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Economics · Class 11 Commerce

Ch 3Partition Values — Class 11 Economics, concept-first.

In the earlier chapters of this Maharashtra HSC (MSBSHSE) Std XI Economics course, the median was introduced as the positional average that divides an ordered series into two exactly equal halves.

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Meaning and Purpose of Partition Values

Partition values divide an ordered series into equal parts, generalising the median: quartiles use 4 parts (Q1, Q2, Q3), deciles use 10 parts (D1-D9), and percentiles use 100 parts (P1-P99).

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Chapter contents

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Meaning and Purpose of Partition Values

In the earlier chapters of this Maharashtra HSC (MSBSHSE) Std XI Economics course, the median was introduced as the positional average that divides an ordered series into two exactly equal halves.

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Quartiles — Meaning and Computation for Individual, Discrete and Continuous Series

Quartiles split an ordered series into four equal parts. (the lower quartile) marks the point below which the smallest 25% of observations lie; (the middle quartile) is identical to the median, markin…

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Deciles — Meaning and Computation for Individual, Discrete and Continuous Series

Deciles divide an ordered series into ten equal parts, giving nine deciles through . marks the point below which tenths (i.e., ) of the observations lie — is the 10% point, is the 50% point (the media…

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Percentiles — Meaning and Computation for Individual, Discrete and Continuous Series

Percentiles divide an ordered series into a hundred equal parts, giving ninety-nine percentiles through .

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Relationship Among Median, Quartiles, Deciles and Percentiles

Because quartiles, deciles and percentiles are all built on the identical idea of locating a stated fraction of an ordered series, several of them must always coincide EXACTLY, for ANY dataset — this…

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Graphical Location of Partition Values Using an Ogive

Just as the median of a continuous series can be read off graphically from the point where the 'less than' and 'more than' ogives intersect, EVERY quartile, decile and percentile can be located graphi…

Exercises

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  1. Q9Define quartiles, deciles and percentiles. Into how many parts does each divide a series, and how many such partition values does each famil…Free
  2. Q10State the relationship connecting the median, quartiles, deciles and percentiles of the same distribution.Free
  3. Q11Explain briefly how a quartile can be located graphically using a 'less than' ogive, without needing to draw the 'more than' ogive as well.Preview
  4. Q12Using the same 12 students' marks as Example 1 (14, 18, 20, 22, 25, 26, 28, 30, 33, 35, 40, 45, already arranged in order), find P60.Preview
  5. Q13Using the same 40-family children data as Example 2 (0 children: 4 families, 1: 8, 2: 12, 3: 10, 4: 4, 5: 2), find D8.Preview
  6. Q14Using the same daily-wages data as Example 3 (0–20: 6, 20–40: 10, 40–60: 18, 60–80: 15, 80–100: 11 workers), find P25 and confirm it equals…Preview

More questions

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  1. Example 1The marks scored (out of 50) by 12 first-year Commerce students in an Economics unit test are: 22, 26, 14, 30, 18, 25, 35, 40, 28, 33, 20, 4…Free
  2. Example 2The number of children in each of 40 families in a locality is distributed as follows — 0 children: 4 families, 1: 8, 2: 12, 3: 10, 4: 4, 5:…Free
  3. Example 3The daily wages (in ₹) of 60 workers in a factory are grouped as follows: 0–20: 6 workers, 20–40: 10, 40–60: 18, 60–80: 15, 80–100: 11. Calc…Free
  4. Example 4Using the same daily-wages data as the previous example (0–20: 6, 20–40: 10, 40–60: 18, 60–80: 15, 80–100: 11 workers), calculate D6.Preview
  5. Example 5Using the same daily-wages data (0–20: 6, 20–40: 10, 40–60: 18, 60–80: 15, 80–100: 11 workers), calculate P70.Preview
  6. Example 6Using the same daily-wages data (0–20: 6, 20–40: 10, 40–60: 18, 60–80: 15, 80–100: 11 workers), calculate the Median and Q2, and hence the q…Preview
  7. Example 7Which of the following is always equal to the median of a distribution? (a) Q1 (b) Q3 (c) D5 (d) P25Preview
  8. Example 8In a continuous series, the class containing P50 must be the same class as: (a) the modal class (b) the class containing Q2 (c) the class co…Preview