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}

three question 20 ! will mark brainliest if answer all !

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

Interquartile range (xU-xL): 15

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

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c

The american colonies would have been ruled by a king.