2. Test scores of 30 students are given below. Use this data for parts a – e of this question. 55 70 80 85 90 100 55 75 80 85 90 100 60 75 85 85 90 100 60 80 85 90 95 100 65 80 85 90 95 100 a) Construct a frequency distribution of the data collected. Use classes with the first class ranging from 51-60. b) Which one is(are) the modal class(es)? Circle the correct answer(s). a) 51 – 60 b) 61 – 70 c) 71 – 80 d) 81 – 90 e) 91 – 100 c) Create a histogram for the test scores using the same classes. d) Create a frequency polygon for the test scores using the same classes. e) Create a Stem-and-Leaf Display for the test scores of the 30 students
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.
2. Test scores of 30 students are given below. Use this data for parts a – e of this question.
55 70 80 85 90 100 55 75 80 85 90 100 60 75 85 85 90 100 60 80 85 90 95 100 65 80 85 90 95 100
a) Construct a frequency distribution of the data collected. Use classes with the first class
b) Which one is(are) the modal class(es)? Circle the correct answer(s).
a) 51 – 60 b) 61 – 70 c) 71 – 80 d) 81 – 90 e) 91 – 100
c) Create a histogram for the test scores using the same classes.
d) Create a frequency
e) Create a Stem-and-Leaf Display for the test scores of the 30 students
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