% of scores falling between a z- score of .54 and the mean.
I have no idea how to start this I looked at the table and .54 was not on it and all my examples have two numbers can someone help me understand.
To find the percentage of scores falling between a z-score of 0.54 and the mean, you will need to use the standard normal distribution table, also known as the z-score table or the cumulative distribution function (CDF) table.
However, you mentioned that 0.54 is not on the table, which means you would need to use the table to find the closest value and approximate the answer. Here's how you can approach it:
1. Look for the closest z-score value on the left side of 0.54 in the table. In this case, you can look for the value 0.5, which is the closest available z-score value.
2. Find the corresponding percentage in the table for the z-score of 0.5. Let's say the table shows that the percentage for a z-score of 0.5 is 0.6915.
3. Repeat the process for the mean (a z-score of 0). In this case, the percentage will be 0.5 because the mean divides the distribution in half.
4. To calculate the percentage of scores falling between a z-score of 0.54 and the mean, subtract the percentage of the mean (0.5) from the percentage of the closest z-score value (0.6915).
Percentage = 0.6915 - 0.5 = 0.1915
So, approximately 19.15% of the scores are expected to fall between a z-score of 0.54 and the mean.
Keep in mind that this method provides an approximate answer due to the need to estimate the value from the table. For more precise calculations, you may want to use statistical software or tools that can provide more accurate results.