Distribution of Exam Scores

How many students received at most a score of 69 on the exam?

When analyzing exam scores, it's important to understand how data is distributed and what inferences can be drawn from the distribution. This problem asks us to determine how many students scored 69 or lower on an exam. The key concept here is to understand cumulative frequency distributions, which allow us to sum up frequencies of scores up to a certain value, providing insights into how data is aggregated below specific thresholds.

In context, this problem falls under the larger umbrella of descriptive statistics, which is primarily concerned with summarizing and understanding data. Descriptive statistics involve measures that illustrate the typical values for a dataset and the spread or variation within that dataset. Problems like this one help us understand how we can use these numbers to make sense of real-world scenarios, such as exam scores.

Moreover, this problem requires us to consider strategies for sorting and counting data. An effective problem-solving approach would include organizing the data, possibly in a tabular form or graphically, to facilitate better analysis. Using these methods helps in efficiently identifying the required subset of data and drawing meaningful conclusions from the results.