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Vesna [10]
3 years ago
6

Suppose a biologist studying the mechanical limitations of growth among different species of tulips monitors a national preserve

. He collects data on the heights of 10 different types of tulips in the reserve and rounds each height to the nearest centimeter.
25,21,26,24,29,33,29,25,19,24

Compute the first quartile (Q1), the third quartile (Q3), and the interquartile range (IQR) of the data set.
Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer:

Q_1 = 24

Q_3 = 29

IQR= Q_3 -Q_1 = 29-24 =5

Step-by-step explanation:

For this case we have the following dataset:

25,21,26,24,29,33,29,25,19,24

The first step is order the data on increasing order and we got:

19, 21, 24, 24, 25, 25, 26, 29, 29 , 33

For this case we have n=10 an even number of data values.

We can find the median on this case is the average between the 5 and 6 position from the data ordered:

Median = \frac{25+25}{2}=25

In order to find the first quartile we know that the lower half of the data is: {19, 21, 24, 24, 25}, and if we find the middle point for this interval we got 24 so this value would be the first quartile Q_1 = 24

For the upper half of the data we have {25,26,29,29,33} and the middle value for this case is 29 and that represent the third quartile Q_3 = 29

And finally since we have the quartiles we can find the interquartile rang with the following formula:

IQR= Q_3 -Q_1 = 29-24 =5

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11 5/9 + 10 1/3 plz help
Likurg_2 [28]
10 1/3= 31/3
31/3= 93/9

11 5/9= 104/9
93/9 + 104/9 = 197/9
197/9= 21 8/9



your answer is 21 & 8/9


Good Luck
XD
7 0
3 years ago
city water tank holds 20 gallons of water. A technician empties 25% of the tank. How many more gallons of water must be removed
eduard

Answer:

7

Step-by-step explanation:

7 0
3 years ago
Pete’s Painting Company will charge a one-time fee of $60 for labor and $20 for each room painted. Carla’s Creative Colors will
Nadya [2.5K]

Answer:

Pete's: f(x) = 20x + 60

Carla's: f(x) = 40x + 20

Step-by-step explanation:

Let's assume that x is the amount of rooms painted, and f(x)

For Pete's Painting Company, they charge a flat fee of $60, so we will have a constant of 60.

They also charge 20$ per room, meaning that we will multiply 20 by x, the amount of rooms painted.

This gets us the function f(x) = 20x + 60

For Carla's Creative Colors, they charge 20$ to hire the workers, meaning this will be our constant.

They also charge $40 a room, meaning we will multiply 40 by x, the amount of rooms painted.

So the function is  f(x) = 40x + 20.

Hope this helped!

3 0
3 years ago
Solve, showing all work:<br> (4x − 6) + (3x + 6)
Kitty [74]

Answer:

7x

Step-by-step explanation:

4x−6+3x+6

=4x+−6+3x+6

Combine Like Terms:

=4x+−6+3x+6

=(4x+3x)+(−6+6)

=7x

4 0
3 years ago
Read 2 more answers
Write the equation of the line that contains the given point and has the given slope.
Ray Of Light [21]

Answer:

y - 8 = 3(x - 8)

Step-by-step explanation:

Point-Slope Form: y + y₁ = m(x + x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step 1: Define

Point (-8, -8)

Slope <em>m</em> = 3

Step 2: Write in point-slope form

y - 8 = 3(x - 8)

6 0
3 years ago
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