The heights of children in a second grade section are normally distributed with mean 52 inches and standard deviation 10 inches. What percentage of students will have height between 55 inches and 60 inches? a. 0.5% b. 5% c. 12% d. 17% 2.If you take a random sample of 64 students in question 1, what would be the mean and standard deviation of the average height of these 64 students? a. 52 inches and 10 inches b. 6.5 inches and 1.25 inches c. 6.5 inches and 10 inches d. 52 inches and 1.25 inches In question 2, what is the probability that the average height is above 50 inches? a. 0.0548 b. 0.9452 c. 0.5793 d. 0.4207
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.
The heights of children in a second grade section are normally distributed with mean 52 inches and standard deviation 10 inches. What percentage of students will have height between 55 inches and 60 inches?
a. 0.5%
b. 5%
c. 12%
d. 17%
2.If you take a random sample of 64 students in question 1, what would be the mean and standard deviation of the average height of these 64 students?
a. 52 inches and 10 inches
b. 6.5 inches and 1.25 inches
c. 6.5 inches and 10 inches
d. 52 inches and 1.25 inches
In question 2, what is the probability that the average height is above 50 inches?
a. 0.0548
b. 0.9452
c. 0.5793
d. 0.4207
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