Question

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

Answer 1

The data set is roughly periodic, you can see the data that follows a pattern. For example, data point 1 is (1, 102), the 5 is (5, 98) and 9 is (9, 100).
 Every 4 periods, the values resemble each other.
 The same can be shown with the point (2, 76) and the point (6, 74) and (10, 75).
 Therefore, it can be concluded that the period is 4 and the amplitude approximately 25.
 Finally, the correct option is the third.
 Period 4 and approximate amplitude of 25

Answer 2

The period and amplitude of the given data set are; periodic with period of 4 and amplitude of 25

What is the period and amplitude?

Let us examine data points in interval of 4 days;

Data point 2 = (2, 76)

Data point 6 is (6, 74)

Data point 10 is (10, 75)

Every 4 day periods, the values are within range of normal. This same 4 day period is also proven by the the points (3, 91), (7, 88) and (11, 92).

Thus we can conclude that the period is 4 and the amplitude is approximately 25 since the data points at 4 day period interval follow a pattern.

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