How do I do numbers 2-4?1
Exam #3: Final Exam
Online Math 117: Elementary Statistics
Due: Monday, May 18
, 2015 by 1:00 p.m.
** YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT **
** QUESTIONS THAT HAVE ONLY AN ANSWER WILL RECEIVE NO POINTS **
Problem 1 (16)
On the TV show
Deal or No Deal
, a contestant chooses from among 26 suitcases, each containing a dollar
amount. These dollar amounts are:
Using only the table, determine the median prize amount.
The median is calculated by using the two middle numbers since there is an even amount of
numbers total. I will use the numbers 750+1000/2=
Without doing any calculations, how do you expect the mean to compare to the median prize
I would expect the mean to be higher than median because it seems like the
higher numbers are extremely high compared to the lower set of numbers.
Use technology to compute the mean of the prize amounts.
In order to calculate the mean I
added up each of the 26 numbers together and then divided by 26 to come up with the average per
Did your calculation confirm your prediction from part (b)? Are the mean and median close to
each other? Explain why this makes sense.
The calculation of the mean confirmed my prediction
that the mean would be much higher than the median. They are not close to each other at all,
which is what I thought based on the high numbers being extremely high compared to the median
of the sequence.
How many and what proportion of the prize amounts are greater than the mean?
There are a
total of 6 prize amounts greater than the mean. 6/26=.231 is the proportion of prize amounts
larger than the mean.
How many and what proportion of the prize amounts are greater than the median?
There are 13
prize amounts greater than the median. 13/26=0.5 is the proportion size of amounts larger than