Statistical Calculations for Frequency Distributions

Statistical Calculations

• The document presents statistical calculations for four different frequency distributions, likely from a statistics course.

Table 1: Frequency Distribution for Problem 6

• The data is divided into classes with specific intervals, ranging from 60-70 to 120-130.
• The frequency indicates the number of observations falling within each class interval.
• The mean (x̄) for this distribution is 5.36.
• The standard deviation (S) is 2.79.
• The coefficient of variation (C.V.) represents the ratio of the standard deviation to the mean, expressed as a percentage, and is 52.05%.

Table 2: Frequency Distribution for Problem 7

• The data is divided into broader class intervals, ranging from 1-5 to 70-100.
• The mean (x̄) for this distribution is 104.29.
• The standard deviation (S) is 14.73.
• The coefficient of variation (C.V.) is 14.12%.

Table 3: Incomplete Frequency Distribution for Problem 8

• The data is divided into classes with varying intervals, ranging from 8-10 to 40-50.
• The mean (x̄) for this distribution is 19.95.
• The standard deviation (S) is 16.79.

Table 4: Frequency Distribution for Problem 8

• The data is identical to Table 3, showing the frequency distribution for Problem 8.
• The mean (x̄) for this distribution is 14.39.
• The standard deviation (S) is 9.66.
• The coefficient of variation (C.V.) is 67.13%.

Observations

• The document presents a set of statistical calculations that likely form part of a larger analysis of datasets.
• It demonstrates the computation of mean, standard deviation, and coefficient of variation, which are crucial measures in statistical analysis.
• The data appears to be related to a statistics course, likely focusing on the analysis of frequency distributions.

This quiz covers the statistical calculations for various frequency distributions, including means, standard deviations, and coefficients of variation. It includes practical examples from a statistics course, illustrating how to analyze and interpret different data sets. Dive in to enhance your skills in statistical analysis!