Answer:
- The mean will decrease, while the median remains unchanged.
Explanation:
Using asterisks instead of dots, the plot described is as follows:
Minutes spent by Sarah getting ready for school, rounded to the nearest five minutes:
* *
* * * * *
* * * * * *
5 10 15 20 25 30 35 40 45 50 55 60
<pwhen the="">new point,
15 minutes, is added to the plot, it becomes:
* *
* * * * *
* * * * * * *
5 10 15 20 25 30 35 40 45 50 55 60
We need to observe the impacts on the mean and median in both datasets.
The mean will decrease:
The mean is expected to decrease as including a lower value will lower the overall mean.
The calculation is:
- Mean = Total of values / number of values.
- By incorporating a low value (less than the previous mean), the new mean calculation will yield a lower figure.
The median will remain unchanged:
Initially, the first graph contains 13 dots, making the median the value at the seventh dot, which is 45.
In the second graph, there are 14 dots, thus the median is the average of the seventh and eighth positions, both of which are 45, resulting in an overall median of 45.
Therefore, the mean will decrease while the median stays the same.
</pwhen>
