Quartiles divide the data into:

4 equal parts. There are three quartiles making four parts.

Median. Q2 = D5 = P50 = Median.

Percentiles divide data into:

100 parts. P1 to P99 divide the data into 100 parts.

For data 2, 4, 6, 8, 10, 12, 14 (n = 7), Q1 is the size of the ... item:

2nd. Q1 = (n+1)/4 = 8/4 = 2nd item, which is 4.

Statistics Day is celebrated on:

29 June. 29 June is the birthday of P.C. Mahalanobis.

Maharashtra State Board · HSC Commerce · Class 11 (Std XI)

Class 11 Economics Chapter 3: Partition Values

Short notes, key concepts, quick revision and practice MCQs with answers

Partition values divide ordered data into equal parts. They are more useful than the average when the data contains extreme values (outliers) and are widely used to study income and inequality.

Key concepts: Partition Values

Partition values: Values that divide data into equal parts: Quartiles (4 parts), Deciles (10 parts), Percentiles (100 parts). Also called fractiles.
Need: Outliers distort the mean, so partition values give a better picture of position and spread.
Key relation: Q2 = D5 = P50 = Median.
Quartiles: Q1, Q2, Q3: three values dividing data into four equal parts. Q1 = size of (n+1)/4 th item; Q3 = size of 3(n+1)/4 th item (individual series).
Deciles and percentiles: D1 to D9 divide data into ten parts; P1 to P99 into hundred parts.
Uses in economics: Comparing income groups, studying inequality and the poverty line, benchmarking test scores and household income.

Quick revision: important points

Arrange data in ascending order before finding any partition value.
Statistics Day is on 29 June (birthday of P.C. Mahalanobis).
Median is itself a partition value.

Practice MCQs with answers

Quartiles divide the data into:
1. 2 equal parts
2. 4 equal parts
3. 10 equal parts
4. 100 equal parts
Show answer
Answer: B. 4 equal parts
There are three quartiles making four parts.
Q2 is equal to:
1. D1
2. Median
3. P25
4. Mode
Show answer
Answer: B. Median
Q2 = D5 = P50 = Median.
Percentiles divide data into:
1. 10 parts
2. 50 parts
3. 100 parts
4. 1000 parts
Show answer
Answer: C. 100 parts
P1 to P99 divide the data into 100 parts.
For data 2, 4, 6, 8, 10, 12, 14 (n = 7), Q1 is the size of the ... item:
1. 1st
2. 2nd
3. 3rd
4. 4th
Show answer
Answer: B. 2nd
Q1 = (n+1)/4 = 8/4 = 2nd item, which is 4.
Statistics Day is celebrated on:
1. 29 June
2. 15 August
3. 2 October
4. 5 September
Show answer
Answer: A. 29 June
29 June is the birthday of P.C. Mahalanobis.

All Class 11 Economics chapters

Class 11 Economics notes: all chapters