Answer:
Median: stays the same
Mean: decreases.
Explanation:
The median of a data sample is the middle number when the data is ordered from least to greatest.
Now before 409 is replaced by 274, the median of the data is
[tex]177,252,283,298,\boxed{317},318,348,397,409[/tex]
After we replace 409 with 274, the data becomes
[tex]177,252,283,298,317,318,348,397,274[/tex]
the median is still the same:
[tex]177,252,283,298, \boxed{317}, 318,348,397,274[/tex]
Part B.
The mean is defined as the average of the data.
Therefore, to find the mean of our sample data, we'd sum all numbers and divide by 9 ( since there are 9 numbers in total).
[tex]Average=\frac{177+252+283+298+317+318+348+397+409}{9}[/tex]
Now, the average is affected by all numbers in the data set, especially the outliers.
Therefore, if we replace the bigger number 409 by a smaller number "40"
