A teacher gives a test and the distribution of scores turnsout to be bimodal. One-third of the class earned scoresbetween 60% and 75%, while the rest of the class scoredbetween 88% and 98%. Which of the following are themost plausible estimates of the mean and the median?A) The median is about 80 and the mean is about 85.B) The median and the mean are both about 85.C) The median is about 85 and the mean is about 90.D) The median is about 90 and the mean is about 85.E) The median and the mean are both about 90.
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.
A teacher gives a test and the distribution of scores turns
out to be bimodal. One-third of the class earned scores
between 60% and 75%, while the rest of the class scored
between 88% and 98%. Which of the following are the
most plausible estimates of the mean and the median?
A) The median is about 80 and the mean is about 85.
B) The median and the mean are both about 85.
C) The median is about 85 and the mean is about 90.
D) The median is about 90 and the mean is about 85.
E) The median and the mean are both about 90.
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