Example 6
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 6
The scores of the second attempt is given as-
| Second attempt | 34 | 31 | 37 | 32 | 40 | 32 | 44 | 37 | 47 | 41 |
Arranging the scores in ascending order-
| Second attempt | 31 | 32 | 32 | 34 | 37 | 37 | 40 | 41 | 44 | 47 |
For 20th percentile,
Therefore the required 20th percentile for the second attempt score is obtained by taking an average of 2nd term and 3rd term.
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