The Median is the same as the 50th percentile of a distribution.
No, it is not.
Only if the dataset (distribution) you are dealing with in symmetric.
Answer: 0 The z score is the value of the random variable associated with the standardized normal distribution (mean = 0, standard deviation =1). Now, the median and the mean of a normal distribution are the same. The 50 percentile z score = the median = mean = 0.
Each standard deviation represents a certain percentile. So if we use two decimal places, −3 is the 0.13th percentile, −2 the 2.28th percentile, −1 the 15.87th percentile, 0 the 50th percentile , +1 the 84.13th percentile, +2 the 97.72th percentile, and +3 the 99.87th percentile.The mean, median and mode are all the same it the distribution is normal.BUT WHY DOES THIS WORK? HOW DO YOU DO IT?The main idea to make all this work and understandable is that the area under the normal curve is one. So if you have a SD and a mean, you can find the z score.Then, using a calculator, or a table, or even sometimes just some rules you may have learned like the empirical rule, you can find the area to the left or right of any given z score. This area is actually a percentile!So for example, if convert a data point to a z - score using the mean and standard deviation ( The formula is z=(x-mean)/standard deviation, by the way), and I look up the probability of that z-score, and say it is .25. Then it is the 25th percentile.The table below gives you all the percentiles and their corresponding z scores.z-score percentile for normal distributionPercentilez-ScorePercentilez-ScorePercentilez-Score1-2.32634-0.412670.442-2.05435-0.385680.4683-1.88136-0.358690.4964-1.75137-0.332700.5245-1.64538-0.305710.5536-1.55539-0.279720.5837-1.47640-0.253730.6138-1.40541-0.228740.6439-1.34142-0.202750.67410-1.28243-0.176760.70611-1.22744-0.151770.73912-1.17545-0.126780.77213-1.12646-0.1790.80614-1.0847-0.075800.84215-1.03648-0.05810.87816-0.99449-0.025820.91517-0.954500830.95418-0.915510.025840.99419-0.878520.05851.03620-0.842530.075861.0821-0.806540.1871.12622-0.772550.126881.17523-0.739560.151891.22724-0.706570.176901.28225-0.674580.202911.34126-0.643590.228921.40527-0.613600.253931.47628-0.583610.279941.55529-0.553620.305951.64530-0.524630.332961.75131-0.496640.358971.88132-0.468650.385982.05433-0.44660.412992.326
There is not a difference between the 80th percentile and been in the top 80. This is the same thing just written in different ways.
Yes. Usually the value of the lower quantile, median, and upper quantile are in ascending order, how if for the particular set of data, if all values are the same, then these three measures can be the same.
The Median is the same as the 50th percentile of a distribution.
3rd quartile = 75th percentile and so is "better".
No, it is not.
lower quartile
Mean = average and median = the middle value in an array of all values received. So to answer your question the 50th percentile of a distribution is the same as median.
being in the 40 percentile means that 40 percent of the population is the same as you are in this particular factor. This means that 60 percent of the population is different.
you scored 85% better than other people taking the same test at the same time
Only if the dataset (distribution) you are dealing with in symmetric.
You take y liters of the solution and put it into a bucket or container. You then put y (same amount as before) liters of water in the same container, and voila! You now have a container with 50 percentile solution, 50 percentile water.
You may check a baby height percentile calculator so you would determine the percentile ranking of your child compared with other babies of the same age and gender. The World Health Organization has already set a growth chart for boys and girls, based on the child's percentile ranking.