- 1 Marks
Question
The age distribution of the administrative staff in a tyre manufacturing company is distributed as follows:
| Age of administrative staff (years) | Number of administrative staff |
|---|---|
| 28 and under 34 | 2 |
| 34 and under 40 | 15 |
| 40 and under 46 | 19 |
| 46 and under 52 | 10 |
| 52 and under 58 | 3 |
| 58 and under 64 | 1 |
If the first quartile age is 38.2 years, then the quartile deviation of the age distribution is:
A. 3.45 years
B. 4.35 years
C. 4.53 years
D. 5.34 years
E. 5.43 years
Answer
Answer: B. 4.35 years
Explanation:
Quartile deviation is calculated as:
Where:
- Q1 = (first quartile)
- The interquartile range (difference between Q3 and ) is given as part of the question or calculated from the data.
From the given values, the quartile deviation is calculated as 4.35 years, which corresponds to option B.
- Tags: Age Distribution, Dispersion, Quartile Deviation
- Level: Level 1
- Topic: Data Collection Analysis
- Series: MAY 2017
- Uploader: Kwame Aikins