High School

These are Ravi's mean bowling scores for the past 24 weeks:

110.7, 120.4, 115.2, 106.2, 107.1, 122.6, 130.0, 129.5, 119.2, 113.4, 100.2, 95.4, 103.0, 129.9, 105.7, 125.0, 122.6, 111.5, 112.4, 114.7, 101.8, 129.0, 103.1, 140.9

Organize the scores in a frequency table. Explain your choice of intervals.

Answer :

Ravi's mean bowling scores are organized into 10-point intervals: 90.0-99.9 (1), 100.0-109.9 (5), 110.0-119.9 (7), 120.0-129.9 (6), 130.0-139.9 (4), and 140.0-149.9 (1), providing a balanced overview of his performance.

To create a frequency table for Ravi's mean bowling scores, we need to organize the data into intervals and count the frequency of scores within each interval. The choice of intervals is crucial for maintaining a balance between granularity and readability. Here, I've chosen intervals of 10 points each to provide a reasonable overview of Ravi's scores.

The first step is to identify the range of scores. The minimum score is 95.4, and the maximum is 140.9, so a 50-point range is sufficient for the intervals. I chose intervals such that each encompasses a range of 10 points to maintain a balance between detailed information and simplicity.

The intervals are as follows:

1. 90.0-99.9: This includes the minimum score (95.4). There is one score in this range.

2. 100.0-109.9: This interval accommodates scores between 100.0 and 109.9. There are five scores in this range.

3. 110.0-119.9: This broader interval covers scores from 110.0 to 119.9, including seven scores.

4. 120.0-129.9: Scores ranging from 120.0 to 129.9 are in this interval, with six scores.

5. 130.0-139.9: This interval captures scores between 130.0 and 139.9, including four scores.

6. 140.0-149.9: The final interval includes the maximum score (140.9). There is one score in this range.

These intervals offer a balanced distribution of scores, providing insights into Ravi's performance without overwhelming detail. The frequency table summarizes the data effectively, making it easier to identify trends and patterns in Ravi's mean bowling scores over the past 24 weeks. This organization allows for a quick assessment of the distribution of scores while maintaining clarity in presentation.

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