Range

3 weeks ago - In descriptive statistics, the range of a set of data is size of the narrowest interval which contains all the data. It is calculated as the difference between the largest and smallest values (also known as the sample maximum and minimum). It is expressed in the same units as the data.

July 13, 2022 - Find the mean of the marks. ... Hence, 70.8 is the required mean. Q.1: If the data set has observations as: 4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7. Then find: ... Solution: Let us arrange the given values from lowest to highest (increasing order). 1, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9. Clearly from the above arrangement, we can conclude that; ... In statistics, the range of observations is the value that is obtained from the difference between the highest and lowest values.

June 21, 2022 - This represents the difference between the smallest and largest values in the dataset. In statistics, the range is important for the following reasons: Reason 1: It tell us the spread of the entire dataset.

Find the difference between the lowest and the highest data point, to get the range. Range helps to define the spread of the data. Knowing the range helps to define the scale to represent the data.

June 21, 2023 - In statistics, the range is the spread of your data from the lowest to the highest value in the distribution. It is a commonly used measure of variability.

It is intuitively obvious why we define range in statistics this way - range should suggest how diversely spread out the values are, and by computing the difference between the maximum and minimum values, we can get an estimate of the spread of the data. ... For example, suppose an experiment ...

October 8, 2023 - Range has got its application in various fields, such as mathematics, science, economics and social sciences. Range is basically used to analyze the variation and dispersion of a dataset.

October 22, 2024 - In this example, there are 11 possible total scores an individual can get on the quiz: 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 and 0. If someone in the sample gets all 10 items correct (earning then 10 points) and another person get 0 items correct (earning them 0 points), the inclusive range will be 11 to represent all 11 possible scores in the range of observations, including the lowest score (which in this example is a 0). Being specific about the exact statistic or formula used can reduce misconceptions and reduce the potential for unintentional misinformation.

Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple! But perhaps too simple ... The range can sometimes be misleading when there are extremely high or low values. ... So the range is 3616 − 5 = 3611. The single value of 3616 makes the range large, but most values are around 10.

Other articles where range is discussed: chemical analysis: Evaluation of results: …measure of variability is the range, given as the difference between the largest and the smallest results.

January 30, 2025 - Later, in 1865, the term appeared in a calculus book called The Differential Calculus by John Spare, which states: “…in respect to the range of values which the function and its variable may sustain, and to their mutual dependence” [1]. Although this reference pertains to calculus rather than statistics, the concept of range in both fields shares a similar meaning, essentially denoting the spread from the smallest to the largest value. According to MacTutor [1], the earliest use of the word domain was used in 1886 by Arthur Cayley in “On Linear Differential Equations” in the Quarterly Journal of Pure and Applied Mathematics: “… for points x within the domain of the point a“.

The range can easily be found with many programming languages. Using software and programming to calculate statistics is more common for bigger sets of data, as finding it manually becomes difficult. With Python use the NumPy library ptp() method to find the range of the values 13, 21, 21, ...

May 9, 2025 - The range in statistics is a fundamental measure of variability that finds practical applications across a variety of fields. Its simplicity and ability to quickly highlight the spread of data make it a valuable tool for professionals seeking to make informed decisions and improve processes. Teachers use the range to assess the spread of student test scores, helping identify gaps in understanding and areas where teaching methods can be improved.

Answer (1 of 3): I don’t use the range for any calculations, at least not directly. I use range to get an idea of the spread of the data. While standard deviation tells me where the bulk of the data lie, the range tells me the full extent.

May 18, 2023 - Everyone can understand the concept of the difference between the maximum and minimum data points. It’s also easy to calculate in your head using summary statistics when you need a quick assessment. Use the range with small datasets to avoid outliers and when you’re comparing samples of the same size.

July 4, 2022 - The range is best used in conjunction with other measures of variability, such as interquartile range and standard deviation, to get a good picture of the variability in your data.

September 11, 2020 - What’s the difference between the range and interquartile range? While the range gives you the spread of the whole data set, the interquartile range gives you the spread of the middle half of a data set.

1 week ago - In statistics, the range is the simplest measure of spread or dispersion within a data set. It is defined as the difference between the highest (maximum) and the lowest (minimum) values in a distribution.

September 29, 2025 - A range in statistics refers to ... much the data "spreads out" or varies. It is commonly used in data handling, exam summaries, and quick result comparisons....

January 7, 2019 - The range is a good way to get ... range of a data set in statistics. The range can also be used to estimate another measure of spread, the standard deviation....