1) what is the mean of the data set?

{21, 23, 25, 25, 26, 28, 28, 28, 31, 33}

a) 26.8

b) 27

c) 27.8

d) 28

2) there are 16 types of flowers used to decorate for a party. twelve of the flowers types last an average of 4 days before they wilt. the remaining flowers last an average of 6 days.

what is the average number of days before the flowers wilt?

3) what is the interquartile range of the data set?

{48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}

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1) Mean of {21, 23, 25, 25, 26, 28, 28, 28, 31, 33}
Mean = (21+23+25+25+26+28+28+28+31+33)/10 = 26.8

2) Average of the 12 flowers = 4 days
    Average of the 4 remaining flowers = 6 days
    Average of these 2 averages is (4+6)/2 = 10/2  = 5days

3) IQR of {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}
To find the Inter Quartile Range, you have to:

a) Order data set from smaller to higher:
    [42,42,45,45,48,50,50,55,60,65,80}

b) Find the Median (central value) of the set: Tat is 50 (this is called Q2), which is the Median

c) Split data on the left of the first 50, into half, the median of this half is 45
This is called Q1 =45 (first quartile)

d) Split data on the right of the first 50, into half, the median of this half is 60
This is called Q3 = 60 (3rd quartile)
Now to find the Inter Quartile Range we have to subtact Q1 from Q3:

IQR = Q3 - Q1 = 60 - 45 = 15

1)a
2)5
3)Population size:11
Lower quartile (xL): 45
Upper quartile (xU): 60

Interquartile range (xU-xL): 15

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