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
Margarita [4]
3 years ago
6

When a distribution is mound-shaped symmetrical, what is the general relationship among the values of the mean, median, and mode

? The mean is less than the median and mode. The mean is greater than the median and mode. The median and mean are approximately equal, but much greater than the mode. The mean, median, and mode are approximately equal.
Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer:

The mean, median, and mode are approximately equal.

Step-by-step explanation:

The mean, median, and mode are <em>central tendency measures</em> in a distribution. That is, they are measures that correspond to a value that represents, roughly speaking, "the center" of the data distribution.

In the case of a <em>normal distribution</em>, these measures are located at the same point (i.e., mean = median = mode) and the values for this type of distribution are symmetrically distributed above and below the mean (mean = median = mode).

When a <em>distribution is not symmetrical</em>, we say it is <em>skewed</em>. The skewness is a measure of the <em>asymmetry</em> of the distribution. In this case, <em>the mean, median and mode are not the same</em>, and we have different possibilities as the mentioned in the question: the mean is less than the median and the mode (<em>negative skew</em>), or greater than them (<em>positive skew</em>), or approximately equal than the median but much greater than the mode (a variation of a <em>positive skew</em> case).  

In the case of the normal distribution, the skewness is 0 (zero).

Therefore, in the case of a <em>mound-shaped symmetrical distribution</em>, it resembles the <em>normal distribution</em> and, as a result, it has similar characteristics for the mean, the median, and the mode, that is, <em>they are all approximately equal</em>. So, <em>the </em><em>general</em><em> relationship among the values for these central tendency measures is that they are all approximately equal for mound-shaped symmetrical distributions, </em>considering they have similar characteristics of the <em>normal distribution</em>, which is also a mound-shaped symmetrical distribution (as well as the t-student distribution).

You might be interested in
Help plz show all your steps
Elena L [17]

Answer:

$15.5

Step-by-step explanation:

33.50-18=15.5

jope it helps ypu a lot.

7 0
2 years ago
Does anyone know how to graph y=4x?
oksano4ka [1.4K]

Answer:

You can use something called Desmos... I hope this helped

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
5p coins weigh approximately 3 grams.
Elza [17]

Answer: 0.3 kg

Step-by-step explanation:

£5 = 500p

500p ÷ 5 = 100

100 x 3 = 300 grams

300 ÷ 1000 = 0.3 kg

Hope this helps :)

3 0
3 years ago
Read 2 more answers
amber has 4 peices of fruit 2 of the peices of fruit are bannanas right 2 fractions that discribe th fraction of fruit that are
Sedbober [7]
Total pieces of fruit = 4
Pieces of bananas = 2

Fraction of bananas = 2/4 = 1/2

Answer: 1/2

8 0
3 years ago
Read 2 more answers
-10÷_100(20+501) that is my home work
KIM [24]

Answer:

-52.1

Step-by-step explanation:

-10/100 = -0.1

-0.1 x 20 = -2

-0.1 x 501 = -50.1

                  +    -2

                   ____

                -52.1

5 0
3 years ago
Other questions:
  • 3. How would you convert 0.25 into a fraction in the simplest form?​
    7·2 answers
  • What is 78=g-97 equal?
    15·2 answers
  • Solve 4x+2=12 for using the change of base formula logby=logy over logb
    9·2 answers
  • 10th term 11 20 35 56 83
    14·1 answer
  • (EASY) WILL MARK BRAINEST! Is this graph a function?
    6·2 answers
  • Mark has a batting average of 0.21 what is the probability he has at least 5 hits his next 7 at bats
    7·1 answer
  • Garrett has one dollar less than three times as much money as Liz has. Together they have $179. What equation would you set up t
    11·1 answer
  • Please help, I’m confused
    6·1 answer
  • 20 points brainliest!!!!
    15·2 answers
  • The Chinese Buffet costs $9.95 a person. Johnny, his mother, and his father have dinner there, They receive a 25% discount. What
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!