In your daily life or career which if these measure do you use measure of center with mean, median, or mode or measure of variance with range, variance or standard deviation. Select is and give an example
In my daily life or career, I use both measures of center and measures of variance depending on the situation and the type of data being analyzed. Let me explain each of these measures and give you an example for better understanding:
Measures of Center:
1. Mean: The mean is the most commonly used measure of center. It is obtained by summing up all the values in a dataset and then dividing it by the total number of values. I often use the mean when I want to find the average value of a set of data. For instance, if I want to know the average score of a class of students, I would calculate the mean by adding up all the scores and dividing it by the total number of students.
2. Median: The median is the middle value of a dataset when it is sorted in ascending or descending order. I use the median when I want to find the middle value that represents the central tendency, especially when the data contains outliers or extreme values. For example, if I want to determine the median salary in a company, I would arrange the salaries in ascending order and select the middle value.
3. Mode: The mode is the value that appears most frequently in a dataset. I use the mode when I want to find the most commonly occurring value or category in a dataset. For instance, if I want to know the mode of transportation used by people in a city, I would identify the transportation method that occurs most frequently.
Measures of Variance:
1. Range: The range is the difference between the highest and lowest values in a dataset. I use the range when I want to capture the spread or dispersion of the data. For example, if I want to determine the range of ages in a group of individuals, I would subtract the lowest age from the highest age.
2. Variance: Variance is a measure of how far each value in a dataset is from the mean. It quantifies the spread or dispersion of the data points. I use variance when I want to understand the variability or spread of the data. It involves calculating the average of the squared differences between each data point and the mean. It is often used in statistical analysis.
3. Standard Deviation: Standard deviation is the square root of the variance. It measures the average amount by which each data point differs from the mean. It is a commonly used measure of spread and is preferred over variance because it is expressed in the same units as the original data. I use standard deviation when I want to understand the dispersion of data in a more intuitive way.
To summarize, I use the mean, median, and mode as measures of center to understand the central tendency of the data, whereas I use the range, variance, and standard deviation as measures of variance to understand the spread or dispersion of the data.