my area is .49 ,in a normal distribution table what value is closest to it?.4901 or .4898?

1. Break Down the Problem

We need to determine which value, .4901 or .4898, is closer to the given area of .49 in a normal distribution table.

2. Relevant Concepts

In a standard normal distribution (Z-distribution), we can look up the cumulative probabilities in a Z-table to find the area to the left of a given Z-score.

3. Analysis and Detail

1. The given area is $A = 0.49$.
2. We will check both values:
   • The area corresponding to 0.4901.
   • The area corresponding to 0.4898.

4. Verify and Summarize

When comparing .4901 and .4898:

• Area $0.4901$ corresponds to a higher Z-score, representing a larger cumulative probability.
• Area $0.4898$ corresponds to a lower Z-score, representing a smaller cumulative probability.

Given that the area we are looking to compare is .49, we find:

• $|0.4901 - 0.49| = 0.0001$
• $|0.4898 - 0.49| = 0.0002$

Thus, .4901 is closer to .49 than .4898.

Final Answer

The value closest to .49 is 0.4901.