The table lists Jude’s data for how many people walk into a store each half hour. The mean is 22.3. Identify the absolute deviation for each missing value. Round each value to the nearest tenth.
Data Point Absolute Deviation
5 17.3
10 12.3
45 1$$22.7
12 10.3
27 2$$4.7
35 12.7
Score
If we assume that the missing values are actual data points from the same data set, then we can use the formula for calculating the absolute deviation:
|data point - mean|
Using this formula, we can estimate the absolute deviation for the missing values:
Data Point Absolute Deviation
5 17.3
10 12.3
45 22.7
12 10.3
27 4.7
35 12.7
Assuming that the sample size is 6, we can use the formula for calculating the mean absolute deviation to find the average absolute deviation from the mean:
(mean absolute deviation) = (sum of absolute deviations) / (sample size)
(mean absolute deviation) = (17.3 + 12.3 + 22.7 + 10.3 + 4.7 + 12.7) / 6
(mean absolute deviation) = 13.83
Therefore, we can estimate that the average deviation of the missing values from the mean is approximately 13.83.
I apologize, my previous response was incorrect. Without additional information, it is not possible to accurately determine the absolute deviation for the missing values.
Absolute deviation is the difference between a data point and the mean, regardless of whether the difference is positive or negative. In order to calculate absolute deviation for the missing values, we need to know what those values are and the sample size of the data set.
I apologize for any confusion my earlier response may have caused.
Without any additional information, we cannot accurately determine the absolute deviation for the missing values. We need to know the actual values for the missing data points in order to calculate their absolute deviation.
that's all the info their giving me please try
how did you get 22.7
For the missing value of 45, we can estimate its absolute deviation from the mean as follows:
|45 - 22.3| ≈ 22.7
Since the mean is 22.3, we can estimate that the absolute deviation for a value of 45 is approximately 22.7. However, this is just an estimation based on the assumption that the missing value is a genuine data point from the same data set.
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.
The formula for mean absolute deviation is:
(mean absolute deviation) = (sum of absolute deviations) / (sample size)
To determine the mean absolute deviation for Leon's data set, we first need to calculate the absolute deviation for each data point. The absolute deviation for each data point is the absolute value of the difference between the data point and the mean.
Using the given values, we can calculate the absolute deviation for each data point as follows:
|18 - 15.2| = 2.8
|24 - 15.2| = 8.8
|15 - 15.2| = 0.2
|9 - 15.2| = 6.2
|10 - 15.2| = 5.2
Next, we can calculate the sum of the absolute deviations:
2.8 + 8.8 + 0.2 + 6.2 + 5.2 = 23.2
Finally, we can use the formula for mean absolute deviation to determine the average absolute deviation from the mean:
(mean absolute deviation) = (sum of absolute deviations) / (sample size)
(mean absolute deviation) = 23.2 / 5
(mean absolute deviation) = 4.64
Therefore, the final equation for determining the mean absolute deviation for Leon's data set is:
(mean absolute deviation) = (sum of |data point - mean|) / (sample size)
(mean absolute deviation) = (|18 - 15.2| + |24 - 15.2| + |15 - 15.2| + |9 - 15.2| + |10 - 15.2|) / 5
(mean absolute deviation) = 4.64 (rounded to the nearest tenth)