Data Measurement and Statistics

The act of quantifying variables or events in a strategic, orderly way is referred to as Data Measurement. This process incorporates various scales, such as nominal, ordinal, interval, and ratio. On the contrary, Statistics is a scientific field dedicated to the gathering, examination, and interpretation of data. It offers a structure for extracting dependable conclusions from the given data.

Finding the Median

Find the median of the following set of data: 3, 1, 6, 2, 4, 5, 7

Finding the Mean (Arithmetic)

A survey was conducted to determine the average number of books read by 5 students in a class in a month. The number of books read by each of the students are: 7, 8, 9, 10 and 11. What is the mean number of books read by the students?

Finding the Mode

A group of students were asked what their favorite color is. The responses were as follows: Red, Blue, Green, Red, Blue, Red, Green, Red, Blue, Blue, Green, Red, Blue, Green, Green. What is the mode of this data set?

Finding the Minimum

A data distribution has the following values: 12, 15, 18, 21, 24, 27, 30. What is the minimum value?

Finding the Maximum

A class of 20 students took a math test. The scores are as follows: 85, 90, 78, 92, 88, 76, 95, 89, 90, 87, 84, 92, 88, 79, 82, 95, 90, 88, 92, 87. What is the maximum score in the class?

Finding the Lower or First Quartile

Given a data set of {3, 7, 8, 5, 12, 14, 21, 13, 18}, find the first quartile.

Finding the Upper or Third Quartile

The following 9 numbers represent the scores of 9 students in a math test: 76, 85, 90, 91, 92, 95, 98, 99, 100. Find the upper quartile (Q3) of these scores.

Finding the Five Number Summary

Given the following set of data: {12, 23, 34, 45, 56, 67, 78}. Find the five number summary which includes the minimum, the first quartile (Q1), the median, the third quartile (Q3), and the maximum.