Question

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 mikes 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

Explanation:

Step1: Calculate sum of data

$3 + 2+0 + 1+0 + 2+3 + 4+1 + 2+2 + 1=21$

Step2: Calculate sample mean

The sample size $n = 12$. The sample mean $\bar{x}=\frac{21}{12}=1.75$

Step3: Infer population mean

Assuming the sample is representative, the population mean is approximated by the sample mean. Rounding $1.75$ to the nearest unit gives 2.

Answer:

2 siblings