Average Descriptive Statistics

The concept of Average Descriptive Statistics encompasses measurements of central tendency, which include components such as mean, median, and mode. These statistical methodologies assist in summarizing a collection of data, offering a singular value that exemplifies a typical data entry from the gathered information. They serve an essential function in summarizing and deciphering comprehensive datasets.

Finding the Median

Given the dataset: [5, 10, 15, 20, 25, 30, 35]. What is the median of this data?

Finding the Mean (Arithmetic)

A company is analyzing the productivity of its workers. The number of items produced by each of the 8 workers in a day are: 7, 6, 8, 6, 9, 7, 8, 7. What is the average number of items produced by a worker in a day?

Finding the Mode

A survey was conducted to find the number of hours students spend studying per day. The data collected from 7 students are: 2, 3, 4, 2, 5, 2, 3. Find the average number of hours spent and the mode.

Finding the Geometric Mean

Find the geometric mean of the following set of numbers: 4, 8, 16, 32.

Finding the Quadratic Mean (RMS)

Given the data set {3, 5, 7, 9}, find the quadratic mean (RMS).

Finding the Minimum

Given a data set of five numbers: 10, 13, 15, 8, 12. What is the minimum average value that can be obtained by removing exactly one number from the set?

Finding the Maximum

A data set contains the following values: 14, 7, 8, 15, 3, 10. What is the average of the data set, and what is the maximum value?

Finding the Mid-Range (Mid-Extreme)

Given the set of data points {7, 9, 12, 15, 16, 20, 22}. What is the mid-range of the data set?

Finding the Lower or First Quartile

A statistics student recorded the number of hours she slept each night for a week. The number of hours are as follows: 7, 8, 7, 9, 6, 7, 8. What is the lower or first quartile of this data set?

Finding the Upper or Third Quartile

A teacher has recorded the test scores of five students in her class as follows: 72, 88, 90, 94, 96. What is the upper or third quartile of these scores?

Finding the Interquartile Range (H-Spread)

Given the set of data: \(14, 16, 16, 18, 19, 20, 21, 21, 22, 24, 25, 27\). Find the average, the descriptive statistics, and the interquartile range (H-Spread).

Finding the Midhinge

Given the following set of data points: {6, 9, 15, 18, 22}, calculate the midhinge.

Finding the Five Number Summary

You have been given the following data set: {5, 7, 9, 10, 12, 15, 20}, find the five-number summary.