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
Neporo4naja [7]
3 years ago
6

Explain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that th

e standard deviation has over the interquartile​ range?
Mathematics
1 answer:
KatRina [158]3 years ago
8 0

Answer:

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

Step-by-step explanation:

Previous concepts

The interquartile range is defined as the difference between the upper quartile and the first quartile and is a measure of dispersion for a dataset.

IQR= Q_3 -Q_1

The standard deviation is a measure of dispersion obatined from the sample variance and is given by:

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Solution to the problem

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

You might be interested in
Santa's Wonderland is an extravagant holiday light display that is open from early November through January each year. The entry
Fofino [41]
Ok,
 f(0.35)= 7f/20

f(-5.2)=-26f/5

f(10)= 10f

f(-0.5)= -f/2

as for the last question I am not quite sure, sorry....hope I helped a little :)

5 0
3 years ago
Is 481216 a rational or irrational
Nastasia [14]

<u><em>4821216 is rational</em></u>. the definition of rational is a number that ends. this number ends in the ones place which means it is rational

7 0
2 years ago
Read 2 more answers
What is the smallest value of x, such that
gizmo_the_mogwai [7]

Answer:

Dude, where's the picture?

8 0
2 years ago
What's the property of equality of r- 20 = 30
galina1969 [7]

Answer:

r= 10

Step-by-step explanation:

30 - 20 = 10

3 0
2 years ago
Read 2 more answers
alex wong basketball after making a half court shot. the display box for his new basketball is in the shape of a cube. alex meas
suter [353]

408.454 cubic inches of air is surrounding the ball in the box

Step-by-step explanation:

When a sphere is inscribed in a cube and touching all of its faces, then

  • The diameter of the sphere = the side of the cube
  • The empty volume of the cube is the difference between the volume of the cube and the volume of the sphere

∵ The basketball is shaped a sphere

∵ The box is shaped a cube

∵ The ball touching every wall of the box

∴ The diameter of the ball = the side of the box

∵ The length of one side of the cube = 9.5 inches

∴ The diameter of the ball = 9.5 inches

∵ The diameter of the ball = 2 r, where r is the radius of the ball

∴ 9.5 = 2 r

- Divide both sides by 2

∴ r = 4.75 inches

∵ The volume of the air that surrounded the ball in the box =

   volume of the box - volume of the ball

∵ Volume box (cube) = s³

∵ s = 9.5 inches

∴ Volume of the box = (9.5)³

∴ Volume of the box = 857.375 inches³

∵ Volume the ball (sphere) =  \frac{4}{3} π r³

∵ r = 4.75

∴ Volume the ball = \frac{4}{3} (π)(4.75)³

∴ Volume the ball = 448.921 inches³

Substitute the values of the volumes of the box and the ball in the rule above

∴ The volume of the air = 857.375 - 448.921

∴ The volume of the air = 408.454 inches³

408.454 cubic inches of air is surrounding the ball in the box

Learn more:

You can learn more about volume of solids in brainly.com/question/12497249

#LearnwithBrainly

6 0
3 years ago
Other questions:
  • Just 6 pleaseeeeeeeeeee
    13·2 answers
  • Is the triangle a right triangle? Explain.
    14·1 answer
  • Get ready for school from 6:55 to 6:44 how many minutes passed
    7·2 answers
  • Colin invests £3900 into his bank account.
    6·1 answer
  • I need help i know the answer i just don't get it ​
    14·1 answer
  • What is -1/6 (-4 1/3) ?
    15·2 answers
  • Find H <br> Need help please!!!!
    6·2 answers
  • In triangles ABC and LMN, ∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N. Is this information sufficient to prove triangles ABC and LMN congruent
    13·1 answer
  • Place the digits, 3, 4, 5, 6, 7 and 8 in the spaces provided to make the largest possible product. Write down your answer.
    8·2 answers
  • WILL GIVE BRAINLIEST IF ANSWER. PLEASE HELP ITS A 6TH GRADER QUESTION
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!