A recent poll of 3,110 individuals asked: “What’s the longest vacation you plan to take this summer?” The following relative frequency distribution summarizes the results.
Response Relative Frequency
A few days 0.19
A few long weekends 0.32
One week 0.26
Two weeks 0.23
a. Construct the frequency distribution of these data. (Round your answers to the nearest whole number.)
To construct the frequency distribution, we need to multiply the relative frequency by the total number of individuals polled (3,110) to find the frequency.
Response Frequency
A few days 0.19 * 3,110 = 590
A few long weekends 0.32 * 3,110 = 995
One week 0.26 * 3,110 = 808
Two weeks 0.23 * 3,110 = 716
Therefore, the frequency distribution is as follows:
Response Frequency
A few days 590
A few long weekends 995
One week 808
Two weeks 716
To construct the frequency distribution, we need to multiply each relative frequency by the total number of individuals surveyed (3,110).
To calculate the frequency for each response category, we can use the formula:
Frequency = Relative Frequency × Total Number of Individuals
For each category, we can perform the calculation as follows:
1. A few days:
Frequency = 0.19 × 3,110 = 590.9 (rounded to 591)
2. A few long weekends:
Frequency = 0.32 × 3,110 = 995.2 (rounded to 995)
3. One week:
Frequency = 0.26 × 3,110 = 808.6 (rounded to 809)
4. Two weeks:
Frequency = 0.23 × 3,110 = 715.3 (rounded to 715)
The frequency distribution is as follows:
Response Frequency
A few days 591
A few long weekends 995
One week 809
Two weeks 715