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Distribution of Data Sets Quick Check
4 of 54 of 5 Items

Question
Use the table to answer the question.

Street Frequency Relative Frequency
Harper Ave. 12
Blackstone Ave. 5
Dorchester Ave. 2
56th St. 1
Ramona makes this relative frequency table to show the answers to her question “What street do you live on?” What is the relative frequency of Blackstone Avenue in Ramona’s sample?

(1 point)
Responses

10%
10%

60%
60%

20%
20%

25%
25%
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1 answer

To find the relative frequency of Blackstone Ave. in Ramona’s sample, we first need to determine the total frequency of responses.

We can calculate the total frequency by adding the frequencies from each street:

  • Harper Ave.: 12
  • Blackstone Ave.: 5
  • Dorchester Ave.: 2
  • 56th St.: 1

Total frequency = 12 + 5 + 2 + 1 = 20

Next, we can calculate the relative frequency of Blackstone Ave. by using the formula:

\[ \text{Relative Frequency} = \frac{\text{Frequency of Blackstone Ave.}}{\text{Total Frequency}} \]

\[ \text{Relative Frequency of Blackstone Ave.} = \frac{5}{20} = 0.25 \]

To express this as a percentage, we multiply by 100:

\[ 0.25 \times 100 = 25% \]

Therefore, the relative frequency of Blackstone Ave. in Ramona’s sample is 25%.