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For the given data set,
12,23,17,20,14,14,18,16,17,18,18
We have to determine the mean, median and mode.
Mean is calculated by the " sum of all the observations divided by the total number of observations".
First of all, let us arrange the numbers in ascending order.
12, 14, 14, 16, 17, 17, 18, 18, 18, 20, 23
Mean =
Mean =
Mean = 17
So, the mean of the data set is 17.
The mode of a set of numbers is the one that occurs most often.
Since, we observe that '18' is a number among the data set which occurs often.
Therefore, mode of the data set is 18.
Now, we will calculate median.
Since there are 11 terms. Since 11 is an odd number.
Median = th observation
=
= 6th observation
From the arranged data set, the 6th observation is 17.
So, the median of the data set is 17.
Hence, Mean = 17
Mode = 18
Median = 17