Answer:
The correct option is:
Periodic with period 3 and amplitude of about 7.5
Step-by-step explanation:
We are given a data set as:
Hour Number of bikes
1 5
2 19
3 14
4 4
5 19
6 15
7 6
8 22
9 15
10 5
11 20
12 16
From this data set we could clearly observe that the values are periodic as it repeats after every 3rd value.
{(1,5), (2,19) , (3,14)} {(4,4),(5,19),(6,15)} {(7,6),(8,22),(9,15)} {(10,5),(11,20),(12,16)}
Also, the amplitude is the distance is calculated as:
[tex]\dfrac{Largest\ value-Smallest\ value}{2}[/tex]
( Since, amplitude is the distance of the maximum or minimum value from the mid-line)
for first set:
[tex]Amplitude=\dfrac{19-5}{2}\\\\Amplitude=7[/tex]
for second set:
[tex]Amplitude=\dfrac{19-4}{2}\\\\Amplitude=7.5[/tex]
for third set:
[tex]Amplitude=\dfrac{22-6}{2}\\\\Amplitude=8[/tex]
for fourth set:
[tex]Amplitude=\dfrac{20-5}{2}\\\\Amplitude=7.5[/tex]
Hence, approximately the amplitude is:
7.5
