Is the data set approximately periodic? if so, what are its period and amplitude?

Option: c is the correct answer.

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

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

1. 34

2. 268

3. x=14.4

step-by-step explanation: