Question

Distance from Hometown
150
45
65
275
0
18
100
250
3000
120
10
130
288

Above data shows 13 values of the variable "distance from hometown to campus" that were provided by the students in a recent statistics class.

A. Find the mean and the median.

_____mean (round to 1 decimal place in your answer)
____median

B. Suppose the family of the student with data value 3000 moves to Tel Aviv, Israel; this changes the data value for this student from 3000 to 6000. Calculate the new mean and new median when 3000 is replaced by 6000.

_____new mean (round to 1 decimal place in your answer)
_____new median

C. Now suppose that the families of the other 5 students whose values are greater than the median also move to new locations so that each student's data value is twice as large as the original data value. (The data values of the students less than the median do not change and the 6000 data value remains at 6000). Calculate the new mean and the new median.

______new mean (round to 1 decimal place in your answer)
_____new median

D. Suppose now that the 6 students whose data values are less than the median also move to new locations so that each student's data value is half as large as the original data value. (Note that half of 0 is 0; all the data values greater than the median keep the same new values from question 3). Calculate the new mean and the new median.

_____ new mean (round to 1 decimal place in your answer)
____new median

Answer 1

Answer a)

Mean = 342.4

Median = 120

Answer b)

Mean = 573.2

Median = 120

Answer c)

Mean = 657.2

Median = 120

Answer d)

Mean = 648.1

Median = 120