05.02 LC)
1 answer:
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Answer:
see explanation
Step-by-step explanation:
The median is the middle value of the data set in ascending order. If there is no exact middle then the median is the average of the values either side of the middle.
Given
3 8 14 19 22 29 33 37 43 49
↑ middle is between 22 and 29
median = =
= 25.5
The upper quartile is the middle value of the data to the right of the median.
29 33 37 43 49
↑
= 37
The lower quartile is the middle value of the data to the left of the median.
3 8 14 19 22
↑
= 14
The min is the smallest value in the data set, that is 3
The max is the largest value in the data set, that is 49
The 5 number summary is
3, 14, 25.5, 37, 49
Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6)
Step-by-step explanation:
Part 1) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle
The area of rectangle is equal to
where
b is the base of rectangle
h is the height of rectangle
so
Part 2) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior square
The area of square is equal to
where
b is the length side of the square
so
Part 3) we know that
The area of the shaded region is equal to the area of four rectangles plus the area of one square
so
Part 4) we know that
The shaded region is equal to the area of the complete square minus the area of the interior square
so
Part 5) we know that
The area of the shaded region is equal to the area of triangle minus the area of rectangle
The area of triangle is equal to
where
b is the base of triangle
h is the height of triangle
so
Part 6) we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
The area of the circle is equal to
where
r is the radius of the circle
so