Calculate the median for this set of data. 100, 55, 98, 140, 101, 98, 53, 57, 70

Let's show an example of a step-by-step solution for a dataset with the following 15 values:

58, 47, 55, 6, 5, 14, 60, 3, 39, 6, 28, 15, 87, 31, 19

Sorting the numbers, we get:

3, 5, 6, 6, 14, 15, 19, 28, 31, 39, 47, 55, 58, 60, 87

There are 15 values, so using the formula (n + 1) / 2 and using n = 15, we find that we need the 8th number in the sorted dataset. So the median is 28.

Another dataset has 16 values:

71, 71, 5, 18, 98, 23, 53, 92, 74, 82, 65, 74, 97, 75, 87, 13

Sort them to get:

5, 13, 18, 23, 53, 65, 71, 71, 74, 74, 75, 82, 87, 92, 97, 98

Using the formula for the median, when there is an even number of values, we need to take the mean value of the n/2'th and (n+2)/2'th values. So that's the 8th and 9th values, which are 71 and 74, respectively. Then we need to take the mean of these values: (71 + 74) / 2 = 145 / 2 = 72.5. So the median is 72.5.

💡 Throughout this article, we've been dealing with the median of a sample. If you've encountered median in statistics and need to test for the equality of medians in two populations, you may want to take a look at our Wilcoxon-Mann-Whitney U test calculator

Median Calculator Instructions

This calculator computes the median from a data set:

To calculate the median from a set of values, enter the observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. You may also copy and paste data into the text box. You do not need to specify whether the data is from a population or a sample, unless you will later examine the variance or the standard deviation. Press the "Submit Data" button to perform the computation. To clear the calculator and enter a new data set, press "Reset".

What is the median

The median is a measure of central tendency. It represents the value for which 50% of observations a lower and 50% are higher. Put simply, it is the value at the center of the sorted observations.

Median formulas

This calculator uses two different formulas for calculating the median, depending on whether the number of observations is odd, or it is even:

When the number of observations is odd

the formula is:

Calculate the median for this set of data. 100, 55, 98, 140, 101, 98, 53, 57, 70

When the number of observations is even

the formula is:

Calculate the median for this set of data. 100, 55, 98, 140, 101, 98, 53, 57, 70

where n is the number of observations.

Question:

Gary F.

Algebra

4 months, 3 weeks ago



Video Answer:

Calculate the median for this set of data. 100, 55, 98, 140, 101, 98, 53, 57, 70

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Video Transcript

So in this question we have to find median 4 given set of data, so first arrange data in ascending order, so that will be 5355577098980101140 point. So number of observation is 9 to in case of odd number of data marian equal n plus 1 by 2 term. So here, n, equal 9, so median will be equal 9 plus 1 by 2 term. That is equal fifth term. So here fifth term in ascending order is 98 point, so we can write hence meridians. Hence median is 98 point.

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Calculate the median for this set of data. 100, 55, 98, 140, 101, 98, 53, 57, 70

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What is the median age of a group of?

Median age is the age that divides a population into two numerically equally sized groups; that is, half the people are younger than this age and half are older.

What is the mean in data?

The mean (aka the arithmetic mean, different from the geometric mean) of a dataset is the sum of all values divided by the total number of values. It's the most commonly used measure of central tendency and is often referred to as the “average.”

What are the two data that appears in the middle in finding the median of the set of data?

Median: The middle number; found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers). Example: The median of 4, 1, and 7 is 4 because when the numbers are put in order (1 , 4, 7) , the number 4 is in the middle.

What is one of the common measures of central tendency quiz?

In Statistics, there are three Measures of Central Tendency: Mean, Median and Mode.