Given these stats how many students scored a 65 or lower?
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.
Given these stats how many students scored a 65 or lower?
![Exam 1 Scores
45
40
35
30
25
20
15
10
68.3 Mean
72 Median
78.5 Mode
21.1 Standard Deviation
Mean: approx. a "C" grade
Mean + 1 standard deviation: approx. "A"/"B" line
Mean - 1 standard deviation: approx. "D"/"F" line
[6.5, 11.2]
(11.2, 15.9]
(15.9, 20.6]
(20.6, 25.3]
(25.3, 30]
(30, 34.7]
(34.7, 39.4]
(39.4, 44.1]
(44.1, 48.8]
(48.8, 53.5]
(53.5, 58.2]
(58.2, 62.9]
(62.9, 67.6]
(67.6, 72.3]
(72.3, 77]
(77, 81.7]
(81.7, 86.4]
(86.4, 91.1]
(91.1, 95.8]
(95.8, 100.5]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F334575eb-bc32-49e7-ba91-86a7226308e8%2F0bbfee46-7151-43c2-8e2c-d7cd218f1ea3%2Fneqea48_processed.png&w=3840&q=75)
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