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Elenna [48]
3 years ago
14

What is the interquartile range of this set of data? 15, 19, 20, 25, 31, 38, 41

Mathematics
1 answer:
Irina18 [472]3 years ago
8 0
First, you have to find the median, which is the number in the middle: 25

Then cut the data in half by the median, so your new data sets are
15,29,20
    and 
31,38,41

Now you find the median of both of those sets, which is 29 and 38.

The interquartile range is the difference between the numbers, so 38-29 = 9.
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Yanka [14]

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

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  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
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Step-by-step explanation:

<u>Step 1: Define Systems</u>

7x - y = 7

x + 2y = 6

<u>Step 2: Rewrite Systems</u>

Equation: x + 2y = 6

  1. [Subtraction Property of Equality] Subtract 2y on both sides:                    x = 6 - 2y

<u>Step 3: Redefine Systems</u>

7x - y = 7

x = 6 - 2y

<u>Step 4: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                7(6 - 2y) - y = 7
  2. Distribute 7:                                                                                                    42 - 14y - y = 7
  3. Combine like terms:                                                                                       42 - 15y = 7
  4. [Subtraction Property of Equality] Subtract 42 on both sides:                    -15y = -35
  5. [Division Property of Equality] Divide -15 on both sides:                             y = 7/3

<u>Step 5: Solve for </u><em><u>x</u></em>

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  2. Substitute in <em>y</em>:                                                                                                x + 2(7/3) = 6
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  4. [Subtraction Property of Equality] Subtract 14/3 on both sides:                  x = 4/3
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What is the value of a in the equation 5a -10b = 45 when b = 3
leva [86]
Salutations!

5a-10b = 45

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Now, you can solve the equation --

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separate the variables aside, and the numbers aside.

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Hope I helped (:

Have a great day!
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3 years ago
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