Example 5: Calculate the 30th and the 68th percentiles for the first attempt scores.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Example 5
As per the request, solving only example 5
Given data for first attempt scores
The sample size is . The provided sample data are shown in the table below:
| First Attempt |
| 34 |
| 37 |
| 41 |
| 43 |
| 44 |
| 45 |
| 47 |
| 48 |
| 50 |
| 36 |
We need to compute the 38% percentile based on the data provided.
| Position | First Attempt (Asc. Order) |
| 1 | 34 |
| 2 | 36 |
| 3 | 37 |
| 4 | 41 |
| 5 | 43 |
| 6 | 44 |
| 7 | 45 |
| 8 | 47 |
| 9 | 48 |
| 10 | 50 |
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