Measure of center. What is this dataset's typical behavior?

Introduction Measure of central tendency is important when working with datasets because it gives us a summary of the data, it provides a single value that is a summarization of the center point of the dataset. This value gives insight into the dataset as a whole and allows for easier comparison, understanding and decision-making. Measure of center Mean(Arithmetic Average) Mean it the addition/sum of all individual values and divided by the total number In the case of the scores of 12 students Median(Middle Value) Median is the middle value. 50% above and 50% below after being sorted. Mode(Most Frequent Value) Mode is the most frequently occurring value in a dataset. Mean is sensitive to extra values, so, they work well with symmetrical charts, right or left skewed charts wouldn't work well with mean. However, median would be a better option. What is spreed? Variance Variance is the average distance from each data point from the mean. Standard deviation Standard deviation is the square root of the variance. Better than variance because you can easily wrap your head around as it is the square root of the variance. Interquartile Range (IQR) Measures the spread of the middle 50% of data by subtracting the first quartile (Q1) from the third quartile (Q3). (Q1) indicates the boundary for the lower quarter of the dataset, showing where the first 25% of values lie when the data is sorted in ascending order. (Q3) is the value below which 75% of the data falls. It represents the 75th percentile of the dataset. It marks the upper boundary of the third quarter of the data, leaving only the top 25% of values above it. Range The simplest measure of spread, calculated as the difference between the maximum and minimum values in a dataset.

Jan 22, 2025 - 00:27

Measure of center. What is this dataset's typical behavior?

Introduction

Measure of central tendency is important when working with datasets because it gives us a summary of the data, it provides a single value that is a summarization of the center point of the dataset.
This value gives insight into the dataset as a whole and allows for easier comparison, understanding and decision-making.

Measure of center

Mean(Arithmetic Average)

Mean it the addition/sum of all individual values and divided by the total number

In the case of the scores of 12 students

Median(Middle Value)
Median is the middle value. 50% above and 50% below after being sorted.

Mode(Most Frequent Value)
Mode is the most frequently occurring value in a dataset.

Mean is sensitive to extra values, so, they work well with symmetrical charts, right or left skewed charts wouldn't work well with mean.
However, median would be a better option.

What is spreed?

Variance

Variance is the average distance from each data point from the mean.

Standard deviation

Standard deviation is the square root of the variance.
Better than variance because you can easily wrap your head around as it is the square root of the variance.

Interquartile Range (IQR)
Measures the spread of the middle 50% of data by subtracting the first quartile (Q1) from the third quartile (Q3).

(Q1) indicates the boundary for the lower quarter of the dataset, showing where the first 25% of values lie when the data is sorted in ascending order.

(Q3) is the value below which 75% of the data falls. It represents the 75th percentile of the dataset.
It marks the upper boundary of the third quarter of the data, leaving only the top 25% of values above it.