justine went swimming six days this week at her local pool. use the following lengths of time spent at the pool to determine the mean absolute deviation
40 minutes, 50 minutes, 90 minutes, 60 minutes, 80 minutes, 70 minutes
i think the answer is 65 pls help
nvm the mean is 65 but mean absolute deviation is 15
To find the mean absolute deviation, follow these steps:
1. Calculate the mean (average) of the given data set. In this case, you add up all the lengths of time and divide by the total number of values:
Mean = (40 + 50 + 90 + 60 + 80 + 70) / 6 = 390 / 6 = 65 minutes
2. Find the deviation for each value. Subtract the mean from each individual value:
Deviation from the mean = |value - mean|
Deviations from the mean for the given data set are as follows:
|40 - 65| = 25
|50 - 65| = 15
|90 - 65| = 25
|60 - 65| = 5
|80 - 65| = 15
|70 - 65| = 5
3. Calculate the mean of the absolute deviations. Add up all the absolute deviations and divide by the total number of values:
Mean Absolute Deviation = (25 + 15 + 25 + 5 + 15 + 5) / 6
= 90 / 6
= 15 minutes
Therefore, the mean absolute deviation for the given data set is 15 minutes, not 65.
To find the mean absolute deviation, follow these steps:
Step 1: Find the mean (average) of the data set.
Add up the lengths of time spent at the pool:
40 + 50 + 90 + 60 + 80 + 70 = 390
Divide the sum by the number of data points:
390 / 6 = 65
So, the mean is 65.
Step 2: Find the absolute deviation for each data point by subtracting the mean from each value and taking the absolute value:
|40 - 65| = 25
|50 - 65| = 15
|90 - 65| = 25
|60 - 65| = 5
|80 - 65| = 15
|70 - 65| = 5
Step 3: Find the mean of the absolute deviations.
Add up the absolute deviations:
25 + 15 + 25 + 5 + 15 + 5 = 90
Divide by the number of data points:
90 / 6 = 15
So, the mean absolute deviation is 15.