QUESTION IMAGE
Question
as of 2011, the following are the ages at which a country’s presidents were inaugurated. 63, 57, 42, 63, 52, 69, 53, 52, 66, 52, 56, 52, 62, 64, 50, 53, 57, 60, 61, 59, 62, 50, 66, 48, 61, 47, 68, 49, 46, 58, 69, 54, 52, 42, 52, 45, 50, 56, 62, 47, 57, 58, 66, 54 construct a grouped frequency distribution for the data. use 41 - 45 for the first class and use the same width for each subsequent class. type the frequency value for each class. age frequency 41-45
Step1: Calculate class width
First class: 41-45. Width = 45 - 41 + 1 = 5.
Step2: List all classes
Subsequent classes: 46-50, 51-55, 56-60, 61-65, 66-70.
Step3: Count frequencies for each class
- 41-45: Ages 42,42,45 → 3
- 46-50: Ages 46,47,47,48,49,50,50 → 7
- 51-55: Ages 52,52,52,52,52,53,53,54,54 → 9
- 56-60: Ages 56,56,57,57,57,58,58,59,60 → 9
- 61-65: Ages 61,61,62,62,62,63,63,64 → 8
- 66-70: Ages 66,66,66,68,69,69 → 6
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| Age | Frequency |
|---|---|
| 46-50 | 7 |
| 51-55 | 9 |
| 56-60 | 9 |
| 61-65 | 8 |
| 66-70 | 6 |