20250324 Measures of Center and Spread 3.1 (Mean, Median, Mode)

Data are from Statistic with technology, Dr. Kozak https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Statistics_with_Technology_2e_(Kozak)/03%3A_Examining_the_Evidence_Using_Graphs_and_Statistics/3.01%3A_Measures_of_Center 

Example  3.1.4 affect of extreme values on mean and median

Suppose you have the same set of cats from Example  3.1.1 but one additional cat was added to the data set. Example  3.1.6 contains the six cats’ weights, in pounds

6.8

8.2

7.5

9.4

8.2

6.3

STEPS: copy-paste special-transposed

result:

6.8

8.2

7.5

9.4

8.2

6.3

after that, select all the items and click "data", then "sort range" --> Sort Range by A-Z

it will automatically arrange your data from smallest to largest! (taught by One Dollar)

Finding MEAN, MODE, MEDIAN:

MEAN:

input: AVERAGE (variable#:variable#)

6.3

6.8

7.5

8.2

8.2

9.4

AVERAGE

6.3

6.8

7.5

8.2

8.2

9.4

7.733333333

 MEAN=7.733333333

MEDIAN:

There are 6 data points so the middle of the list would be between the 3rd and 4th number

6.3

6.8

7.5

8.2

8.2

9.4

MEDIAN: (7.5+8.2)/2= 7.85

MODE: the most frequent/repetitive

6.3

6.8

7.5

8.2

8.2

9.4

MODE: 8.2

Using Google spreadsheets is really helpful in finding mean, median, and mode easily and conveniently!