Question

In: Statistics and Probability

Find the mean, median mode(s), range, standard deviation, and variance of the data: 21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5

Find the mean, median mode(s), range, standard deviation, and variance of the data: 21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5

Solutions

Expert Solution

Here we need to use EXCEL to find the mean, median, mode(s), range, standard deviation and variance of the data.

Data
21
15
16
25
13
18
5
3
2
6
5
2
5

1. Mean

To calculate mean in excel we use the AVERAGE() function in EXCEL. Within the brackets we put the cell range of which we want to calculate the mean. Like here we use "=AVERAGE(A2:A14)"

Then press ENTER.

2. Median

To calculate median in excel we use the MEDIAN() function in EXCEL. Within the brackets we put the cell range of which we want to calculate the median. Like here we use "=MEDIAN(A2:A14)"

Then press ENTER.

3. Mode

To calculate mode in excel we use the MODE() function in EXCEL. Within the brackets we put the cell range of which we want to calculate the mode. Like here we use "=MODE(A2:A14)"

Then press ENTER.

4. Range

Now there is no range function in EXCEL so we know that,

So we use "=MAX(A2:A14)-MIN(A2:A14)"

where MAX() and MIN() are the functions to find the maximum and minimum in a data set.

Then press ENTER.

5. Standard Deviation

Now here we are given a sample so we find the sample standard deviation of the given data using EXCEL.

To calculate sample standard deviation in excel we use the STDEV.S() function in EXCEL. Within the brackets we put the cell range of which we want to calculate the sample standard deviation. Like here we use "=STDEV.S(A2:A14)"

Then press ENTER.

6. Variance

Now here we are given a sample so we find the sample variance of the given data using EXCEL.

To calculate sample variance in excel we use the VAR.S() function in EXCEL. Within the brackets we put the cell range of which we want to calculate the sample variance. Like here we use "=VAR.S(A2:A14)"

Then press ENTER.


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