A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1470 and the standard deviation was 313. The test scores of four students selected at random are 1910, 1220, 2190, and 1350. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is. (Round to two decimal places as needed.) The z-score for 1220 is (Round to two decimal places as needed.) The z-score for 2190 is. (Round to two decimal places as needed.) The z-score for 1350 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The unusual value(s) is/are (Use a comma to separate answers as needed.) O B. None of the values are unusual Click to select your answer(s)
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.
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