# A data set has the numbers 11,16,21,26,31,36 with frequency 5,13,12,14,7,4 respectively. Find the mode.

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The data set given to us has 5 instances of 11, 13 instances of 16...4 instances of 36.

In statistics, the mode is the value that occurs most frequently in a data set or a probability distribution.

Here, the value that occurs most often is 26. It occurs 14 times.

**Therefore the mode is 26.**

It can be easy to get confused between mean, median, and mode.

The mean is the average. To get this you add up all the numbers and divide by the amount of numbers you added up.

The median is simply the middle of the number list.

The mode is the number or value that occurs the most. (Good tip: If there is no number that is repeated in a number list/data set, there is no mode for that list.)

In this case, since the mode is the number that occurs the most in the list you can look through the frequency list and find the highest number. The highest number is 14. Then you look at the other list to see which number occurs 14 times, which is 26. Therefore the mode for the data set is 26.

The number frequency

11 05

16 13

21 12

**26 14**

31 07

36 04

**The number 26 has the highest frequency.**

**So 26 is the mode.**