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.
