Aliyah interviewed 20 people who have just one sibling. She asked them what the difference in age, in years, is between them and their siblings. The line plot below shows Aliya’s data.
Aliyah removes the point representing the 10- year age difference from her data. Which measures changes the least in value when this point is removed from Aliyah’s data?
Mode is the most frequently occurring value of the data. From the above line plot we can see that the most frequently occurring value is 3. Even if 10 is removed from the line plot, 3 will still be the most frequently occurring value and will be the mode of the data. Thus removing 10 does not changes the mode of the data at all.
The mean will obviously be changed. The range is difference of maximum and minimum value. 10 was initially the maximum value. If 10 is removed, the maximum value will change and so does the Range of the data. Removing 10 changes the total number of data values, so the position of median also changes which changes the value of Median.
Therefore, the correct answer to this question is option C
