The following table represents the scores on the Mini-Mental State Examination (MMSE) for patients enrolled in a study at an Alzheimer’s disease institute. (5 pts.) Patient MMSE Score A 22 B 17 C 19 D 22 E 19 F 17 G 21 H 20 A) Calculate the mean, five-point summary, and IQR for the performances on the MMSE presented above. Mean: ____________________ (Example answer, ##.#) Five-point summary: _____________________ (Example answer, ##,##,##.#,##.#,##) IQR: _______________________________ (Example answer, #.#) B) Calculate the variance and standard deviation for the data. Variance: ____________________ (Example answer, #.#) Standard Deviation: _______________________ (Example answer, #.#)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The following table represents the scores on the Mini-Mental State Examination (MMSE) for patients enrolled in a study at an Alzheimer’s disease institute. (5 pts.)
|
Patient |
MMSE Score |
|
A |
22 |
|
B |
17 |
|
C |
19 |
|
D |
22 |
|
E |
19 |
|
F |
17 |
|
G |
21 |
|
H |
20 |
A) Calculate the mean, five-point summary, and IQR for the performances on the MMSE presented above.
Mean: ____________________ (Example answer, ##.#)
Five-point summary: _____________________ (Example answer, ##,##,##.#,##.#,##)
IQR: _______________________________ (Example answer, #.#)
B) Calculate the variance and standard deviation for the data.
Variance: ____________________ (Example answer, #.#)
Standard Deviation: _______________________ (Example answer, #.#)
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