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Answer:
And if we replace we got
D. The statistics are representative because they are taken from a random sample
Step-by-step explanation:
For this case we have the following data:
9.9 8.7 10.1 9.2 9.2 9.9 10.1 9.4 9.1 9.3 10.2
The data was colledted from a random sample of people selected in 1988.
We can order the dataset on increasing way and we got:
8.7 9.1 9.2 9.2 9.3 9.4 9.9 9.9 10.1 10.1 10.2
The range is defined as
The mean is defined as:
The standard deviation can be calculated with the following formula:
And if we replace we got
The sample variance would be just the deviation squared:
And since the data comes from a random sample then is representative fo the population data in 1988. So then the best answer for this case would be:
D. The statistics are representative because they are taken from a random sample