Calculate the Mean Absolute Deviation (MAD) for the weekly temperatures in Celsius:
22, 24, 23, 25, 27, 26, and 21.

Given weekly temperatures

22, 24, 23, 25, 27, 26, and 21

Calculate the Mean (Average)
Sum up all the temperatures and then divide by the number of temperatures

\$"Mean" = (22 + 24 + 23 + 25 + 27 + 26 + 21) / 7\$
\$"Mean" = 168 / 7\$ = 24

The mean temperature is 24 degrees Celsius.

Calculate the Absolute Deviations from the Mean
Find the absolute deviation of each temperature from the mean

\$\∣22 − 24\∣ = 2\$
\$\∣24 − 24\∣ = 0\$
\$\∣23 − 24\∣ = 1\$
\$\∣25 − 24\∣ = 1\$
\$\∣27 − 24\∣ = 3\$
\$\∣26 − 24\∣ = 2\$
\$\∣21 − 24\∣ = 3\$

Sum the absolute deviations and then divide by the number of temperatures to find the Mean Absolute Deviation (MAD)

The sum of absolute deviations = 2 + 0 + 1 + 1 + 3 + 2 + 3 = 12

Calculate the Mean of the Absolute Deviations

\$"MAD" = ("Sum of absolute deviations")/("Number of temperatures")\$

⇒ \$12/7\$ = 1.71

Therefore, the Mean Absolute Deviation (MAD) for the weekly temperatures is approximately 1.71 degrees Celsius.

This value is very close to our calculated MAD (1.71), but it is slightly lower. The precise calculation gives 1.71, so 1.69 is not accurate

1.69 degrees

This value matches our calculated MAD exactly. Given our calculation steps and results, this is the correct option

1.71 degrees

This value is higher than our calculated MAD. While it might seem close, it is not as close as option A, and it significantly deviates from the exact calculated value of 1.71. Therefore, this is not the correct option

1.78 degrees

This value is lower than both our calculated MAD and the slightly incorrect option A (1.69). It deviates more significantly from the correct MAD of 1.71, making it incorrect

1.63 degrees

Option

B

Can you summarize what you’ve understood in the above steps?