What is the point estimate for the number of cars sold per week for a sample consisting of the following weeks: 1, 3, [tex][tex]$5, 7, 10, 13, 14, 17, 19, 21$[/tex][/tex]?

A. 48
B. 522
C. 638
D. 6.1



Answer :

To determine the point estimate for the number of cars sold per week for a given sample, we need to calculate the mean (average) number of cars sold.

Given the sample data: [tex]\(1, 3, 5, 7, 10, 13, 14, 17, 19, 21\)[/tex]

1. Sum the numbers in the sample:
[tex]\(1 + 3 + 5 + 7 + 10 + 13 + 14 + 17 + 19 + 21 = 110\)[/tex]

2. Count the number of observations in the sample:
There are 10 observations in the sample.

3. Calculate the mean by dividing the sum of the observations by the number of observations:
[tex]\[ \text{Mean} = \frac{110}{10} = 11 \][/tex]

Therefore, the point estimate for the number of cars sold per week is [tex]\(11\)[/tex].

The correct answer is not listed in the provided options (A, B, C, D).

However, based on the detailed calculation, the correct point estimate is:

11