Mathematics, 08.03.2020 21:46 jaeheon287

98, 64, 75, 57, 86, 60, 91, 98, 79
Find the median
Find the median of the first
quartile
find the median of the third quartile
What is the inter quartile range

Answers: 2

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Answers

Answer from: csuggs8

The median is 79

The median of the first quartile is 62

The median of the third quartile is 94.5

The inter quartile range is 32.5

Step-by-step explanation:

The median is the middle number of arranged number from smallest to greatest

The median of the first quartile is the middle number of the numbers before the median

The median of the third quartile is the middle number of the numbers after the median

The inter quartile range is the difference of the median of the 3rd quartile and the median of the 1st quartile

The numbers are 98, 64, 75, 57, 86, 60, 91, 98, 79

Let us arrange the numbers from small to big

57, 60, 64, 75, 79, 86, 91, 98, 98

They are 9 numbers

The middle one is the 5th number (4 before it and 4 after it)

The 5th number is 79

The median is 79

The numbers before the median are 57, 60, 64, 75

They are 4 numbers

The middle numbers are 2nd and 3rd

The median is the average of them

The 2nd number is 60 and the 3rd number is 64

The median of the first quartile = $\frac{60+64}{2}$ = 62

The median of the first quartile is 62

The numbers before the median are 86, 91, 98, 98

They are 4 numbers

The middle numbers are 2nd and 3rd

The median is the average of them

The 2nd number is 91 and the 3rd number is 98

The median of the third quartile = $\frac{91+98}{2}$ = 94.5

The median of the third quartile is 94.5

The inter quartile range = third median - first median

First median = 62

Third median = 94.5

Inter quartile range = 94.5 - 62 = 32.5

The inter quartile range is 32.5

Answer from: Quest

b: |12 – x| ≤ 0.25

step-by-step explanation:

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

Answer from: Quest

2/3

step-by-step explanation:

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98, 64, 75, 57, 86, 60, 91, 98, 79
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