Aset of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. find the percent of data between 4.2 and 5.1. a)about 68% b)about 34% c)about 16% d)about 13.5%

A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.

The correct option is B) about 34%

Proof:

We have to find

To find , we need to use z score formula:

When x = 4.2, we have:

When x = 5.1, we have:

Therefore, we have to find

Using the standard normal table, we have:

=

                                or 34.13%

                               = 34% approximately

Therefore, the percent of data between 4.2 and 5.1 is about 34%

answ9x x 3=

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