While at summer camp, mike asked a random camper from each of the 12 cabins how many siblings he or she had. the results below display the responses. 3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1 if there are 48 campers altogether, use mike’s data to infer the mean of the population. what is the mean number of siblings for the population rounded to the nearest unit? 1 sibling 2 siblings 3 siblings 4 siblings
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2 siblings is the correct answer
The mean number of siblings for the population rounded to the nearest unit is:
We know that a mean of a data is the average of the data points i.e. it is calculated as the ratio of the sum of all the data to the number of data points.
Here we have a total of 12 data points such that the value is given by:
3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1
Now, the mean of this data is calculated as:
Hence, round to the nearest unit the mean of the data is: 2
The mean of the population is estimated by the mean of the sample.
The mean of the sample is calculated as the sum of the results divided by the number of samples:
mean of the sample = [3 + 2 + 0 + 1 + 0 + 2 + 3 + 4 + 1 + 2 + 2 + 1] / 12 = 21/12 = 1.75.
Then, the best estimate for the mean of the population rounded to nearest unit is 2.
The mean rounded to the nearest unit is 2