1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
100 points! Please help ASAP! Look at the picture attached. I will mark brainliest
cricket20 [7]

Answer:

  • 116 ft

Step-by-step explanation:

Midsegment is the half the length of the parallel side of the triangle.

So parallel sides of the triangles, which are the side of the base of the pyramid are:

  • 58*2 = 116 ft
5 0
2 years ago
Read 2 more answers
Wh/o wan/t to ch/at?
Inessa05 [86]
Me sure ok what vtofneongorco
6 0
3 years ago
Explain why (a+b)^2 = a^2+b^2 if and only if a=0 or b=0
const2013 [10]

Hope this helps! Because when you would fill in the variables 0=0 which which make the expression too that they’d equal the same.

7 0
3 years ago
A function and its inverse are shown on the same graph. Which statement describes the relationship between the function and its
Korvikt [17]

Answer:C

Step-by-step explanation:on edge

5 0
3 years ago
Each Purse Contains 8 Coins. Find A rule to give the total number of coins in 'n' purses.
kozerog [31]

Answer:

8n

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • The formula for (a-b)^2 is a^2-2ab+b^2.
    15·1 answer
  • The equation of motion of a block with mass m = 8 kg. attached to a spring whose spring Constant is k = 2 and which starts from
    12·1 answer
  • Please help me do number 3 and number 4
    12·1 answer
  • I have no idea how to do this! Please help
    11·1 answer
  • Complete the square to find the vertex of this parabola.PLEASE HELP!!
    13·1 answer
  • Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
    9·2 answers
  • Rewrite (7/9) ^-1 without an exponent
    8·2 answers
  • Please help Me I Make You an Brainalist ​
    15·2 answers
  • Solve the simultaneous equations<br> 4x + 5y = 4<br> 2x - y = 9<br> Show clear algebraic working.
    13·2 answers
  • A storage box has a base area of 314.5 square inches and a height of 8.5 inches. What is the volume of 5 of these boxes. Enter y
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!