A population is of size 5,500 observations. When the data are represented in a relative frequency distribution, the relative frequency of a given interval is 0.15. The frequency in this interval is equal to

Question

A population is of size 5,500 observations. When the data are represented in a relative frequency distribution, the relative frequency of a given interval is 0.15. The frequency in this interval is equal to

BlackTom AI · Accepted Answer

We start by understanding that a relative frequency represents the proportion of the total population that falls into a given interval. To find the actual frequency, we multiply the relative frequency by the total population.

Step 1: Compute the frequency from the given relative frequency.
- Total population = 5,500 observations
- Relative frequency = 0.15
- Frequency = 0.15 × 5,500 = 825

Step 2: Compare the computed frequency to the provided answer options.
- 4,675 would correspond to a relative frequency of 4,675 / 5,500 ≈ 0.850, which is not 0.15.
- 800 would correspond to a relative frequency of 800 / 5,500 ≈ 0.145, close to 0.15 but not exact.
- 675 would correspond to a relative frequency of 675 / 5,500 ≈ 0.1227, far from 0.15.
- 825 matches exactly 0.15 when multiplied by 5,500.

Conclusion (via calculation): among the options, the value that aligns precisely with a relative frequency of 0.15 for a population of 5,500 is 825.

A population is of size 5,500 observations. When the data are represented in a relative frequency distribution, the relative frequency of a given interval is 0.15. The frequency in this interval is equal to

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