Post a New Question

stats.

posted by .

The GMAT test is required for admission to most graduate programs in business. In a recent year, the GMAT test scores were normally distributed with a mean of 550 and standard deviation of 100.

A. Find the first quartile for the distribution of GMAT scores.
B. Find the median for the distribution of GMAT scores.
C. Find the ninety-fifth percentile for the distribution of GMAT scores.

  • stats. -

    A few hints:

    A. First quartile is the 25th percentile.
    B. Second quartile (median) is the 50th percentile.
    C. 95th percentile is most of the distribution.

    Find the z-scores using a z-table for each of these percentiles.

    Use z-score formula to find the scores at each percentile.

    Formula:
    z = (x - mean)/sd
    mean = 550
    sd = 100

    Solve for x in each case.

    Note: In a normal distribution, the mean, median, and mode are the same.

  • stats. -

    so would part a be

    .4207=(x-550)/100 ?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Suppose scores on an IQ test are normally distributed. If the test has a mean of 100 and a standard deviation of 10, what is the probability that a person who takes the test will score between 90 and 110?
  2. Math

    Suppose scores on an IQ test are normally distributed. If the test has a mean of 100 and a standard deviation of 10, what is the probability that a person who takes the test will score between 90 and 110?
  3. Word Problem

    A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 25 and a standard deviation of 4.6. Scores on the second test are normally distributed …
  4. stats

    Assume that aset of test scores is normally distributed with a mean of 100 and a standard deviation of 20 use the 68-95-99?
  5. stats

    Using the 68-95-99.7 rule: Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68-95-99.7 rule to find the following quantities: Suggest you make a drawing and label first… …
  6. maths

    Suppose scores on an IQ test are normally distributed.If the test has mean of 100 and standard deviation of 10,what is the probability that a person who takes the test will score between 90 and 110?
  7. statistics!

    1) Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that he …
  8. stats

    Test scores on a university admissions test are normally distributed, with a mean of 500 and a standard deviation of 100. 4 marks a. What is the probability that a randomly selected applicant scores between 425 and 575?
  9. statistics

    Suppose that the average score on the GMAT exam is 500 and that the standard deviation of all scores is 100 points. You would expect approximately 95% of all GMAT scores to be between
  10. Stats

    A random sample of 100 GMAT scores has a mean of 500. Assume that GMAT scores have a population standard deviation of 120. Construct a 95% confidence interval estimate of the mean GMAT scores. (15 pts) What is the sample size for the …

More Similar Questions

Post a New Question