Question

70 52 89 53 27 39 97 4 91 93 37 33 19 38 88 3 68 79 61 51 64 43 47 63 17 22 72 43 73 23 63 22 79 48 79 65 47 45 12 64 55 78 6 18 18 56 99 92. 55 10 94 28 51 88 31 30 85 83 42 39 70 55 81 64 96 58 40 20 85 35 46 76 49 26 49 27 17 76 49 94 18 11 3 57 46 61 63 4 68 8 16 68 6 90 49 74 52 89 C00 - RANGES	FREQUENCY	RELATIVE FREQUENCY	CUMULATIVE REL. FREQ.
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
	'= 100 DATA VALUES??

SO, WHAT DOES A FREQUENCY TABLE TELL US?
If you wrote each of the above data values on a ping pong ball,, put them in a jar and blindly pulled one out:
What is the probability that this ball would have a number between 1 and 10 on it: _____, between 21 and 40: _____
What is the probability the number is between 31 and 70 (inclusive): ________?

Answer 1

The frequency table for the given data looks as follows:

Range	Frequency	Relative Freq.	Cum. Freq.
1-10	10	10%	10%
11-20	10	10%	20%
21-30	8	8%	28%
31-40	8	8%	36%
41-50	13	13%	49%
51-60	11	11%	60%
61-70	14	14%	74%
71-80	9	9%	83%
81-90	9	9%	92%
91-100	8	8%	100%

Using the above table:

1) P(Ball has a number between 1 and 10 on it) = Relative frequency of range 1-10 = 10% = 0.1

2)  P(Ball has a number between 21 and 40 on it) = Relative frequency of range 21-40 = 8% + 8% = 0.16

3)  P(Ball has a number between 31 and 70 on it) = Relative frequency of range 31-70

= 8% + 13% + 11% + 14% = 0.46