Reading Progress 1 3 4 Grade 6, 2. AO 5 ¢ M 2 -O Avg. Reading Level
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.
Reading To measure progress in reading ability, students
at an elementary school take a reading comprehension test
every year. Scores are measured in “grade-level” units;
that is, a score of 4.2 means that a student is reading at
slightly above the expected level for a fourth grader. The
school principal prepares a report to parents that includes
a graph showing the mean reading score for each grade. In
his comments he points out that the strong positive trend
demonstrates the success of the school’s reading program.
satisfactory progress in reading? Explain.
b) What would you estimate the
Grade and Average Reading Level to be?
c) If, instead of this plot showing average reading levels,
the principal had produced a
levels of all the individual students, would you expect
the correlation to be the same, higher, or lower? Explain.
sis, someone as statistically astute as you might do
that line would you view as demonstrating acceptable
progress in reading comprehension? Explain.
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