You will use the following table in several of the problems below: Grade # of Students Value Si*Fi Pi Pi*Xi Xi-u Pi*(Xi-u)^2 Other A 20 4 B 60 3 C 150 2 D 130 1 F 40 0 Total Using the table above, what is the mode grade value? Using the table above, what is the median grade value? Using the table above, what is the mean grade value?
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.
You will use the following table in several of the problems below:
|
Grade |
# of Students |
Value |
Si*Fi |
Pi |
Pi*Xi |
Xi-u |
Pi*(Xi-u)^2 |
Other |
|
A |
20 |
4 |
||||||
|
B |
60 |
3 |
||||||
|
C |
150 |
2 |
||||||
|
D |
130 |
1 |
||||||
|
F |
40 |
0 |
||||||
|
Total |
Using the table above, what is the
Using the table above, what is the
Using the table above, what is the
Using the table above, what is the probability that a randomly selected student received a B?
Using the table above, what is the standard deviation of the grade value?
Since there are multiple sub-part in the question, we will solve first three sub-part for you. If you want specific sub-part to be solved then please again post the question and specify the sub-part to be solved.
Mode is the value which is repeated most of the times. Number of student represents the frequency of each grade. The number of student or frequency for grade value 2 is 150 which is largest, thus the mode grade value will be 2.
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