Answer:
a) Mean = 3670
b) Median = 3830
c) Mode = 4090
Step-by-step explanation:
a) By mean, we imply the average of the sample collected. This is given by the formula:
Mean ([tex]\bar{x}[/tex]) = [tex]\frac{\sum\limits_{i=1}^{n}{x}}{n}[/tex], where n is the sample size and x is the samples collected.
==> [tex]\bar{x}[/tex] = (2940+3100+3200+3780+3830+3960+4040+4090+4090 )/9
==> [tex]\bar{x}[/tex] = 33030/9 = 3670
b) By median, we imply middle value. Since the data size is small, we can easily sort the data in ascending or descending order. Then, we pick the middle value.
Sorted value => 2940 3100 3200 3780 3830 3960 4040 4090 4090
By formula, median = ((n+1)/2)th = 5th position value.
Therefore, the median = 3830
c) By mode, we imply the most occurrence value in the dataset. From the sorting: 2940 3100 3200 3780 3830 3960 4040 4090 4090 ,
The last two values occur most. Therefore, the mode is:
===> 4090
