Construct a frequency distribution table for the following scores. Include columns for proportion and percentage in the table.
Scores: 5, 7, 8, 4, 7, 9, 6, 6, 5, 3
9, 6, 4, 7, 7, 8, 6, 7, 8, 5
no you already lost me
.) Construct a frequency distribution table for the following set of scores. Include columns for proportion and percentage in your table.
Scores: 5, 7, 8, 4, 7, 9, 6, 6, 5, 3
9, 6, 4, 7, 7, 8, 6, 7, 8, 5
To construct a frequency distribution table for the given scores, follow these steps:
1. Sort the scores in ascending order: 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9.
2. Create a table with columns for Scores, Frequency, Proportion, and Percentage.
3. In the Scores column, list all the unique scores from the sorted list: 3, 4, 5, 6, 7, 8, 9.
4. In the Frequency column, count how many times each score appears in the original list. Record these values in the Frequency column. For example, the frequency of 3 is 1, the frequency of 4 is 2, and so on. The completed Frequency column will be as follows:
- Scores: 3, 4, 5, 6, 7, 8, 9
- Frequency: 1, 2, 3, 4, 4, 3, 1
5. In the Proportion column, calculate the proportion of each score by dividing the frequency of that score by the total number of scores. The total number of scores is equal to the sum of all the frequencies. For example, the proportion of 3 is 1/19, the proportion of 4 is 2/19, and so on. The completed Proportion column will be as follows:
- Scores: 3, 4, 5, 6, 7, 8, 9
- Frequency: 1, 2, 3, 4, 4, 3, 1
- Proportion: 1/19, 2/19, 3/19, 4/19, 4/19, 3/19, 1/19
6. In the Percentage column, calculate the percentage of each score by multiplying the proportion by 100. This will give you the percentage of each score out of the total. For example, the percentage of 3 is (1/19) * 100 = 5.26%, the percentage of 4 is (2/19) * 100 = 10.53%, and so on. The completed Percentage column will be as follows:
- Scores: 3, 4, 5, 6, 7, 8, 9
- Frequency: 1, 2, 3, 4, 4, 3, 1
- Proportion: 1/19, 2/19, 3/19, 4/19, 4/19, 3/19, 1/19
- Percentage: 5.26%, 10.53%, 15.79%, 21.05%, 21.05%, 15.79%, 5.26%
That's it! You have successfully constructed a frequency distribution table for the given scores, including columns for proportion and percentage.
Arrange the scores in order of value first. Combine like scores. The table needs columns for value, frequency, proportion and percentile.
3, the lowest score, is the only one (frequency), 1/20th (proportion) and the 5th percentile.
Can you take it from here?