# Pre-cal

posted by .

A set of data is normally distributed with a mean of 16 and a standard deviation of 0.3. What percent of the data is between 15.2 and 16?

I had: 16-t(0.3)=15.2 and 16-t(0.3)=15.7

which came to 0.497-.341=0.156. rounded off I came up with 16%. What did I do wrong??

Thanks

• Pre-cal -

I use the following z-score conversion
z = (mean - given data)/standard deviation

Your data of 15.2 translates into a z-score of -2.66666
and of course your data of 16 gives a z-score of 0
(I don't know where the 15.7 in your second calculation comes from, is it a typo?)

so you want the region between a z-score of 0 and -2.6666 which would be
.5 - .00383 = .19617

I use the following applet instead of tables, in this one you don't even have to convert to z-scores.

http://davidmlane.com/hyperstat/z_table.html

• typo correction Pre-cal -

of course .5 - .00383 = .49617 and not .19617

so 49.6% of the data falls in your given range.

## Similar Questions

1. ### Pre-calculus

A set of data is normally distributed with a mean of 500 and a standard deviation of 40. What percent of the data is between 460 and 540?
2. ### math

A set of data is normally distributed with a mean of 16 and a standard deviation of 0.03. What percent of the data is between 15.2 and 16?
3. ### Math-Statistics

I. Use Chebyshev’s theorem to find what percent of the values will fall between 156 and 276 for a data set with a mean of 216 and standard deviation of 12. II. Use the Empirical Rule to find what two values 68% of the data will fall …
4. ### Math

I. Use Chebyshev’s theorem to find what percent of the values will fall between 156 and 276 for a data set with a mean of 216 and standard deviation of 12. II. Use the Empirical Rule to find what two values 68% of the data will fall …
5. ### Math

The mean of a set of normally distributed data is 550 and the standard deviation is 35. What percent of the data is between 515 and 585?
6. ### Math

Assume a data set is normally distributed with mean 11 and standard deviation 3. If the data set contains 30 data values, approximately how many of the data values will fall within the range 8 to 14?
7. ### Math

Assume a data set is normally distributed with mean 182 and standard deviation 30. If the data set contains 600 data values, approximately how many of the data values will fall within the range 122 to 242?
8. ### math

A set of data is normally distributed with a mean of 455 and a standard deviation of 25. What percent of the data is in the interval 405–455?
9. ### Algebra (Normal Distribution)

The mean of a normally distributed data set is 12, and the standard deviation is 2. ___% of the data points lies between 8 and 16. Find the percentage
10. ### statistics help please

A set of data is NOT NORMALLY DISTRIBUTED. The mean is 300, and the standard deviation is 10. According to Chebyshev's Theorem, atleast what percent of the data would lie between 270 and 330?

More Similar Questions