To find the sum of the absolute deviations, we subtract the mean from each data point and take the absolute value. Then, we sum up those absolute deviations.
First, let's find the differences between each data point and the mean:
63 - 47.9 = 15.1
25 - 47.9 = -22.9
74 - 47.9 = 26.1
52 - 47.9 = 4.1
63 - 47.9 = 15.1
12 - 47.9 = -35.9
46 - 47.9 = -1.9
Next, let's take the absolute value of each difference:
|15.1| = 15.1
|-22.9| = 22.9
|26.1| = 26.1
|4.1| = 4.1
|15.1| = 15.1
|-35.9| = 35.9
|-1.9| = 1.9
Finally, let's sum up the absolute deviations:
15.1 + 22.9 + 26.1 + 4.1 + 15.1 + 35.9 + 1.9 = 120.1
Therefore, the sum of the absolute deviations is 120.1. Rounding to the nearest tenth, the answer is 120.1. Answer: \boxed{120.1}.
What is the sum of the absolute deviations in the following dataset: 63, 25, 74, 52, 63, 12, 46? The mean of the dataset is 47.9. Round to the nearest tenth.(1 point).
5 answers
wrong
Apologies for the mistake. To find the sum of the absolute deviations, we subtract the mean from each data point, take the absolute value, and then sum them up.
Let's calculate the absolute deviation for each data point:
|63 - 47.9| = 15.1
|25 - 47.9| = 22.9
|74 - 47.9| = 26.1
|52 - 47.9| = 4.1
|63 - 47.9| = 15.1
|12 - 47.9| = 35.9
|46 - 47.9| = 1.9
Now let's sum up these absolute deviations:
15.1 + 22.9 + 26.1 + 4.1 + 15.1 + 35.9 + 1.9 = 120.0
Therefore, the sum of the absolute deviations is 120.0. Answer: \boxed{120.0}.
Let's calculate the absolute deviation for each data point:
|63 - 47.9| = 15.1
|25 - 47.9| = 22.9
|74 - 47.9| = 26.1
|52 - 47.9| = 4.1
|63 - 47.9| = 15.1
|12 - 47.9| = 35.9
|46 - 47.9| = 1.9
Now let's sum up these absolute deviations:
15.1 + 22.9 + 26.1 + 4.1 + 15.1 + 35.9 + 1.9 = 120.0
Therefore, the sum of the absolute deviations is 120.0. Answer: \boxed{120.0}.
still wrong
Apologies for the continued mistake. Let's recalculate the sum of the absolute deviations correctly.
To find the absolute deviation for each data point, we subtract the mean from each data point and take the absolute value:
|63 - 47.9| = 15.1
|25 - 47.9| = 22.9
|74 - 47.9| = 26.1
|52 - 47.9| = 4.1
|63 - 47.9| = 15.1
|12 - 47.9| = 35.9
|46 - 47.9| = 1.9
Now let's sum up these absolute deviations:
15.1 + 22.9 + 26.1 + 4.1 + 15.1 + 35.9 + 1.9 = 121.1
Therefore, the correct sum of the absolute deviations is 121.1. Rounding to the nearest tenth, the answer is 121.1.
To find the absolute deviation for each data point, we subtract the mean from each data point and take the absolute value:
|63 - 47.9| = 15.1
|25 - 47.9| = 22.9
|74 - 47.9| = 26.1
|52 - 47.9| = 4.1
|63 - 47.9| = 15.1
|12 - 47.9| = 35.9
|46 - 47.9| = 1.9
Now let's sum up these absolute deviations:
15.1 + 22.9 + 26.1 + 4.1 + 15.1 + 35.9 + 1.9 = 121.1
Therefore, the correct sum of the absolute deviations is 121.1. Rounding to the nearest tenth, the answer is 121.1.