Question

the following is the average daily temperature for portland, oregon for the month of july:
85 73 74 87 85 83
80 91 86 93 74 71
79 79 80 86 71 84
78 81 88 72 93 80
86 78 83 79 87 73
(a) complete the frequency distribution for the data. (use 4 decimal places when applicable)

temperature	frequency	relative frequency
70 - 74
75 - 79
80 - 84
85 - 89
90 - 94

(b) which of the following is the correct histogram for this data?

Explanation:

Step1: Count frequency for 70 - 74

Count the number of data points in the 70 - 74 range: 73, 74, 74, 71, 71, 72, 73. So the frequency is 7.

Step2: Calculate relative frequency for 70 - 74

There are a total of 30 data - points. The relative frequency is $\frac{7}{30}\approx0.2333$.

Step3: Count frequency for 75 - 79

Count the number of data points in the 75 - 79 range: 79, 79, 78, 78, 79. So the frequency is 5.

Step4: Calculate relative frequency for 75 - 79

The relative frequency is $\frac{5}{30}\approx0.1667$.

Step5: Count frequency for 80 - 84

Count the number of data points in the 80 - 84 range: 80, 83, 80, 81, 80, 84. So the frequency is 6.

Step6: Calculate relative frequency for 80 - 84

The relative frequency is $\frac{6}{30}=0.2000$.

Step7: Count frequency for 85 - 89

Count the number of data points in the 85 - 89 range: 85, 87, 85, 86, 86, 88, 87. So the frequency is 7.

Step8: Calculate relative frequency for 85 - 89

The relative frequency is $\frac{7}{30}\approx0.2333$.

Step9: Count frequency for 90 - 94

Count the number of data points in the 90 - 94 range: 91, 93, 93. So the frequency is 3.

Step10: Calculate relative frequency for 90 - 94

The relative frequency is $\frac{3}{30}=0.1000$.

Temperature	Frequency	Relative Frequency
75 - 79	5	0.1667
80 - 84	6	0.2000
85 - 89	7	0.2333
90 - 94	3	0.1000

Since part (b) does not have the options for the histogram shown, we can't answer that part. But for part (a):

Answer:

Temperature	Frequency	Relative Frequency
75 - 79	5	0.1667
80 - 84	6	0.2000
85 - 89	7	0.2333
90 - 94	3	0.1000