{24, 95, 76, 60, 15, 48, 80, 75} a. Mean = b. Median c. Mode =

Mathematics

1 answer:

sp2606 [1]2 years ago

8 0

Answer:

a)59.125, b)67.5, c)None

Step-by-step explanation:

Mean = All values added up and divided by the number of values
$\frac{24+95+76+60+15+48+80+75}{8}$

Median = Put all numbers in order from least to most and use the middle one, if there are two, use the mean of those two
$15, 24, 48, 60, 75, 76, 80, 95$ . The middle ones are 60 & 75 so $\frac{60+75}{2}$

Mode = The number that repeats more times. In this case none of them repeat.

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Find the value of x from this adjoining figure

Fiesta28 [93]

Answer:

$x=15^\circ$

Step-by-step explanation:

Please refer to the attached figure for labeling of given diagram:

We are given the following angles:

$\angle AOC = 3x^\circ\\\angle BOD = 2x^\circ\\\angle EOF = 7x^\circ$

Angles opposite to each other when they are formed by crossing of two lines are known as vertically opposite angles. And vertically opposite angles are always equal to each other.

Using property of vertically opposite angles:

$\angle EOF = \angle AOB = 7x^\circ$

Line CD is a straight line, so $\angle COD = 180^\circ$

Also,

$\angle COD = \angle COA+\angle AOB+\angle BOD = 180^\circ\\\Rightarrow 3x + 7x + 2x=180^\circ\\\Rightarrow 12x =180^\circ\\\Rightarrow x = \dfrac{180}{12}\\\Rightarrow x = 15^\circ$