Question

the following is the average daily temperature for portland, oregon for the month of july: 70 72 90 86 83 82 93 81 94 85 85 73 82 94 82 74 80 85 93 70 76 87 91 70 72 86 79 79 90 94 (a) complete the frequency distribution for the data. (use 4 decimal places when applicable) temperature frequency relative frequency cumulative frequency cumulative relative frequency 70 - 74 75 - 79 80 - 84 85 - 89 90 - 94 question help: video submit question

Explanation:

Step1: Count frequency

Count the number of data - points in each temperature range.
For 70 - 74: 70, 72, 73, 74, 70, 72, 70, frequency = 7.
For 75 - 79: 76, 79, 79, frequency = 3.
For 80 - 84: 83, 82, 82, 80, 82, frequency = 5.
For 85 - 89: 86, 85, 85, 85, 87, frequency = 5.
For 90 - 94: 90, 93, 94, 94, 93, 91, 90, 94, frequency = 8.

Step2: Calculate relative frequency

Relative frequency = $\frac{\text{Frequency}}{\text{Total frequency}}$. Total frequency = 7 + 3+5 + 5+8=28.
For 70 - 74: $\frac{7}{28}=0.2500$.
For 75 - 79: $\frac{3}{28}\approx0.1071$.
For 80 - 84: $\frac{5}{28}\approx0.1786$.
For 85 - 89: $\frac{5}{28}\approx0.1786$.
For 90 - 94: $\frac{8}{28}\approx0.2857$.

Step3: Calculate cumulative frequency

Cumulative frequency is the running total of frequencies.
For 70 - 74: 7.
For 75 - 79: 7 + 3=10.
For 80 - 84: 10 + 5=15.
For 85 - 89: 15 + 5=20.
For 90 - 94: 20 + 8=28.

Step4: Calculate cumulative relative frequency

Cumulative relative frequency is the running total of relative frequencies.
For 70 - 74: 0.2500.
For 75 - 79: 0.2500+0.1071 = 0.3571.
For 80 - 84: 0.3571+0.1786 = 0.5357.
For 85 - 89: 0.5357+0.1786 = 0.7143.
For 90 - 94: 0.7143+0.2857 = 1.0000.

Answer:

Temperature	Frequency	Relative Frequency	Cumulative Frequency	Cumulative Relative Frequency
75 - 79	3	0.1071	10	0.3571
80 - 84	5	0.1786	15	0.5357
85 - 89	5	0.1786	20	0.7143
90 - 94	8	0.2857	28	1.0000