Question 1190711
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Part (a)


Add up the scores and you should get 636
Divide that over n = 10 (the number of scores) to get the arithmetic mean


Answer: 63.6


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Part (b)


Start by sorting the data to go from this
{88, 80, 75, 70, 38, 45, 70, 60, 60, 50}
to this
{38, 45, 50, 60, 60, 70, 70, 75, 80, 88}


The mode is the most frequent value. In this case, there are two values that tie for the most frequent
60 shows up twice, and so does 70.
It's possible to get more than one mode.


Answer: Mode = {60, 70}


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Part (c)


The median of 
{38, 45, 50, 60, 60, 70, 70, 75, 80, 88}
is the midpoint between slot 5 and slot 6



Averaging the numbers in those slots gets us (60+70)/2 = 130/2 = 65
The median is 65
Split the data set into two halves based on this middle marker


L = numbers lower than 65
L = {38, 45, 50, 60, 60}
U = numbers above 65
U = {70, 70, 75, 80, 88}


Now find the median of set L to get Q1 = 50
Q1 = first quartile


We also find that Q3 = 75 is the median of set U.


The five number summary of this data set is
min = 38
Q1 = 50
median (Q2) = 65
Q3 = 75
max = 88


Answer: 75 is the third quartile

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