finding the estimated mean, median and mode for grouped data in data mining

estimated median in grouped data in data mining

How to calculate the estimated mean and estimated median of grouped data?

In this tutorial, we will try to learn the followings;

  1. Estimated mean  
  2. Estimated median
  3. Estimated mode
  4. Class intervals
AgeMid  of ageFrequencyMid * Frequency
21 – 2523523 * 5 =  115
26 – 3028228 * 2 = 56 
31 – 3533633 * 6 = 198
35 – 4037837 * 8 = 296
Total 21665

Estimated Mean = 665 / 21

                             = 31.66

Class intervals:

Group 21 to 25, 26 to 30, 31 to 35 and 35 to 40 are class intervals.

Mean is 31.6 so 31.6 rounds to 32.

Estimated mean =  32

Median group = 31 to 35

Estimated Median = ?

Estimated Median = L + (TV / 2) – SBM  ⁄  FMG  * GW

L = Lower boundary of median group30.5
TV =  Total number of values21
SBM = Sum of frequencies before median group7
FMG = Frequency of median group6
GW = Group width5

estimated median in grouped data in data mining

Result: Our median group is 31 to 35 and yes estimated median 33.4 is in the median group.

How to calculate the estimated mode of the above-grouped data?

L = Lower boundary of the median group30.5
SBM = sum of frequencies before the median group7
FMG = Frequency of median group6
FBMG = Sum of frequencies of all groups before the median group7
FBMG = Sum of frequencies of all groups after median group8
GW = Group width5

Mode: Mode is the most occurring Value in the data.

estimated mode of grouped data in data mining

Video Lecture

Next Tutorials with Similar Topics

  1. Type of Data that can be mined – Click Here
  2. Attributes Types – Click Here
  3. Mean, Median, Mode – Click Here
  4. Estimated Mean, Median, Mode – Click Here
  5. Data Quartiles – Click Here
  6. Box Plot for Data – Click Here
  7. Variance and standard deviation of data in data mining – Click Here   Calculator –  Click Here

  8. Data skewness – Click Here
  9. Correlation analysis of numerical data in Data Mining – Click Here
  10. Correlation analysis of Nominal data with Chi-Square Test in Data Mining – Click Here
  11. Data discretization and its techniques in data mining – Click Here
By:Prof. Fazal Rehman Shamil
CEO @ T4Tutorials
Last Modified: May 8, 2020

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