Asked by Christina
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.
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.
Answers
Answered by
MathGuru
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.
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.
Answered by
Christina
so would part a be
.4207=(x-550)/100 ?
.4207=(x-550)/100 ?
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.