The standard normal table is a table of values that shows the area under the standard normal distribution curve to the left of a given z-score. Percentiles can be calculated using the standard normal table by finding the z-score that corresponds to a given percentile.
For example, let's say we want to find the z-score that corresponds to the 90th percentile. We would first look up the area to the left of the 90th percentile in the standard normal table, which is 0.9000. Then we would find the corresponding z-score in the table, which is approximately 1.28.
This means that 90% of the area under the standard normal distribution curve is to the left of a z-score of 1.28, and 10% of the area is to the right of that value. We can use this information to calculate percentiles for any value in a normal distribution by converting the value to a z-score and then looking up the corresponding area in the standard normal table
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Step-by-step explanation:
The standard normal table is a table of values that shows the area under the standard normal distribution curve to the left of a given z-score. Percentiles can be calculated using the standard normal table by finding the z-score that corresponds to a given percentile.
For example, let's say we want to find the z-score that corresponds to the 90th percentile. We would first look up the area to the left of the 90th percentile in the standard normal table, which is 0.9000. Then we would find the corresponding z-score in the table, which is approximately 1.28.
This means that 90% of the area under the standard normal distribution curve is to the left of a z-score of 1.28, and 10% of the area is to the right of that value. We can use this information to calculate percentiles for any value in a normal distribution by converting the value to a z-score and then looking up the corresponding area in the standard normal table