1) For the data: 68 92 134 151 78 94 112 find: (2 each) sample mean = sample standard deviation = range median sample size = %3D %3D
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.
![1) For the data:
68 92
134
151
78 94 112
find:
(2 each)
sample mean =
sample standard deviation =
range =
median =
sample size =
2) Exam scores for 30 students:
41 61 64 68 70 74 77 79 81 83 83 85 87 87 89 91 92 92 92 92 93 93 93 94 94 94 95 97 98 99
a) In the space below, create a grouped frequency distribution table, using 40-49 as
the first class. (3)
b) Determine the five-number summary.
(3)
c) In space below, draw a histogram. (3)
d) In space below, draw the boxplot. (3)
032 2292
e) Identify the shape.
(2)
f) Find the interquartile range.
(2)
10222913
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