Question

The following list gives the number of public libraries in each of 12 cities. 11,7,9,7,7,11,8,8,9,8,9,10. Find mode of this data set

Answer 1

7, 8, and 9

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To find the mode of this data set, we need to identify the value(s) that appear most frequently in the list. The data set given is:

• 11, 7, 9, 7, 7, 11, 8, 8, 9, 8, 9, 10

Let's count how many times each unique number appears:

• The number 7 appears three times.
• The number 8 appears three times.
• The number 9 appears three times.
• The number 10 appears once.
• The number 11 appears twice.

Since the numbers 7, 8, and 9 all appear three times and that is more frequent than any other number, they are the modes of the data set. This data set is multimodal since it has more than one mode.

Therefore, the modes are 7, 8, and 9.