The MEDIAN Function is categorized under Excel Statistical functions. The function will calculate the middle value of a given set of numbers. Median can be defined as the middle number of a group of numbers. That is, half the numbers return values that are greater than the median. How to Use Excel to Find the Mean, Median & Mode Ranges. Microsoft Excel 2010 is designed to store numerical inputs and permit calculation on those numbers, making it an ideal program if you need.

About 'Find mean median and mode of grouped data'

Find mean median and mode of grouped data :

Here we are going to see how to find mean median and mode of grouped data.

Mean :

Arithmetic mean (AM) is one of the measures of central tendency which can be defined as the sum of all observations divided by the number of observations.

Median :

Median is defined as the middle value of the data when the data is arranged in ascending or descending order.

Mode :

If a set of individual observations are given, then the mode is the value which occurs most often.

Let us look into some example problems to understand how to find mean, median and mode of the grouped data.

Example 1 :

Find the mean, median and mode for the following frequency table:

Solution :

Arithmetic mean = ∑fx / N

Arithmetic mean = ∑fx / N = 1680 / 60

= 28

Hence the required arithmetic mean for the given data is 28.

Median :

Here, the total frequency, N = ∑f = 60

N/2 = 60 / 2 = 30

The median is (N/2)^th value = 30^th value.

Now, 30^th value occurs in the cumulative frequency 31, whose corresponding x value is 25.

Hence, the median = 25.

Mode :

By observing the given data set, the number 30 occurs more number of times. That is 15 times.

Hence the mode is 30.

Mean = 28

Mode = 25 and

Mode = 30.

Example 2 :

Find the mean, median and mode for the following frequency table:

Solution :

To find arithmetic mean for this problem, let us use assumed mean method.

Here A = 25

Arithmetic mean = A + [∑fd / N]

= 25 + (0/112)

= 25 + 0

= 25

Hence the required arithmetic mean for the given data is 25.

Median :

Here, the total frequency, N = ∑f = 112

N/2 = 112 / 2 = 61

The median is (N/2)^th value = 61^th value.

Now, 61^th value occurs in the cumulative frequency 25, whose corresponding x value is 25.

Hence, the median = 25.

Mode :

By observing the given data set, the number 23 occurs more number of times. That is 20 times.

Hence the mode is 23.

Mean = 25

Mode = 25

Mode = 23.

Apart from the stuff given on this web page, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

v4formath@gmail.com

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

HCF and LCM word problems

Word problems on simple equations

Finding Mean Median And Mode In Excel For Mac Download

Word problems on linear equations

Trigonometry word problems

Word problems on mixed fractrions

OTHER TOPICS

Ratio and proportion shortcuts

Converting repeating decimals in to fractions

SBI!

Calculating the median from a frequency table is not as straightforward as many would want to think. Note that when working with a frequency table, the numbers might be repeating themselves a number of times and thus this might make it a little bit hard for us to get the median.

It is good to remember that the median is the middle number in a given list of numbers. If the total number is odd, then the median will be the middle one. But if the list is an even number, then we shall have to take n/2 + (n+1)/2 to get the median.

But how do you get the median when you have a frequency table?

This post provides an easy way on how one can get the median from a frequency table.

Figure 1. Final result

Procedure

• For us to get the median of values in a frequency table, we first need to tabulate our table with the values and the number of times the values occur. This is as shown in figure 1 above where we have the values in column A and their frequencies in column B.
• After that, we need to get the maximum number in the array so that we can have columns equal the total number of values in the list. This is as shown from cell D1:M10. Notice that the max value is 10.
• We then have the following formula in cell D2;
  =IF(D$1>$B2,',$A2)
• We then copy this formula across the entire range, from cell D2:M11. This will bring each individual number and not as a frequency.
• After that, we use the normal excel MEDIAN function to get the median of the array of values as shown below;
  =MEDIAN(D2:M11)

Instant Connection to an Expert through our Excelchat Service

Finding Mean Median And Mode In Excel For Mac Shortcut

Most of the time, the problem you will need to solve will be more complex than a simple application of a formula or function. If you want to save hours of research and frustration, try our live Excelchat service! Our Excel Experts are available 24/7 to answer any Excel question you may have. We guarantee a connection within 30 seconds and a customized solution within 20 minutes.