The table shows the distribution of scores or 40 students on a Mathematics test. 10-12 13-15 6. Score 16-18 13 19-21 9 22-24 8 25-27 Frequency 4 (a) (b) Estimate the mean score obtained on the test. Estimate the probability that a student selected at random would score at most 15 marks on the test. (c) Using the scale of 1 cm to represent 1 unit on the frequency axis and 2 cm to represent 5 units on the score's axis, use graph paper to draw a frequency polygon to represent the distribution of scores shown in the table.
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.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
