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Lesson Topics Discussion Quiz: Class Homework

Example1

Title: Exploring Deviation & Percentage

Grade Lesson s6-l5

Explanation: The best way to understand SAT-4 is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1 Example2 Example3

Let’s calculate the MAD for a set of exam scores: {20, 22, 18, 23, 21, 19, and 25}.

Step: 1

To find the mean absolute deviation: Calculate the mean (average) temperature:

\$Mean = (20 + 22 + 18 + 23 + 21 + 19 + 25) / 7\$
= \$(148) / 7\$
≈21.14

Absolute deviation: \$\∣ 20 − 21.14\∣ = 1.14\$
\$\∣22 − 21.14\∣ = 0.86\$
\$\∣18 − 21.14\∣ = 3.14\$
\$\∣23 − 21.14\∣ = 1.86\$
\$\∣21 − 21.14\∣ = 0.14\$
\$\∣19 − 21.14\∣ = 2.14\$
\$\∣25 − 21.14\∣ = 3.86\$

Explanation:

Here, we find the absolute deviation of each temperature. The mean temperature is 21.14.

Step: 2

Calculate the mean of these absolute deviations:

\$MAD = (1.14 + 0.86 + 3.14 + 1.86 + 0.14 + 2.14 + 3.86) / 7\$ = \$(13.14) / 7\$ = 1.88.

Explanation:

Therefore, the mean absolute deviation of the temperatures is approximately 1.88° Celsius.