Answer :
To find the absolute deviation of 62 in the given data set [tex]\(\{80, 75, 25, 62, 68\}\)[/tex], we need to follow these steps:
1. Calculate the Mean of the Data Set:
To find the mean (average) of the data set, add up all the numbers and then divide by the total number of values in the set.
[tex]\[
\text{Mean} = \frac{80 + 75 + 25 + 62 + 68}{5} = \frac{310}{5} = 62
\][/tex]
2. Calculate the Absolute Deviation:
The absolute deviation for a specific value is the absolute difference between that value and the mean of the data set.
For the value 62, the absolute deviation is:
[tex]\[
\text{Absolute Deviation} = |62 - 62| = |0| = 0
\][/tex]
So, the absolute deviation of 62 in the data set is 0.
1. Calculate the Mean of the Data Set:
To find the mean (average) of the data set, add up all the numbers and then divide by the total number of values in the set.
[tex]\[
\text{Mean} = \frac{80 + 75 + 25 + 62 + 68}{5} = \frac{310}{5} = 62
\][/tex]
2. Calculate the Absolute Deviation:
The absolute deviation for a specific value is the absolute difference between that value and the mean of the data set.
For the value 62, the absolute deviation is:
[tex]\[
\text{Absolute Deviation} = |62 - 62| = |0| = 0
\][/tex]
So, the absolute deviation of 62 in the data set is 0.
