The following list gives the number of public libraries in each of 14 cities. 4, 5, 4, 6, 5, 6, 5, 8, 5, 4, 6, 6, 7, 4
Find the modes of this data set.
If there is more than one mode, write them separated by commas.

Given:

The date set for the number of public libraries in each of 14 cities is:

4, 5, 4, 6, 5, 6, 5, 8, 5, 4, 6, 6, 7, 4

To find:

The modes of this data set.

Solution:

We know that, the mode of a data is the most frequent value of data set.

Arrange the given data in ascending order.

4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8

In the given data set,

Frequency of 4 = 4

Frequency of 5 = 4

Frequency of 6 = 4

Frequency of 7 = 1

Frequency of 8 = 1

Clearly, the data values 4, 5, 6 have the largest frequency, i.e., 4.

Therefore, the modes of the given data set are 4, 5, 6.

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.