Ten samples of a math quiz (scores between 0 and 100) were collected from two classes. The scores from the 10 samples in each class are shown in the accompanying table. (Assume that each score 0 - 100 is equally likely.) Sample 1 2 3 4 5 6 7 8 9 10 Class A 61 72 74 61 63 59 64 93 57 42 Class B 72 29 49 55 59 52 61 68 50 71 a. Construct a double box and whiskers plot (one for each of the classes) on the same scale which is provided below (use the same scale on this sheet of paper). Include the 5 Number Summary and calculations to find outliers. Show the calculations. Can you say most of the students in one of the classes did better
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.
Ten samples of a math quiz (scores between 0 and 100) were collected from two classes. The scores from the 10 samples in each class are shown in the accompanying table. (Assume that each score 0 - 100 is equally likely.) Sample 1 2 3 4 5 6 7 8 9 10 Class A 61 72 74 61 63 59 64 93 57 42 Class B 72 29 49 55 59 52 61 68 50 71 a. Construct a double box and whiskers plot (one for each of the classes) on the same scale which is provided below (use the same scale on this sheet of paper). Include the 5 Number Summary and calculations to find outliers. Show the calculations. Can you say most of the students in one of the classes did better
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 10 images