Question

26 59 88 109 154 209 265 294 304 321 42 64 96 121 155 224 267 294 304 322

54 77 97 129 164 248 275 299 306 323 57 85 107 136 179 249 287 299 309 324

1. What should the interval size be if you want to use 12 intervals?

2. Generate a Frequency Distribution from the interval size and number of intervals stated above and then tell me what the frequency of the highest interval is. For the lower apparent limit of your lowest interval use a multiple of 5.

3. What is the Relative Frequency of the lowest interval?

4. What is the Midpoint in the interval third one down from the top?

5. What is the Cumulative Relative Frequency in the third interval up from the bottom?

Is there a way to find these answers on my TI-83?

Answer 1

Class Interval	Mid values	Frequency	Relative Frequency	Cumulative Relative Frequency
0 - 27	13.5	1	0.025	0.025
27 - 54	40.5	2	0.05	0.075
54 - 81	67.5	4	0.1	0.175
81 - 108	94.5	5	0.125	0.3
108 - 135	121.5	3	0.075	0.375
135 - 162	148.5	3	0.075	0.45
162 - 189	175.5	2	0.05	0.5
189 - 216	202.5	1	0.025	0.525
216 - 243	229.5	1	0.025	0.55
243 - 270	256.5	4	0.1	0.65
270 - 297	283.5	4	0.1	0.75
297 - 324	310.5	10	0.25	1
		∑ f = 40

1) Minimum = 26

Maximum = 324

Range = 324 – 26 = 298

Class width = 54 – 27 = 27

2) The Highest-class interval = 297 – 324

    The Frequency for the highest-class interval = 10

3) The Relative Frequency of the lowest interval = 0.025

4) The Midpoint in the interval third one down from the top = 67.5

5) The Cumulative Relative Frequency in the third interval up from the bottom = 0.65