Final answer:
The error interval for the number rounded to 3.62 to two decimal places is from 3.615 to just below 3.625. It represents the range of actual values that could round to 3.62 when considering the next significant digit that is not shown after rounding.
Step-by-step explanation:
If a number rounded to 2 decimal places (d.p.) is 3.62, the error interval for the number before rounding can be determined by considering what values could round to 3.62. Since the number is rounded to 2 d.p., we look at the thousandth place that would affect the rounding to the hundredth place. The smallest number that would round up to .62 must be at least .615 (since if it were .6149, it would round down to .61 when rounded to 2 d.p.). The largest number that would round down to .62 would be anything less than .625 (since .625 would round up to .63). Thus, the error interval is 3.615 to just below 3.625.
To summarize this concept using an example from statistics, if we take the computed confidence interval with given parameters, the result will represent a range within which the true parameter value is likely to lie with a certain degree of confidence. Therefore, understanding error intervals helps in comprehending the concept of confidence intervals in statistical analysis.