
(b) construct a histogram for the data.
frequency

7
6
5
4
3
2
1
0
95 to 100 101 to 106 107 to 112 113 to 118
temperatures (in °f)

Explanation:

Step1: Count data in 95 - 100

The values in the range 95 - 100 are 96, 95, 99, 100. So the frequency is 4.

Step2: Count data in 101 - 106

The values in the range 101 - 106 are 104, 104, 103. So the frequency is 3.

Step3: Count data in 107 - 112

The values in the range 107 - 112 are 110, 107, 109, 112. So the frequency is 4.

Step4: Count data in 113 - 118

The values in the range 113 - 118 are 117, 116, 115, 114, 118, 113. So the frequency is 6.

Answer:

Temperatures (in °F)Frequency
101 to 1063
107 to 1124
113 to 1186

For the histogram, you would draw bars with heights corresponding to the frequencies above for each temperature - range interval on the x - axis.