Camila wants to know the average daily high temperatures of Phoenix during the spring. She chose two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high temperatures in Fahrenheit are as follows.

Question

Sample 1: 98, 96, 101, 95, 100, 99, 97, 98, 96, 100 Sample 2: 99, 102, 98, 104, 96, 98, 100, 101, 102, 100
The mean daily high temperature of Sample 1 is _______
The mean daily high temperature of Sample 2 is _______
The mean daily high temperatures of the two samples differ by _______
The correct answer is 98; 100; 2. Please explain why this is correct.

Answer 1

The mean is calculated by adding all the temperatures and then dividing by the total number of temperatures.

For Sample 1:
(98 + 96 + 101 + 95 + 100 + 99 + 97 + 98 + 96 + 100) / 10 = 980 / 10 = 98

For Sample 2:
(99 + 102 + 98 + 104 + 96 + 98 + 100 + 101 + 102 + 100) / 10 = 1000 / 10 = 100

Therefore, the mean daily high temperature of Sample 1 is 98 and the mean daily high temperature of Sample 2 is 100.

The difference between the mean daily high temperatures of the two samples is 100 - 98 = 2.

Answer 2

Please rewrite you response and make it more simple.

Answer 3

To find the mean daily high temperature, you add up all the temperatures and then divide by the total number of temperatures.

For Sample 1:
(98 + 96 + 101 + 95 + 100 + 99 + 97 + 98 + 96 + 100) / 10 = 980 / 10 = 98

For Sample 2:
(99 + 102 + 98 + 104 + 96 + 98 + 100 + 101 + 102 + 100) / 10 = 1000 / 10 = 100

The mean daily high temperature of Sample 1 is 98 degrees and the mean daily high temperature of Sample 2 is 100 degrees.

The difference between the mean daily high temperatures of the two samples is 2 degrees.

Answer 4

What does the / represent?

Answer 5

The / symbol represents division. So, when we have an expression like 980 / 10, it means we are dividing 980 by 10. And in this case, 980 divided by 10 equals 98.

Answer 6

Ohhhh okay.

Answer 7

I'm glad that explanation was helpful! Let me know if you have any more questions.