A college professor calculates the standard deviation of all the grades from the midterm exams she most recently administered. Which of the following is the best description of the standard deviation? (A) The difference between the highest score on the midterm and the lowest score on the midterm. (B) The difference between the score representing the 75th percentile of all midterm exams and the score representing the 25th percentile of all midterm exams. (C) Approximately the mean distance between each individual grade of the midterm exams. (D) Approximately the mean distance between the individual grades of the midterm exams and the mean grade of all midterm exams. (E) Approximately the median distance between the individual grades of the midterm exams and the median grade of all midterm exams.
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.
3. A college professor calculates the standard deviation of all the grades from the midterm exams she most recently administered. Which of the following is the best description of the standard deviation?
- (A) The difference between the highest score on the midterm and the lowest score on the midterm.
- (B) The difference between the score representing the 75th percentile of all midterm exams and the score representing the 25th percentile of all midterm exams.
- (C) Approximately the
mean distance between each individual grade of the midterm exams. - (D) Approximately the mean distance between the individual grades of the midterm exams and the mean grade of all midterm exams.
- (E) Approximately the median distance between the individual grades of the midterm exams and the median grade of all midterm exams.
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