All categories

3 years ago

What is the upper quartile of this data set? 82, 97, 98, 100, 102, 102, 106, 112

Mathematics

2 answers:

snow_lady [41]3 years ago

7 0

Answer:

104

Step-by-step explanation:

The upper quartile is the median of the upper half of the data set, and that is 104.

vova2212 [387]3 years ago

3 0

Answer:

104

Step-by-step explanation:

In this set data set (82, 97, 98, 100, 102, 102, 106, 112) the median is 101

This means that the upper quartile is 104

To find the upper quartile, you take the numbers that come after the median, and find the median of that set. So when finding the upper quartile of this data set, you will only look at the numbers 102, 102, 106, 112, and the median of this is 104.

You might be interested in

A chicken farmer also has cows for a total of 30 animals, and the animals have 66 legs in all. How many chickens does the farmer

hammer [34]

Answer:

27 chickens

Step-by-step explanation:

A chicken farmer also has cows for a total of 30 animals

Both animals have a total of 66 legs

Let a represent the number of chicken

Let b represent the number of cows

a + b= 30........equation 1

Since a chicken has only two legs and a cow has four leg then, the expression can be represented as

2a + 4b= 66........equation 2

From equation 1

a + b= 30

a = 30-b

Substitute 30-b for a in equation 2

2a + 4b= 66

2(30-b) + 4b= 66

60 - 2b + 4b= 66

60 + 2b= 66

2b= 66-60

2b= 6

b= 6/2

b= 3

Substitute 3 for b in equation 1

a + b = 30

a + 3=30

a= 30-3

a= 27

Hence the farmer has 27 chickens

5 0

4 years ago

When n is a factor of a number, all factors of n are also factors of the number

Eduardwww [97]

This would be True. For example. If your number is 24, and 'n' is 12 ( a factor of 24 )
your factors of 12 (12, 6, 4, 3, 2, 1) are also included in the factors of 24 (which are 24, 12, 6, 4, 3, 2, 1)

7 0

3 years ago

Find the area of the shape below. Break<br> the larger shape into smaller pieces if needed.

NikAS [45]

Answer:

116 Sq inches

Step-by-step explanation:

3×area of rectangle (l× b) + 2 area of triangle (1/2 b h)

3×32 + 2×1/2×4×5

96 + 20

116

5 0

2 years ago

Solve the equation. 2/3 - 4x 7/2= -9x+ 5/6 step by step

Lostsunrise [7]

Answer: $\bold{x=\dfrac{11}{21}}$

<u>Step-by-step explanation:</u>

$\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}$

NOTE: The sign between 4x and 7 is missing in the question you posted. I assumed it was 4x + 7 in order to solve the equation.

6 0

3 years ago

Read 2 more answers

Write an equation for a direct variation that includes the point (3, 18)

erma4kov [3.2K]

Direct variation means that the line goes through the origin of the graph, so you know that the line must go through point (0,0). Using that along with the given point, you can find the slope of the line.

m = $\frac{y_2 - y_1}{x_2 - x_1}$
m = $\frac{18 - 0}{3 - 0}$
m = $\frac{18}{3}$
m = 6

Now that you know the slope of the line you are looking for is 6, you can plug that into a point-slope form equation and find the equation of your line.

y - y_1 = m (x - x_1) Plug in either set of coordinate. I chose (3, 18).
y - 18 = 6 (x - 3) Use he Distributive Property
y - 18 = 6x - 18 Add 18 to both sides
y = 6x

The equation of a direct variation line that includes the point (3, 18) is y = 6x.

3 0

3 years ago