Question:
Temperatures for 5 Days This Week and Last Week
Low Temperatures This Week (Degrees Fahrenheit) 4 10 6 9 6 Low Temperatures Last Week (Degrees Fahrenheit) 13 9 5 8 5 Which measures of center or variability are greater than 5 degrees? Select three choices.
a) the mean of this week’s temperatures
b) the mean of last week’s temperatures
c) the range of this week’s temperatures
d)the mean absolute deviation of this week’s temperatures
e) the mean absolute deviation of last week’s temperatures
Answer:
a) the mean of this week’s temperatures
b) the mean of last week’s temperatures
c) the range of this week’s temperatures
Explanation:
I would be verifying the options a, b, and c in my answer above through calculations which are shown below.
We were given the following data:
Low Temperatures This Week (Degrees Fahrenheit)
4, 10, 6, 9, 6
Low Temperatures Last Week (Degrees Fahrenheit)
13, 9, 5, 8, 5
We are to find which measures of center or variability are greater than 5 degrees.
Option a
The mean of this week’s temperatures
(4+ 10+ 6+9+ 6) °F ÷ 5 = 35 °F ÷5 = 7°F
Option a is correct because it measures of center or variability which is 7 °F is higher than 5°F
Option b
The mean of last week’s temperatures
(13+ 9 + 5 + 8 + 5) °F = 40°F ÷ 5 = 8°F
Option b is correct , because its measure of variability which is 8°F is greater than 5°F.
Option c
the range of this week’s temperatures
This week's temperature is given as
(4, 10, 6, 9, 6) °F
Range is defined as the difference between the highest number and the lowest number
Range of this week's temperature = (10 - 4) °F = 6°F
Hence Option c is correct because it measures of center or variability which is 6°F is greater than 5°F
From the above calculations we can accurately confirm that options a, b, and c are correct because the measures of their center or variability is greater than 5°F