AP Statistics scores 2010 In 2010, almost 130,000Statistics students nationwide took the AdvancedPlacement Examination in Statistics. The nationaldistribution of scores and the results at Ithaca HighSchool are shown in the table. a) Is the distribution of scores at this high school signifi-cantly different from the national results? b) Was there a significant different between the perfor-mances of boys and girls at this school? Ithaca High School ScoreNationalDistribution Number of Boys Number of Girls5 12.8% 13 134 22.4% 21 153 23.5% 6 132 18.2% 7 31 23.1% 4 2
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.
AP Statistics scores 2010 In 2010, almost 130,000
Statistics students nationwide took the Advanced
Placement Examination in Statistics. The national
distribution of scores and the results at Ithaca High
School are shown in the table.
cantly different from the national results?
mances of boys and girls at this school?
National
Distribution Number of Boys Number of Girls
5 12.8% 13 13
4 22.4% 21 15
3 23.5% 6 13
2 18.2% 7 3
1 23.1% 4 2
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