The following data represent the difference in scores between the winning and losing teams in a sample of 30 college football bowl games from 2018-2019. Point Difference Number of Bowl Games 1 - 5 4 6 - 10 4 11 - 15 16 - 20 4 21 - 25 3 26 - 30 31 - 35 1 (a) Find the mean, median, mode and standard deviation. (b) Calculate the Coefficient of Variation and Pearson's 1st and 2nd Coefficient of Skewness. (c) Describe the shape of the above data with explanation.
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.
Do all parts from C
![1. The following data represent the difference in scores between the winning and losing teams in
a sample of 30 college football bowl games from 2018-2019.
Point Difference Number of Bowl Games
1- 5
4
6 - 10
4
11 - 15
16 - 20
4
21 - 25
3
26 - 30
5
31 - 35
1
(a) Find the mean, median, mode and standard deviation.
(b) Calculate the Coefficient of Variation and Pearson's 1st and 2nd Coefficient of Skewness.
(c) Describe the shape of the above data with explanation.
(d) From a random sample of 100 college football bowls games picked in 2018-2019, estimate
the number of college football games that have point difference between 8 and 17 using
the frequency distribution table provided.
(e) Using the frequency distribution table provided, estimate the maximum point difference
for which 60% of the bowl games in 2018-2019 fell under.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcc3ca97-e8b6-4f58-b368-f6d189314e46%2F5caaabf7-14b1-4b51-b2f2-bf3594b253c3%2Ffzeo94z_processed.png&w=3840&q=75)
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