Question

Find the mean, median, and mode of the following data: 0.38, 0.52, 0.55, 0.32, 0.37, 0.38, 0.38, 0.35, 0.29, 0.38, 0.28, 0.39, 0.40, 0.38, 0.38, 0.38 Mean: Median: Mode:

Given the following data and Standard Deviation, calculate the %CV: 26, 52, 37, 22, 24, 45, 58, 28, 39, 60, 25, 47, 23, 56, 28 SD = 14.0

Answer 1

For given data

Mean is

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

0.28   0.29   0.32   0.35   0.37   0.38   0.38   0.38   0.38   0.38   0.38   0.38   0.39   0.40   0.52   0.55   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Median=

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

0.28   0.29   0.32   0.35   0.37   0.38   0.38   0.38   0.38   0.38   0.38   0.38   0.39   0.40   0.52   0.55   

We see that the mode is 0.38 .

Now for given data 26, 52, 37, 22, 24, 45, 58, 28, 39, 60, 25, 47, 23, 56, 28

We need to find %CV

Also standard deviation is given as SD=14

Now mean value is

So %CV is