Test scores correction After entering the test scoresfrom her Statistics class of 25 students, the instructorcalculated some statistics of the scores. Upon checking,she discovered that she had entered the top score as 46,but it should have been 56.a) When she corrects this score, how will the mean andmedian be affected?b) What effect will correcting the error have on the IQRand the standard deviation?
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.
Test scores correction After entering the test scores
from her Statistics class of 25 students, the instructor
calculated some statistics of the scores. Upon checking,
she discovered that she had entered the top score as 46,
but it should have been 56.
a) When she corrects this score, how will the mean and
median be affected?
b) What effect will correcting the error have on the IQR
and the standard deviation?
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