Question

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

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

Answer:

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

$=\frac{4+4+4+6+6}{5}\\\\=\frac{24}{5}\\\\=4.8$

Mode = 4

2. 1. Mean of data set 2

$=\frac{4+5+5+5+6}{5}\\\\=\frac{25}{5}\\\\=5$

Mode = 5

3. 1. Mean of data set 1

$=\frac{3+3+4+6+7}{5}\\\\=\frac{23}{5}\\\\=4.6$

Mode = 3

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