In Exercises 5–8, identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are based on real data from Appendix B.

검증된 단계별 안내

Step 1: Identify the class width. The class width is calculated by subtracting the lower boundary of one class from the lower boundary of the next class. For example, subtract 20 (lower boundary of the first class) from 30 (lower boundary of the second class).

Step 2: Calculate the class midpoints. The class midpoint is the average of the lower and upper boundaries of each class. For example, for the first class (20–29), calculate (20 + 29) / 2.

Step 3: Determine the class boundaries. The class boundaries are the values that separate one class from another without gaps. For example, for the first class (20–29), the lower boundary is 19.5 and the upper boundary is 29.5.

Step 4: Sum the frequencies to find the total number of individuals included in the summary. Add all the frequencies together: 31 + 34 + 15 + 3 + 6 + 1 + 1.

Step 5: Verify the calculations and ensure all values (class width, midpoints, boundaries, and total frequency) are consistent with the data provided in the frequency distribution table.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

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

Class Width

Class width refers to the range of values that each class interval covers in a frequency distribution. It is calculated by subtracting the lower boundary of a class from its upper boundary. For example, in the age distribution provided, the class width for the age range 20-29 is 10 years (29 - 20 = 9, plus one for inclusive counting).

Class Midpoint

The class midpoint is the value that lies in the middle of a class interval and is calculated by averaging the upper and lower boundaries of that class. For instance, the midpoint for the age range 20-29 is (20 + 29) / 2 = 24.5. This value is often used in statistical calculations, such as finding the mean of grouped data.

Class Boundaries

Class boundaries are the values that separate one class from another in a frequency distribution. They are determined by taking the upper limit of one class and the lower limit of the next class, ensuring there are no gaps between classes. For example, the class boundaries for the age range 20-29 would be 19.5 (lower) and 29.5 (upper), allowing for a continuous range of data.