For a random sample of twenty five students from a large class, the accompanying table shows the amount of time spent studying for a test. Study time (hours) 0-4 4-8 8-12 12-16 16-20 Number of students 3 7 8 5 2 a) Estimate the sample mean study time b) Estimate sample standard deviation c) In which class is the sample median
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.
For a random sample of twenty five students from a large class, the accompanying table shows the amount of time spent studying for a test.
Study time (hours) 0-4 4-8 8-12 12-16 16-20
Number of students 3 7 8 5 2
a) Estimate the sample mean study time
b) Estimate sample standard deviation
c) In which class is the sample median?
d) Which is the modal class?
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