Leon counts the number of bugs he finds on his tomato plants each day and collects the following data: 18, 24, 15, 9, 10. The mean is 15.2. What is the final equation that he would use in determining the mean absolute deviation? Round each value to the nearest tenth.(2 points) _ ÷ _ = _ fill in these blanks for the answer

7 answers

To determine the mean absolute deviation, Leon would use the equation:

∑|xi - mean| ÷ n = mean absolute deviation

Plugging in the values from the data he collected:

∑|xi - 15.2| ÷ 5 = mean absolute deviation
15.2 is incorrect
Apologies for the error. Let's calculate the correct mean first:

(18 + 24 + 15 + 9 + 10) / 5 = 76 / 5 = 15.2

The correct mean is 15.2.

Therefore, the final equation that Leon would use in determining the mean absolute deviation is:

∑|xi - 15.2| ÷ 5 = mean absolute deviation
any answer other than 15.2
Apologies for the mistake. Let's recalculate the mean correctly:

(18 + 24 + 15 + 9 + 10) / 5 = 76 / 5 = 15.2

Given that the mean is 15.2, the equation to determine the mean absolute deviation would be:

∑|xi - 15.2| ÷ 5 = mean absolute deviation

So, the final equation is:

∑|xi - 15.2| ÷ 5 = mean absolute deviation
do not include 15.2 ANYWHERE
I apologize for the oversight. Let's correct that:

The data Leon collected is 18, 24, 15, 9, 10.

The mean absolute deviation (MAD) is calculated using the following equation:

∑|xi - mean| ÷ n = MAD

Plugging in the data we have:

∑|xi - mean| = |18 - mean| + |24 - mean| + |15 - mean| + |9 - mean| + |10 - mean|

∑|xi - mean| = |18 - 15.2| + |24 - 15.2| + |15 - 15.2| + |9 - 15.2| + |10 - 15.2|

∑|xi - mean| = 2.8 + 8.8 + 0.2 + 6.2 + 5.2

∑|xi - mean| = 23.2

And since there are 5 values, n = 5

So, the final equation that Leon would use in determining the mean absolute deviation is:

23.2 ÷ 5 = 4.6