Additional Activities Okay! This is our last wrap up. You will be able to help Harvey all throughout this Module 5 in Statistics and Probability. The following are just supplemental problems to enrich your knowledge and skills of the lesson learned. Good luck and God bless! Direction: Solve the given real - life problem below. Show the complete solution for the following tasks. Problem: As a Physical Education teacher of Hermosa National High School Senior High School, Ma'am Mary Ann wants to compute for the Body Mass Index of few students as part of her research. As a start, the table below shows the heights of five students in meters. Supposed samples of size 2 are taken from this population of five students, complete the given table and answer the following tasks. Construct the desired tables needed for your solutions and answers. Student Height (X) X2 Hazel Kim 1.47 2.16 Mee Ann Mae 1.58 2.50 Grace Ann 1.67 2.79 Jethro 1.69 2.86 Chelsea Mae 1.51 2.28 TOTAL 7.92 12.59 1. Solve for the mean of the population u. 2. Solve for the mean of the sampling distribution of the sample means lg. 3. Compare u and Hg. 4. Solve for the variance (o2) and the standard deviation (ơ) of the population. 5. Solve the variance (o?) and the standard deviation (o3) of the sampling distribution of the sample means µg. 6. Compare o and og.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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