Answer :

From the data set shown, the data is periodic, this can be deduced by plot of the data.
This can be shown in the attached plot. From the plot we see that the period is 4 and the amplitude is about 25.
Hence the correct answer is:

Periodic with with a period of 4 and an amplitude of about 25

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Rewritten by : Barada

Answer:

Option: c is the correct answer.

Periodic with a period of 4 and amplitude of about 25.

Step-by-step explanation:

We are given a data set as:

Day 1 2 3 4 5 6 7 8 9 10 11 12

Books 102 78 91 140 98 74 88 137 100 75 92 139

borrowed

We divide the data set into three parts as follows:

1)

Day 1 2 3 4

Books Borrowed 102 78 91 140

2)

Day 5 6 7 8

Books Borrowed 98 74 88 137

3)

Day 9 10 11 12

Books Borrowed 100 75 92 139

As we see that the values repeat approximately after every 4 values.

This means that the period of the data set is: 4

Also the amplitude of the data set is the average of difference between the maximum value and the minimum value.

1)

Amplitude=(140-78)/2=31

2)

Amplitude=(137-74)/2=31.5

3)

Amplitude=(139-75)/2=32

The most approximate answer is:

Amplitude= 25