1.A researcher randomly purchases several different kits of a popular building toy. The following table shows the number of pieces in each kit in the sample. Find the standard deviation of the data. Round your answer to the nearest hundredth, if necessary. Building Toy Pieces 172 57 277 362 362 57 116 308 277 121 182 516
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.A researcher randomly purchases several different kits of a popular building toy. The following table shows the number of pieces in each kit in the sample. Find the standard deviation of the data. Round your answer to the nearest hundredth, if necessary.
Building Toy Pieces
172 57
277 362
362 57
116 308
277 121
182 516
2.What percentage of the area under the normal curve is to the left of the following ?-score? Round your answer to two decimal places.
? = 0.38
3.What percentage of the area under the normal curve is to the right of the following ?-score? Round your answer to two decimal places.
? = −2.96
4. What percentage of the area under the normal curve is between the following ?-scores? Round your answer to two decimal places.
?1 = −2.39
?2 = 1.03
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