Question
Consider the following table as the frequency distribution of the scores of students in course MFN- 009:-
| Scores: Class Interval | Frequency (f) | Cumulative frequency (F) |
| 95.5-100.5 | 2 | 40 |
| 90.5-95.5 | 2 | 38 |
| 85.5-90.5 | 4 | 36 |
| 80.5-85.5 | 7 | 32 |
| 75.5-80.5 | 11 | 25 |
| 70.5-75.5 | 3 | 14 |
| 65.5-70.5 | 5 | 11 |
| 60.5-65.5 | 4 | 6 |
| 55.5-60.5 | 2 | 2 |
From the data presented above, solve the following questions:
a. Define percentile and percentile rank.
b. Determine 48th (P48) and 58th Percentile (P58).
c. Also, calculate percentile rank of 48th and 58th Percentile.
Answer :
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i.Percentile
In order to calculate the values of percentile, one needs to locate the pointson the scale of measurement upto which the given percent of cases lie. Forcalculating percentile, the formula which we use to calculate median are used.
The formula is:
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