Question

In which of the following data sets is the mean equal to the mode?

4, 4, 4, 6, 6
4, 5, 5, 5, 6
3, 3, 4, 6, 7

Answer 1

4,5,5,5,6 When you add 4+5+5+5+6 it = 25. You then divide it by the amount f numbers which is 5, which = 5. And 5 is the number you see the most. So that is your answer

Answer 2

Mean of a data set is sum of all the observation divided by total number of observation.

As, mode of a data set is defined as those value in the data set which occur maximum number of times.

1. Mean of data set 1

`=(4+4+4+6+6)/(5)\\\\=(24)/(5)\\\\=4.8`

Mode = 4

2. 1. Mean of data set 2

`=(4+5+5+5+6)/(5)\\\\=(25)/(5)\\\\=5`

Mode = 5

3. 1. Mean of data set 1

`=(3+3+4+6+7)/(5)\\\\=(23)/(5)\\\\=4.6`

Mode = 3

For, second data set ,4, 5, 5, 5, 6, mean and mode both are equal to 5.