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saul85 [17]
3 years ago
11

The following table shows the number of hours some high school students in two towns spend riding the bus each week:

Mathematics
1 answer:
Alexeev081 [22]3 years ago
5 0

Part A:

The five number summary is consisting of : Median or 2nd quartile(Q2), 1st quartile(Q1), 3rd quartile(Q3), Lowest and Highest values.

For creating the five number summary for each set, first we need to rearrange the data set in ascending order:

Town A : 3 4 5 5 6 7 9 9 20

Median is the middle value in the set. Here, the middle value is 6. So the median or second quartile(Q2) = 6. The lowest value is 3 and highest value is 20.

The median splits the remaining data into two sets. The first set is 3, 4, 5, 5. The median of this set is \frac{4+5}{2}= \frac{9}{2}  =4.5

So, first quartile (Q1) = 4.5

The other set is 7, 9, 9, 20. The median of this set is: \frac{9+9}{2}=\frac{18}{2}=9

So, third quartile (Q3) = 9

The interquartile range(IQR)= Q3 - Q1 = 9 - 4.5 = 4.5

Town B : 3 3 5 5 6 8 8 9 9

The middle value in the set is 6. So, the median or second quartile(Q2) =6. The lowest value is 3 and the highest value is 9.

The first set in the left of median is: 3 3 5 5 and median of this set= \frac{3+5}{2}=\frac{8}{2}=4

So, first quartile (Q1) = 4

The second set in the right of median is : 8 8 9 9 and the median of this set = \frac{8+9}{2}=\frac{17}{2}=8.5

So, third quartile (Q3) = 8.5

The interquartile range(IQR)= Q3 - Q1 =8.5 - 4 = 4.5

Part B:

A box plot is called symmetric when the median is in the middle of the box, that means Q2 should be equally distanced from Q1 and Q3.

For town A, distance between Q1 and Q2 = 6 - 4.5 = 1.5 and distance between Q2 and Q3 = 9 - 6 = 3. As the distances are different, so the box plot is not symmetric.

For town B, distance between Q1 and Q2 = 6 - 4 = 2 and distance between Q2 and Q3 = 8.5 - 6 = 2.5. As the distances are different, so this box plot is also not symmetric.

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Answer:

17a + 16 =

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2 years ago
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Andrew [12]

Answer:

(-3, 4)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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  • Left to Right

Equality Properties

  • Multiplication Property of Equality
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<u>Algebra I</u>

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Step-by-step explanation:

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

y = -x + 1

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<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    2x + 3(-x + 1) = 6
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<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                     y = -x + 1
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6 0
3 years ago
SHOW YOUR WORK and ill give brainlest :)
Rashid [163]

The price of the Xbox One after tax is $265

<h3><u>Solution:</u></h3>

The price of a Xbox one is $250

The tax on Xbox one is 6%  

Now, the tax of 6% on 250 is calculated as follows:-

=\frac{6}{100} \times 250\\\\=\frac{250 \times 6}{100}=\frac{1500}{100}=15

So, the tax on Xbox one is $15

The total price of box including tax can be calculated by adding price of box and tax on box

<em>Total price of Xbox after tax = actual price of the Xbox One  + Tax on the Xbox One </em>

= $250 + $15

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Hence, the price of the Xbox One after tax is $265

3 0
3 years ago
A total investment of $10,700 is made into two savings accounts. One account yields 5% simple interest and the other 6% simple i
AlladinOne [14]

Answer:

He earn $535.00 in the 5% account

Step-by-step explanation:

I =  \frac{prt}{100}

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r = 5%

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I = (10700×5×1)/100

= $535.00

(Correct me if i am wrong)

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3 years ago
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Ghella [55]
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