The difference in the means if you replace the outlier of 78 dollars with 42 is 2.00.
In Mathematics, the mean or average for any set of data can be calculated by using the following formula:
Mean = ∑x/n
Where:
- ∑x represents the sum of all data values.
- n represents the total number of data items.
Based on the information provided, the mean with an outlier of 78 can be calculated as follows;
Mean of data set = [tex]\frac{56+56+57+57+57+57+57+58+61+61+62+62+62+64+64+68+69+78}{18}[/tex]
Mean of data set = 61.44.
By replacing the outlier of 78 dollars with 42, the mean is given by;
Mean of data set = [tex]\frac{56+56+57+57+57+57+57+58+61+61+62+62+62+64+64+68+69+42}{18}[/tex]
Mean of data set = 59.44.
Difference in means = 61.44 - 59.44
Difference in means = 2.00