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:
[tex]M = \frac{61+65}{2}\\ M=63[/tex]
The first quartile is the average between the 3rd and 4th terms:
[tex]Q_1 = \frac{42+48}{2}\\ Q_1=45[/tex]
The third quartile is the average between the 9th and 10th terms:
[tex]Q_3 = \frac{76+78}{2}\\ Q_3=77[/tex]
Therefore, the answer is:
B) Sample minimum: 40, Sample maximum: 84
Q1: 45, Median: 63, Q3: 77
