In Exercises 1 and 2, use the following wait times (minutes) at 10:00 AM for the Tower of Terror ride at Disney World (from Data Set 33 “Disney World Wait Times” in Appendix B).

35 35 20 50 95 75 45 50 30 35 30 30

b. Find the median.

검증된 단계별 안내

Step 1: Organize the data in ascending order. The given wait times are: 35, 35, 20, 50, 95, 75, 45, 50, 30, 35, 30, 30. Arrange these values in increasing order: 20, 30, 30, 30, 35, 35, 35, 45, 50, 50, 75, 95.

Step 2: Determine the total number of data points. Count the number of values in the dataset. In this case, there are 12 data points.

Step 3: Identify whether the number of data points is odd or even. Since there are 12 data points (an even number), the median will be the average of the two middle values.

Step 4: Locate the two middle values. For an even dataset, the two middle values are at positions n/2 and (n/2) + 1, where n is the total number of data points. Here, n = 12, so the middle values are at positions 12/2 = 6 and (12/2) + 1 = 7. The 6th and 7th values in the ordered dataset are 35 and 35.

Step 5: Calculate the median. The median is the average of the two middle values. Use the formula: Median = (Value at position 6 + Value at position 7) / 2. Substitute the values from Step 4 to find the median.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Median

The median is a measure of central tendency that represents the middle value in a data set when the numbers are arranged in ascending order. If there is an odd number of observations, the median is the middle number; if even, it is the average of the two middle numbers. It is particularly useful for understanding the distribution of data, especially when there are outliers that could skew the mean.

Data Set Organization

Organizing a data set involves sorting the values in either ascending or descending order, which is essential for accurately calculating statistical measures like the median. This process helps to visualize the data and identify patterns or trends, making it easier to analyze the information effectively.

Descriptive Statistics

Descriptive statistics summarize and describe the main features of a data set, providing simple summaries about the sample and the measures. This includes measures of central tendency (like mean, median, and mode) and measures of variability (like range and standard deviation). Understanding these statistics is crucial for interpreting data and making informed decisions based on the analysis.

In Exercises 1 and 2, use the following wait times (minutes) at 10:00 AM for the Tower of Terror ride at Disney World (from Data Set 33 “Disney World Wait Times” in Appendix B).35 35 20 50 95 75 45 50 30 35 30 30 b. Find the median.