Question

If X is given as 0.44 when rounded to two decimal places, what is the error interval?

A. 0.435≤X<0.445
B. 0.43≤X<0.45
C. 0.43D. 0.44

Answer 1

The correct error interval for a value of X rounded to 0.44 is 0.435≤X<0.445, which is option A.

Step-by-step explanation:

If X is given as 0.44 when rounded to two decimal places, the error interval represents the range of actual values that could round to 0.44. Since the value is rounded to two decimal places, the error interval is half of one hundredth (0.005) on either side of 0.44. This means that the smallest value that would round up to 0.44 is 0.435, and the largest value that would round down to 0.44 is just under 0.445 (not inclusive).

Therefore, the error interval is 0.435≤X<0.445. Option A is correct.