1.What is the mean of the given distribution, and which type of skew does it exhibit? {4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3
marysya [2.9K]
Mean = (4.5 + 3 + 1 + 2 + 4 + 3 + 6 + 4.5 + 4 + 5 + 2 + 1 + 3 + 4 + 3 + 2)/16 = 50/16 = 3.125
The data set arranged in order is 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4.5, 4.5, 5, 6
The mean is relatively in the middle, therefore if exhibits center skewness.
Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.
<h3>Variation</h3>
y = k × x
where,
k = constant of proportionality
y = -40
x = -5
y = k × x
-40 = k × -5
-40 = -5k
k = -40/-5
k = 8
when,
y = 8 and x = 2.5
y = k × x
8 = k × 2.5
8 = 2.5k
k = 8/2.5
k = 3.2
when,
y = 5 and x = 4
y = k × x
5 = k × 4
5 = 4k
k = 5/4
k = 1.25
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She will pay $1.50 for the hairbrush and her mum paid $1.50 as well
The perimeter of a rectangle is found by multiplying the length by 2 and the width by 2 and adding them together.
P = 2L + 2W
Filling in the information given we can find the width:
16.8 = 2(3.6) + 2W
16.8 = 7.2 + 2W
2w = 16.8 - 7.2
2w = 9.6
w = 9.6 / 2
w = 4.8 in.
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