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Question
State with reasons whether you agree or disagree with the following statement:
Partition values have application only in theory but not in practice.
Options
Agree
Disagree
Solution
No, I do not agree with this statement.
Reasons:
- Partition values like quartiles, deciles, percentiles divide the given set of observations into equal number of parts. So they have application in theory.
- Quartiles, deciles, percentiles are very useful to study the concepts of population, unemploy ment, poverty, etc.
- Quartiles, deciles, percentiles are also useful in practice while framing various government policies related to removal of poverty, inequality, measurement of health indicators, etc. Thus, partition values have applications in theory as well as in practice.
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RELATED QUESTIONS
Give the correct option:
Statements related to partition values that are correct.
- Exact divisions of percentiles into 100 parts gives 99 points
- Deciles have total 9 parts
- Quartiles are shown by Q1, Q2 and Q3
- symbolically, percentiles and Deciles are shown by P and D
Choose the correct pair:
| Group A | Group B |
| 1) Quartiles | a) Dj = size of j`((n + 1)/10) ^"th Observation"` |
| 2) Deciles | b) `"P"_k = l +(((kn)/100 – cf)/f) xx "h"` |
| 3) Percentiles | c) `"Q"_i = l +((("in")/4 – cf)/f) xx "h"` |
Give economic term:
Procedure for dividing the data into equal parts.
State with reasons whether you agree or disagree with the following statement:
Average can misinterpret the representative value.
Solve the following:
Calculate Q1, D4, and P26 for the following data.
| 18, 24, 45, 29, 4, 7, 28, 49, 16, 26, 25, 12, 10, 9, 8 |
Solve the following :
Calculate of Q3, D5, and P35 for the given data
| Income (in lakhs ₹) | 1 | 2 | 3 | 4 | 5 | 6 | |
| No. of family | 2 | 5 | 20 | 25 | 15 | 12 | |
A company produces tables which are packed in batches of 100. An analysis of the defective tubes in different batches has received the following information:
| No. of defective tubes | Less than 5 | 5 – 9 | 10 – 14 | 15 – 9 | 20 – 24 | 25 – 29 | 30 and above |
| No. of tubes | 45 | 51 | 84 | 39 | 20 | 8 | 4 |
Estimate the number of defective tubes in the central batch.
