Mary's making curtains out of some fabric for five windows the two larger windows are the same size and the three smaller windows are the same size the one larger window requires 3 3/4 of fabric and one smaller window needs one and one third yard of fabric how many yards of material will mary need

So we have 2 large windows, each needing 3 3/4 yds of fabricand 3 small windows, each needing 1 1/3 yds of fabric

2(3 3/4) + 3(1 1/3) =
2(15/4) + 3(4/3) =
30/4 + 12/3 =
7 1/2 + 4 =
11 1/2 (or 11.5) yds of fabric are needed <==

Step-by-step explanation:

a )

sample mean = sum total of given data / no of data

= 415.35 / 20 = 20.76

To calculate the median we arrange the data in ascending order and take the average of 10 th and 11 th term .

= 20.50 + 20.72 / 2

= 20.61

b ) To calculate the 10% trimmed mean , we neglect the largest 10% and smallest 10 % data and then calculate the mean . Here we neglect the first two smallest and last two greatest

(18.92 + 19.25 + 22.43 + 22.85) / 16

= 20.74

c )

We can easily plot the data on number line from 17 to 24

d )

Maximum value of data set = 23.71 and minimum value is 18.04

mean is 20.76 , median is 20.61 and trimmed mean is 20.74

They are between maximum and minimum values of given data . Hence there is no outliers .