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
ser-zykov [4K]
3 years ago
12

construct a boxplot for the following data and comment on the shape of the distribution representing the number of

Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

Check the boxplot below,plus the comments

Step-by-step explanation:

1) Completing the question:

<em>Construct a boxplot for the following data and comment on the shape of the distribution representing the number of games pitched by major league baseball’s earned run average (ERA) leaders for the past few years. </em>

<em> </em>30 34 29 30 34 29 31 33 34 27  30 27 34 32

2) Arranging the distribution orderly to find the 2nd Quartile (Median):

27  27  29  29  30  30  30  31  32  33  34  34  34  34

Since n=14, dividing the sum of the 14th and 15th element by two:

Md=Q_{2}=\frac{30+31}{2} =30.5

3) Calculating the Quartiles, the Upper and the Lower one comes:

Q_{1}=29.25\\Q_{3}=33.75

4) Boxplotting (Check it below)

5) Notice that since the values are very close, then the box is not that tall. The difference between the Interquartile Range is not so wide what makes it shorter. Check the values on the table below.

You might be interested in
What eigen value for this matix <br> (1 -2)<br> (-2 0)
natali 33 [55]

You find the eigenvalues of a matrix A by following these steps:

  1. Compute the matrix A' = A-\lambda I, where I is the identity matrix (1s on the diagonal, 0s elsewhere)
  2. Compute the determinant of A'
  3. Set the determinant of A' equal to zero and solve for lambda.

So, in this case, we have

A = \left[\begin{array}{cc}1&-2\\-2&0\end{array}\right] \implies A'=\left[\begin{array}{cc}1&-2\\-2&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right]=\left[\begin{array}{cc}1-\lambda&-2\\-2&-\lambda\end{array}\right]

The determinant of this matrix is

\left|\begin{array}{cc}1-\lambda&-2\\-2&-\lambda\end{array}\right| = -\lambda(1-\lambda)-(-2)(-2) = \lambda^2-\lambda-4

Finally, we have

\lambda^2-\lambda-4=0 \iff \lambda = \dfrac{1\pm\sqrt{17}}{2}

So, the two eigenvalues are

\lambda_1 = \dfrac{1+\sqrt{17}}{2},\quad \lambda_2 = \dfrac{1-\sqrt{17}}{2}

5 0
2 years ago
Read 2 more answers
What should I do ? Where it’s say ‘ start here ‘?
azamat
Solve the question and go on from there like you were already doing.
8 0
3 years ago
Read 2 more answers
8/3×(−2 1/2) find the product
tensa zangetsu [6.8K]

Step-by-step explanation:

8/3 × -5/2 = -20/3

that is the answer

5 0
2 years ago
3х - 2y = 14<br> 5х + бу =42 <br> What’s this on a graph?
Gelneren [198K]

Answer:

Step-by-step explanation:

9x - 6y = 42

5x + 6y = 42

14x = 84

x = 6

30 + 6y = 42

6y = 12

y = 2

(6, 2)

8 0
3 years ago
The height of a triangle is 6 m more than its base. The area of the triangle is 56 m². What is the length of the base?
mr Goodwill [35]

Answer:

8

Step-by-step explanation:

x(x+6)/2=56

x^2(6x)=112

x^2(6x)-112=0

By trial and error, we can try base =1, height = 7, etc

base =8

height = 14

4 0
3 years ago
Other questions:
  • Wags eat 3/4 of a cup each day . How many full day will a bag with four cups last?
    13·2 answers
  • 9 to the third power
    7·2 answers
  • PLEASEEE Find the angles
    14·2 answers
  • B ∩ U A = U(B ∩ A).
    12·1 answer
  • mark has a board that is 12 feet long. he cuts the board into 8 pieces that are the same lenghth. how long is each piece?
    5·1 answer
  • PLZ HELP ANSWER AND EXPLAIN. (photo) #8
    7·1 answer
  • Three playing cards are placed in a row, from left to right. Each card is of a
    7·1 answer
  • Properties of parallelograms worksheet answers milliken publishing company mp3497 page 24
    9·1 answer
  • HURRYYY !!! it's a test !!!!! pls help. i'll give you brainliest and 15 points. pls show work !!!!
    8·1 answer
  • Ready Mathematics
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!