The following data correspond to the grades obtained by the students of a course: 4,0 - 5,0 - 4,0 - 5,0 - 4,0 - 7,0 - 7,0 - 6,0 - 5,0 - 6,0 - 2,0 - 2,0 - 4,0 - 7,0 - 6,0 - 7,0 - 3,0 - 7,0 - 4,0 - 4,0 - 4,0 - 7,0 - 7,0 - 3,0 - 5,0 - 7,0 - 4,0 - 5,0 - 6,0 - 5,0 - 3,0 - 7,0 - 6,0 The following is required: (a) Organize the data in a frequency table including intervals, absolute and cumulative frequencies, and percentages of both frequencies. (b) How many students are there in the course? (c) What percentage of the students obtained a 6.0? (d) How many students scored 4.0 or less? (e) What percentage of the students scored a 5.0 or higher?
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 data correspond to the grades obtained by the students of a course:
4,0 - 5,0 - 4,0 - 5,0 - 4,0 - 7,0 - 7,0 - 6,0 - 5,0 - 6,0 - 2,0 - 2,0 - 4,0 - 7,0 - 6,0 - 7,0 - 3,0 - 7,0 - 4,0 - 4,0 - 4,0 - 7,0 - 7,0 - 3,0 - 5,0 - 7,0 - 4,0 - 5,0 - 6,0 - 5,0 - 3,0 - 7,0 - 6,0
The following is required:
(a) Organize the data in a frequency table including intervals, absolute and cumulative frequencies, and percentages of both frequencies.
(b) How many students are there in the course?
(c) What percentage of the students obtained a 6.0?
(d) How many students scored 4.0 or less?
(e) What percentage of the students scored a 5.0 or higher?
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