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
Aleks04 [339]
3 years ago
13

Reports on a student’s ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is just the cum

ulative proportion stated as a percent: the percent of all scores that were lower than this one. In 2012, the total MCAT scores were close to Normal with mean 25.3 and standard deviation 6.5. William scored 31.A) What was his percentile? (Use table A; z table) He scored better than about (± ± 0.01%) % of all MCAT takers.
Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:

The percentile is calculated with the following probability:

P(X

And using the z score we got:

P(X

So then we can conclude that 31 represent approximately the percentile 81 on the distribution given

He scored better than about 80.98 % of all MCAT takers.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(25.3,6.5)  

Where \mu=25.3 and \sigma=6.5

And for this case we have a score of 31

The percentile is calculated with the following probability:

P(X

And using the z score we got:

P(X

So then we can conclude that 31 represent approximately the percentile 81 on the distribution given

He scored better than about 80.98 % of all MCAT takers.

You might be interested in
What is the area of the object above​
vivado [14]

Answer:

62 sq cm

Step-by-step explanation:

if you find the area of the entire shape (12x6) you can then subtract out the cut-out portion (5x2)

72 - 10 = 62

5 0
3 years ago
a merchant gains 15% by selling an article for $ 150. by how much does he sell it to double his profit ?​
viva [34]

Answer:

30/100×150=

24/5%, that is the answer

8 0
3 years ago
Read 2 more answers
What number am i supposed to put in the blank?
lubasha [3.4K]

Answer:

-20.

Step-by-step explanation:

Hope this helps!

7 0
3 years ago
Read 2 more answers
A concrete stepping stone measures 20 inches square. What is the area of 30 such tiles?
ratelena [41]
A single stepping stone as you have said is 20 inches sqaure. This means that it has an area of 20.

All you would need to do then is multiply 20 by 30 to get the area of thirty tiles. The result of this would be 600.

If you mean one side of the stepping stone is 20 inches then you would multiply 20 by 20 to get the area of one, since that would be multiplying length times width (the area formula). The area of one would result in 400 and you would then multiply this by the thirty tiles (400 times 30) to get 12000.
7 0
3 years ago
Read 2 more answers
The median of a group of individuals’ BMIs whose BMIs are 20.47, 21.92, 23.32, 23.41, 25.7, and 30.1 is approximately ___.
fomenos
The median is the middle number in a set of ordered numbers. Ordered from least to greatest, the middle numbers are 23.32 and 23.41. Because there are two, we add 23.32 and 23.41 and divide it by two. 23. 32 + 23.41 = 46.73 / 2 = 23.365. So approximately 23.37. Hope this helps!
8 0
3 years ago
Other questions:
  • brines kitchen has an area of 81 square feet. The kitchen is 9 times as many square feet as brinns pantry. If the pantry is 3 fe
    7·1 answer
  • Find the value of x for which 2x ^(1/ 2) = 32.
    10·1 answer
  • The Monthly Bank pays 3 percent interest, compounded monthly, on their savings accounts. The Daily Bank pays 3 percent interest,
    13·2 answers
  • 12 times 12 help please so work
    5·2 answers
  • What is located closest to the orgin
    6·2 answers
  • Adam has $21 to spend on three pencils. After buying them he had $9. How much did each pencil cost?
    5·2 answers
  • The number of positive resl rootd for the expression for -3x³+8x²-7x+10=0 is less than or equal to​
    9·1 answer
  • I need help!!!!!!!!!!!!!!!!!
    8·1 answer
  • 3.
    8·1 answer
  • Stan pays a 10% deposit to put a pool table on lay-by.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!