## How do you find the 75th percentile of a normal distribution?

This can be found by using a z table and finding the z associated with 0.75.

The value of z is 0.674.

Thus, one must be .

674 standard deviations above the mean to be in the 75th percentile..

## What does being in the 75th percentile mean?

If a child’s weight is at the 50th percentile line, that means that out of 100 normal children her age, 50 will be bigger than she is and 50 smaller. Similarly, if she is in the 75th percentile, that means that she is bigger than 75 children and smaller than only 25, compared with 100 children her age.

## What is the 25th percentile of the data set?

The first quartile is referred to as Q1 or the lower quartile. This value is the 25th percentile, in which the lower quarter of the values fall below the 25th percentile while three quarters are above it. The second quartile, or Q2, is the value at the 50th percentile. This is the median of the data set.

## What is the z score of the 25th percentile?

Recall that the mean BMI for women aged 60 the mean is 28 with a standard deviation of 7. The table below shows Z values for commonly used percentiles….Computing Percentiles.PercentileZ5th-1.64510th-1.28225th-0.67550th07 more rows•Jul 24, 2016

## How do you find the 25th percentile?

Since the score with a rank of IR (which is 5) and the score with a rank of IR + 1 (which is 6) are both equal to 5, the 25th percentile is 5. In terms of the formula: 25th percentile = (. 25) x (5 – 5) + 5 = 5.

## What is the 25th 50th and 75th percentile?

The 25th percentile is also known as the first quartile (Q1), the 50th percentile as the median or second quartile (Q2), and the 75th percentile as the third quartile (Q3). In general, percentiles and quartiles are specific types of quantiles.