The outlier (61) is at the low end of the data set, but doesn't affect the mean by a lot, so ...
The mean is centered among the other numbers in both sets of data.
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The mean without the outlier is 114. With the outlier, it is 107.4. The lower quartile is 108, so the mean does get moved outside the "box" of the box-and-whisker plot of the data set without the outlier.
Step-by-step explanation:
All sides are congruent, therefore is an equilateral triangle.
It's also an isosceles acute triangle because two sides are congruent and all angles are acute.
It's also an isosceles triangle because two sides are congruent.
Step-by-step explanation:
let the numbers x and y
so x + y =13
x - y = 5
add two equations together
2x = 18
divide both side by 2
x = 9
sub in any equation
9 + y =13
y = 4
the numbers are 9 and 4
52.5% or it can also be a decimal if needed its 0.525
For question 3, you needn't worry about the number of total students asked. The question is really just asking you what's 45% as a fraction, which is 9/20. This is because 45% = 45/100, divided by 5 = 9/20.
For question 6, just substitute in the values. So you do 4(7 × 4 - 3 × -7), which gives you 4(28 - -21). Two minuses make a plus, so it's just asking you to do 4 × 49 (because 28 + 21 = 49). The answer is 196.
