4) A psychiatrist has developed a measurement instrument for the mentalstate of patients. The test is on a scale of 0-100 (with higher scoresmeaning the patient is suffering from a higher level of mental duress).She randomly selects a group of individuals to take part in a studyusing this measurement instrument, and she develops a stem-and-leafplot of her data as follows:0 61117823 0017899425 67788999671144444998 8899 01Based on the stem-and-leaf plot, answer the following questions:a. What is the mean, median and mode?b. Mean: 55.08571, median:58, mode:74c. What is the range, variance and standard deviation? Range: 85,variance 635.4336, standard deviation: 25.20781d. What is the 25th percentile? What is the interpretation of thisvalue?e. What is the 75th percentile? What is the interpretation of thisvalue?f. What is the interquartile range (IQR)?g. What is the z-score for a patient that scores 88? What is theinterpretation of this z score?

Answered: 4) A psychiatrist has developed a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Question

4) A psychiatrist has developed a measurement instrument for the mental
state of patients. The test is on a scale of 0-100 (with higher scores
meaning the patient is suffering from a higher level of mental duress).
She randomly selects a group of individuals to take part in a study
using this measurement instrument, and she develops a stem-and-leaf
plot of her data as follows:
0 6
11178
2
3 0017899
42
5 67788999
6
7114444499
8 889
9 01
Based on the stem-and-leaf plot, answer the following questions:
a. What is the mean, median and mode?
b. Mean: 55.08571, median:58, mode:74
c. What is the range, variance and standard deviation? Range: 85,
variance 635.4336, standard deviation: 25.20781
d. What is the 25th percentile? What is the interpretation of this
value?
e. What is the 75th percentile? What is the interpretation of this
value?
f. What is the interquartile range (IQR)?
g. What is the z-score for a patient that scores 88? What is the
interpretation of this z score?

Expert Solution

Step 1: Given information

A psychiatrist has developed a measurement instrument for assessing the medical state of patients.

The test is on a scale of $0 minus 100$ , where higher scores indicate a higher level of mental duress.

To study the effectiveness of the measurement instrument, the psychiatrist randomly selects a group of individuals to participate in a research study.

The data collected from the study is then represented in the form of a stem-and-leaf plot, providing a visual summary of the distribution of scores among the participants.

The measurement are as,