How do you find the mean, median, and mode of the data set: 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13?

1 Answer
Mr. Danger
May 6, 2017

The mean is the average, equal to "Sum of all the data"/"Number of Data Points".

The median is the central number of a set ordered least to greatest.

The mode is the number that appears most frequently.

Explanation:

Mean:

Sum of all the data:
15+13+9+9+7+1+11+10+13+1+13=102

Number of data points: 11

102/11 = 9.272727... or 9 3/11

Median:

The data set in order:
1,1,7,9,9,10,11,13,13,13,15

Cross out outer ones until you fine the middle:
cancel(1),1,7,9,9,10,11,13,13,13,cancel(15
cancel(1),cancel(1),7,9,9,10,11,13,13,cancel(13),cancel(15
cancel(1),cancel(1),cancel(7),9,9,10,11,13,cancel(13),cancel(13),cancel(15
cancel(1),cancel(1),cancel(7),cancel(9),9,10,11,cancel(13),cancel(13),cancel(13),cancel(15
cancel(1),cancel(1),cancel(7),cancel(9),cancel(9),10,cancel(11),cancel(13),cancel(13),cancel(13),cancel(15

Median = 10

Mode:

The number 13 appears 3 times, which is more than any other number.

Mode: 13

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