Answer:
B) Sample minimum: 40, Sample maximum: 84
Q1: 45, Median: 63, Q3: 77
Step-by-step explanation:
The first step is to write the temperatures in crescent order:
40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,
The sample minimum is the lowest value = 40
The sample maximum is the highest value = 84.
Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:
![M = \frac{61+65}{2}\\ M=63](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B61%2B65%7D%7B2%7D%5C%5C%20M%3D63)
The first quartile is the average between the 3rd and 4th terms:
![Q_1 = \frac{42+48}{2}\\ Q_1=45](https://tex.z-dn.net/?f=Q_1%20%3D%20%5Cfrac%7B42%2B48%7D%7B2%7D%5C%5C%20Q_1%3D45)
The third quartile is the average between the 9th and 10th terms:
![Q_3 = \frac{76+78}{2}\\ Q_3=77](https://tex.z-dn.net/?f=Q_3%20%3D%20%5Cfrac%7B76%2B78%7D%7B2%7D%5C%5C%20Q_3%3D77)
Therefore, the answer is:
B) Sample minimum: 40, Sample maximum: 84
Q1: 45, Median: 63, Q3: 77