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Quartiles of Grouped Data

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Quartiles of Grouped Data

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About this activity

Estimate quartiles with grouped data

Created by

Marie Sha Alojado
Marie Sha Alojado
Philippines

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Quartiles of Grouped Data
 

Quartiles of Grouped DataOnline version

Estimate quartiles with grouped data

by Marie Sha Alojado
1

The median (Q2) uses N/2 as the target cumulative frequency in grouped data.

2

In grouped data, Q1 is the 25th percentile estimated by interpolation within the class where 0.25N falls.

3

The percentile for grouped data ignores class widths.

4

To find quartiles you take the same class for Q1 and Q3.

5

The estimator formula is L + ((pN - cf)/f) × w, where L is lower boundary, cf is cumulative frequency before the class, f is class frequency, w is class width.

6

Q3 is the 75th percentile estimated by interpolation within its class.

7

Q1 is simply the lower class boundary, with no interpolation.

8

Q2 equals the mean of all data when data are grouped.

9

The total N is not needed when estimating quartiles in grouped data.

10

Quartiles in grouped data rely on class boundaries and frequencies, not only on observed values.

 
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