## What percentile is STD?

So, for normally distributed data, the standard deviation will be related to the 16th percentile and the 84th percentile. How about the median and the quartiles? Since the distribution is symmetric, the median will equal the mean. The quartiles are defined as the 25th percentile and the 75th percentile.

## What is the 85th percentile of the standard normal distribution?

Using the standard normal curve, the z-score representing the 85th percentile is 0.67.

**How do you find the 90th percentile of a normal distribution?**

To compute the 90th percentile, we use the formula X=μ + Zσ, and we will use the standard normal distribution table, except that we will work in the opposite direction.

### How do you find q1 and q3 normal distribution?

You can use the following formulas to find the first (Q1) and third (Q3) quartiles of a normally distributed dataset: Q1 = μ – (. 675)σ Q3 = μ + (….Example 2: Find Quartiles Using Mean & Standard Deviation

- IQR = Q3 – Q.
- IQR = 51.35 – 48.65.
- IQR = 2.7.

### What percentile is 3 SD below the mean?

99.7%

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

**Is standard deviation or quartiles better?**

You should use the interquartile range to measure the spread of values in a dataset when there are extreme outliers present. Conversely, you should use the standard deviation to measure the spread of values when there are no extreme outliers present.

## What is the 80th percentile of the standard normal distribution?

Percentile | z-Score |
---|---|

77 | 0.739 |

78 | 0.772 |

79 | 0.806 |

80 | 0.842 |

## What is the 10th percentile of the standard normal distribution?

Therefore, the 10th percentile of the standard normal distribution is -1.28.