Answer:
The correct choices are:
A. At random
D. Represent the population
Explanation:
- Random sampling ensures that every member of the population or group has an equal chance of representation.
- Random sampling eliminates the possibility of response or sample bias which gives a universal sample that uniformly represents all members of the population.
- A good sample should represent the entire population. This can be achieved by through random sampling.
- Convenience and volunteer based samples both have an increased risk of response bias. These samples will only represent selected individuals instead of the entire population.
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Since sample a has data more tightly clustered about the mean compared to sample b, we can say that the variance for sample a is lower than that for sample b.
What is variance:
Variability gets used to measure the central tendency's closeness to the values. A measure of central tendency that can get used is mean. Mean refers to the average for some given values and gets determined by dividing the sum of those values by the number of values. The variance refers to the average squared difference of each value from the mean.
When the variance is lower, the data is less spread out. Thus, data being more tightly clustered about the mean reflects lower variance. Since sample a has data more tightly clustered about the mean compared to sample b, it can be concluded that the variance for sample a is lower than that for sample b.
Learn more about variance here:
brainly.com/question/13708253
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