Answered: A new version of the Medical College…

Name: A new version of the Medical College Admissions Test (MCAT) was introd
Uploaded: 2024-03-20T07:06:16.000Z
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Description: A new version of the Medical College Admissions Test (MCAT) was introduced in spring 2015 and is intended to shift the focus from what applicants know to how well they can use what they know. One result of the change is that the scale on which the ex

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A new version of the Medical College Admissions Test (MCAT) was introduced in spring 2015 and is intended to shift the focus from what applicants know to how well they can use what they know. One result of the change is that the scale on which the exam is graded was modified, with the total score of the four sections on the test ranging from 472472 to 528.528. In spring 2015, the mean score was 500.0500.0 with a standard deviation of 10.6.10.6.

(a) Assuming that the MCAT scores are normally distributed, use Table A to find the median and the first and third quartiles of the MCAT scores.

Find the median of the MCAT scores. (Enter your answer rounded to a whole number.)

median=median=

Find the first quartile of the MCAT scores. (Enter your answer rounded to three decimal places.)

?1=Q1=

Find the third quartile of the MCAT scores. (Enter your answer rounded to three decimal places.)

?3=Q3=

Find the interquartile range of the MCAT scores. (Enter your answer rounded to three decimal places.)

???=IQR=

(b) Which interval contains the central 80%80% of the MCAT scores? Select the answer choice that approximates this interval.

472472 to 528528

480480 to 520520

486.432486.432 to 513.568513.568

491.096 to 508.904

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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