For the following Grouped Frequency Data Table (GFDT) answer the questions below. Lower Class LimitUpper Class LimitFrequency60645656977074275798808458589129094159599310010413(a) What is the 39th percentile for the following Grouped Frequency Data Table? (b) What is the 6th decile for the following Grouped Frequency Data Table?

Answered: For the following Grouped Frequency…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For the following Grouped Frequency Data Table (GFDT) answer the questions below.

Lower Class Limit	Upper Class Limit	Frequency
60	64	5
65	69	7
70	74	2
75	79	8
80	84	5
85	89	12
90	94	15
95	99	3
100	104	13

(a) What is the 39^th percentile for the following Grouped Frequency Data Table?

(b) What is the 6^th decile for the following Grouped Frequency Data Table?

Expert Solution

Step 1

make the lower class limits and upper class limit continuous as follows and calculate the cumulative frequency

Lower limit	Upper limit	Frequency	Cumulative frequency
59.5	64.5	5	5
64.5	69.5	7	12
69.5	74.5	2	14
74.5	79.5	8	22
79.5	84.5	5	27
84.5	89.5	12	39
89.5	94.5	15	54
94.5	99.5	3	57
99.5	104.5	13	70
		70

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