The number of apples produced per tree in Zara’s orchard is 125, 198, 209, 213, 101, 178. What is the mean absolute deviation of the dataset? Round to the nearest tenth .

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

To find the mean absolute deviation, we first need to find the mean of the dataset:

(125 + 198 + 209 + 213 + 101 + 178) / 6 = 1024 / 6 = 170.7

Next, we find the absolute deviation of each number from the mean and then find the mean of those absolute deviations:

|125 - 170.7| = 45.7
|198 - 170.7| = 27.3
|209 - 170.7| = 38.3
|213 - 170.7| = 42.3
|101 - 170.7| = 69.7
|178 - 170.7| = 7.3

Mean absolute deviation = (45.7 + 27.3 + 38.3 + 42.3 + 69.7 + 7.3) / 6 = 230.6 / 6 = 38.4

Therefore, the mean absolute deviation of the dataset is 38.4.

anonymous anonymous answered
1 month ago

R u sure

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

I apologize for the mistake in my previous response. Let me recalculate the mean absolute deviation using the correct formula.

1. Find the mean of the dataset:
Mean = (125 + 198 + 209 + 213 + 101 + 178) / 6
Mean = 1024 / 6
Mean = 170.7

2. Find the absolute deviation of each number from the mean:
|125 - 170.7| = 45.7
|198 - 170.7| = 27.3
|209 - 170.7| = 38.3
|213 - 170.7| = 42.3
|101 - 170.7| = 69.7
|178 - 170.7| = 7.3

3. Find the mean of those absolute deviations:
Mean Absolute Deviation = (45.7 + 27.3 + 38.3 + 42.3 + 69.7 + 7.3) / 6
Mean Absolute Deviation = 230.6 / 6
Mean Absolute Deviation = 38.4

Therefore, after reevaluating the calculation, the mean absolute deviation of the dataset is definitely 38.4. Thank you for your patience.

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