Question

Make a frequency distribution and find the relative frequency to the nearest tenth of a percent. Some of the answers will be used more than once, and some may not be used.

10, 30, 40, 50, 60, 70
10, 30, 40, 60, 60, 80
20, 30, 50, 60, 70, 90
20, 30, 50, 60, 70, 90
a) 10: 20%, 30: 30%, 40: 10%, 50: 10%, 60: 20%, 70: 10%, 80: 5%, 90: 5%
b) 10: 15%, 20: 10%, 30: 25%, 40: 10%, 50: 15%, 60: 20%, 70: 10%, 80: 0%, 90: 5%
c) 10: 15%, 20: 15%, 30: 20%, 40: 10%, 50: 10%, 60: 15%, 70: 10%, 80: 0%, 90: 5%
d) 10: 20%, 20: 10%, 30: 25%, 40: 10%, 50: 15%, 60: 15%, 70: 10%, 80: 0%, 90: 5%

Answer 1

After calculating the frequency of each value and dividing it by the total number of data points, which is 20, the relative frequencies as a percent are found for each value. The correct relative frequency distribution is 10: 15%, 20: 10%, 30: 25%, 40: 10%, 50: 15%, 60: 20%, 70: 10%, 80: 0%, 90: 5%, corresponding to option b).

The correct answer is B.

Step-by-step explanation:

To create a frequency distribution and find the relative frequency, we first count how many times each number appears in the data set. Next, we divide each frequency by the total number of data points, which in this case is 20. Then, we express the relative frequency as a percent by multiplying the result by 100 and rounding to the nearest tenth of a percent.

• 10 appears 3 times: 3/20 = 0.15 = 15%
• 20 appears 2 times: 2/20 = 0.10 = 10%
• 30 appears 5 times: 5/20 = 0.25 = 25%
• 40 appears 2 times: 2/20 = 0.10 = 10%
• 50 appears 3 times: 3/20 = 0.15 = 15%
• 60 appears 4 times: 4/20 = 0.20 = 20%
• 70 appears 2 times: 2/20 = 0.10 = 10%
• 80 appears 0 times: 0/20 = 0.00 = 0%
• 90 appears 1 time: 1/20 = 0.05 = 5%

From the above calculation, the correct relative frequency distribution is:

• 10: 15%
• 20: 10%
• 30: 25%
• 40: 10%
• 50: 15%
• 60: 20%
• 70: 10%
• 80: 0%
• 90: 5%

The correct option from the choices provided is b).