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Question
State with reasons whether you agree or disagree with the following statement:
Average can misinterpret the representative value.
Options
Agree
Disagree
Solution
Yes, I agree With this statement.
Reasons :
- The arithmetic mean, mode and median are the types of averages which have certain limitations.
- Arithmetic mean gets affected by extreme values. Its value may not exist in the given series. Mode does not have any significance When the data given is small and none of the items repeat. In case of the median, the array of huge data is laborious.
- Arithmetic mean mode and median are not amenable to mathematical treatment.
Thus, the average can misinterpret the representative value.
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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:
Partition values have application only in theory but not in practice.
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.
