6. The results of an IQ test of a group of students in a certain college were taken and are presented in a frequency distribution. Classes f 70-75 2 76-81 8 82-87 19 88-93 21 94-99 28 100-105 38 106-111 15 112-117 9 Required: Using the frequency distribution above, determine the following: a) size of the class interval; b) median class; c) lower boundary of the median class; d) midpoint of the median class; e) upper limit of the median class; f) modal class; g) lower limit of the modal class; h) number of students with an IQ greater than 99.5; i) midpoint of the modal class. Compute the value of the mean, median, and mode.
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.
6. The results of an IQ test of a group of students in a certain college were taken and are presented in a frequency distribution.
Classes f
70-75 2
76-81 8
82-87 19
88-93 21
94-99 28
100-105 38
106-111 15
112-117 9
Required:
- Using the frequency distribution above, determine the following: a) size of the class interval; b)
median class; c) lower boundary of the median class; d) midpoint of the median class; e) upper limit of the median class; f) modal class; g) lower limit of the modal class; h) number of students with an IQ greater than 99.5; i) midpoint of the modal class. - Compute the value of the mean, median, and
mode .
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