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Using this boxplot, answer question A, B, C. A. If the largest observation was r

ID: 3341123 • Letter: U

Question

Using this boxplot, answer question A, B, C.

A. If the largest observation was recorded as 60 instead of 34, the new mean
1. Not enough information to tell
2 .Stays the same
3. Increases slightly

B. If the largest observation was recorded as 60 instead of 34, the new median would
1. Not enough information to tell
2. Stays the same
3. Increases slightly

C. If the largest observation was recorded as 60 instead of 34, the new IQR would
1.Decreases slightly
2. Increases slightly
3.Not enough information to tell
4. Stays the same

MTB>boxplot c3 C3 16.0 20.0 24.0 28.0 32.0

Explanation / Answer

Answer-

A.  If the largest observation was recorded as 60 instead of 34, the new mean will increase slightly as mean considers summation of all values divided by number of values.

In this boxplot, dot in the right ( outlier) will shift to 60.

B.  If the largest observation was recorded as 60 instead of 34, the new median will not be affected as median is the center most value, which will be same after this change.

Boxplot will not change as far as median is considered, only dot in the right ( outlier) will shift to 60.

C.   If the largest observation was recorded as 60 instead of 34, the new IQR will not be affected as it is equal to Q3 -Q1 which again are measure of location.

TY!