14. A group of 78 third-grade students in a Midwestern elementary school took a "self-concept" test that measured how well they felt about themselves. Higher scores indicate more positive self-concepts. A histogram and some summary statistics from Minitab for these students' self-concept scores are given below 15 10 20 25 30 35 40 45 50 55 60 65 70 75 80 85 Sef-concept Descriptive Statistics: SelfConc StDev 12,35 Median Q3 65.00 Maximum Q1 50.00 Minimum Variable N SelfConc 78 Mean 56.85 20.00 59.00 84.00 (a) One student in the group had a self-concept score of 62. Calculate and interpret this student's z-score. Kuanbay
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.
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