Mean,Mode and Range Calculator – calculatoronline.in

Mean ,Mode and Range Calculator-मीन, मोड और रेंज कैलकुलेटर

In mathematics, the mean, mode, and range are measures of central tendency and variability that help to summarize and describe data sets.गणित में, माध्य, विधि और सीमा केंद्रीय प्रवृत्ति और परिवर्तनशीलता के उपाय हैं जो डेटा सेटों को संक्षेप में प्रस्तुत करने और उनका वर्णन करने में मदद करते हैं।

Mean, Median, Mode, Range Calculator

Enter numbers (comma separated):

Mean:

Median:

Mode:

Range:

Sum:

Largest:

Smallest:

Count:

Common Questions About Mean,Mode and Range

Mean

The mean (or average) is calculated by adding all the numbers in a data set and then dividing by the count of numbers.Formula: $Mean = n \sum x ^{i}$ where $\sum x_{i}$ is the sum of all data points and $n$ is the number of data points.

Mode

The mode is the number that appears most frequently in a data set. A data set may have one mode, more than one mode, or no mode at all if no number repeats.Formula: There is no specific formula for the mode; it’s identified by observation.

Range

The range is the difference between the highest and lowest values in a data set.

Formula:

$Range = Maximum value -$ $Minimum value$

Examples

Example 1

Data Set: 3, 7, 7, 2, 10, 3, 7

Mean: Mean=3+7+7+2+10+3+77=397≈5.57 Mean≈5.57
Mode: The number 7 appears most frequently.Mode=7
Range: Range=10−2=8Range=8

Example 2

Data Set: 15, 18, 22, 18, 30, 18, 9

Mean: $Mean = 7 15 + 18 + 22 + 18 + 30 + 18 + 9 = 7 130 \approx 18.57$ $Mean \approx 18.57$
Mode: The number 18 appears most frequently. $Mode = 18$
Range: $Range = 30 - 9 = 21$ $Range = 21$

Example 3

Data Set: 5, 8, 12, 15, 8, 12, 20

Mean: $Mean = 7 5 + 8 + 12 + 15 + 8 + 12 + 20 = 7 80 \approx 11.43$ $Mean \approx 11.43$
Mode: Both 8 and 12 appear twice, so the data set is bimodal.
$Mode = 8, 12$
Range: $Range = 20 - 5 = 15$ $Range = 15$

Summary

Understanding mean, mode, and range is fundamental in statistics. The mean provides the average of a data set, the mode identifies the most frequent value, and the range shows the spread of the values. These measures help to simplify and interpret complex data, making it easier to identify trends and patterns.

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