- 20 Marks
QTB – Nov 2015 – L1 – SB – Q3 – Data Collection Analysis
Calculate the semi-interquartile range and standard deviation for the income distribution of families.
Question
The table below shows the hypothetical incomes of some families in a locality:
| Income (N) | Percent (%) |
|---|---|
| 1000 – 1999 | 6.2 |
| 2000 – 2999 | 5.9 |
| 3000 – 3999 | 7.2 |
| 4000 – 4999 | 8.8 |
| 5000 – 5999 | 7.8 |
| 6000 – 6999 | 15.0 |
| 7000 – 7999 | 17.6 |
| 8000 – 8999 | 12.8 |
| 9000 – 9999 | 8.5 |
| 10,000 – 10,999 | 10.2 |
Required:
a. Determine the semi-interquartile range for the incomes of the families. (10 Marks)
b. Determine the standard deviation for the incomes of the families. (10 Marks)
(Total: 20 Marks)
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