Matching the relative frequency from the frequency distribution for the 47 highest ranked countries for depth of hunger. From 1 – 5 Depth of Hunger Frequency Relative frequency 1) 230–259 21 2) 260–289 13 3) 290–319 5 4) 320–349 7 5) 350–379 1 a ) 0.2766 b) 0.1064 c) 0.4468 d) 0.021276 e) 0.1489
Answer
Matching Relative Frequency with Depth of Hunger Frequency Distribution
Understanding the Concept:
In statistics, relative frequency refers to the proportion of total observations falling within a particular class. It is calculated by dividing the frequency of each class by the total number of observations.
Here, we are provided with frequencies for five different depth-of-hunger classes among 47 countries. To determine the matching relative frequency for each class, we use the formula:
Relative Frequency = Frequency / Total Observations
Step-by-Step Calculations
- Class 230–259: Frequency = 21
Relative Frequency = 21 / 47 = 0.4468 - Class 260–289: Frequency = 13
Relative Frequency = 13 / 47 ≈ 0.2766 - Class 290–319: Frequency = 5
Relative Frequency = 5 / 47 ≈ 0.1064 - Class 320–349: Frequency = 7
Relative Frequency = 7 / 47 ≈ 0.1489 - Class 350–379: Frequency = 1
Relative Frequency = 1 / 47 ≈ 0.021276
Matching Frequency with Relative Frequency
| Depth of Hunger Class | Frequency | Relative Frequency | Matching Option |
|---|---|---|---|
| 230–259 | 21 | 0.4468 | (c) |
| 260–289 | 13 | 0.2766 | (a) |
| 290–319 | 5 | 0.1064 | (b) |
| 320–349 | 7 | 0.1489 | (e) |
| 350–379 | 1 | 0.021276 | (d) |
Conclusion
By calculating the ratio of each class frequency to the total number of observations (47), we successfully matched each frequency to its corresponding relative frequency option. This analysis aids in understanding the distribution and proportion of countries across the depth of hunger scale.
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