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garik1379 [7]
4 years ago
12

The difference of the range and the interquartile range of the data set represented by the box plot is

Mathematics
2 answers:
blsea [12.9K]4 years ago
7 0

Answer:

10

Step-by-step explanation:

R-IQR

Varvara68 [4.7K]4 years ago
5 0

Answer:

R - IQR = 10

Step-by-step explanation:

The interquartile range is IQR is:

IQR = Q_3 -Q_1

Where:

Q_3 = third quartile

Q_1 = first quartile

So the interquartile range is the difference between the highest quartile and the lowest quartile. In other words, it is the width of the box in the diagram.

So:

IQR = 29 -21\\IQR = 8

The R range is the difference between the highest value and the lowest. In other words:R = 34 -16\\R = 18

Finally:

R - IQR = 18 - 8 = 10

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Answer:

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4 years ago
Callie has 2 cans of orange paint with 4.5 gallons in each can. She also has 910 of a gallon of black paint. Her brother took 0.
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Answer:

The total amount of paint left is 1.6 gallon of paint remaining

Where she has:

1.5 gallon of orange paint left and 0.1 gallon of black paint left.

Step-by-step explanation:

Step 1

Callie has 2 cans of orange paint with 4.5 gallons in each can.

The total gallons of orange paint that she has is given as:

1 can = 4.5 gallons

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Cross Multiply

x = 4.5 gallons × 2 cans

x = 9 gallons of orange paint.

She also has 9/10 of a gallon of black paint.

Her brother took 0.8 gallon of the black paint

and 3.75 gallons from each of the cans of orange paint.

Since there are 2 cans, the total gallons of orange paint that her brother took = 2 × 3.75 gallons

= 7.5 gallons

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For orange paint

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For black paint

We are told that: She also has 9/10 of a gallon of black paint.

Converting to decimal

= 0.9 gallon of black paint.

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The total gallon of black paint that she has left =

0.9 gallon - 0.8 gallon

= 0.1 gallon of black paint left.

The total amount of paint Callie has remaining after her brother took the stated amounts is:

1.5 gallon of orange paint + 0.1 gallon of black paint = 1.6 gallon of paint remaining

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