Z Score to Percentile Calculator

Evaluate the percentile score which is associated with the z score values with the help of the z score to percentile calculator. Our normal distribution percentile calculator also shows you the graph with the complete calculations.

What is Z Score To Percentile?

The z score is the measurement that describes the relationship to the mean of the group of values. It is used to compare the values relative to the population.

On the other hand, the percentile is like quartiles that divide the data set into 100 equal parts. In it, the population is divided according to the distribution of values.

How To Find The Percentile From Z Score?

You can find the z score that is associated with the percentile by the z score to percentile calculator to get the area under the curve in the form of a percentage.

In order to find how much observation falls below a certain value of the dataset look at the example below.

Example:

By keeping in account the x score normality table enumerate the percentile of the z score value for the 1.7.

Solution:
As the Given Z-Score is Z = 1.7

First, Use the Normality Table to Find the Value of Pr (Z < 1.7)

Pr (Z < 1.7) = 0.9554

Calculating Equivalent Percentile Value with the Z score to percentile formula:

Percentile = (Z score table value)*100

Percentile = Pr (Z > 1.7) * 100

Percentile = 0.9554 * 100 = 95.54%

1.7 is the 96-th Percentile

z score to percentile

Working of Z Score To Percentile Calculator:

The z score to percentile rank calculator determines the z score that is associated with the percentile by taking into service the following points:

Input:

Put the z-score percitile value
Tap “Calculate”

Output:

Our z score to percentile calculator will give you the following results:

The corresponding percentile to the z-score
Step-by-step calculations
The graph of percentile associated with the z score

Z Score Table:

Converting z score to percentile looks like a challenge but with the help of the z score to percentile calculator and the below table, it can be simplified.

Z	0.00	0.01	0.02	0.03	0.04	0.05	0.06	0.07	0.08	0.09
0.0	0.5000	0.5040	0.5080	0.0120	0.0160	0.0199	0.5239	0.0279	0.0319	0.0359
0.1	0.5398	0.5438	0.5478	0.5517	0.5557	0.5596	0.5636	0.5675	0.5714	0.5753
0.2	0.5793	0.5832	0.5871	0.5910	0.5948	0.5987	0.6064	0.1064	0.6103	0.6141
0.3	0.6179	0.6217	0.6255	0.6293	0.6331	0.6368	0.6406	0.6443	0.6480	0.6517
0.4	0.6554	0.6591	0.6628	0.6664	0.6700	0.6736	0.6772	0.6808	0.6844	0.6879
0.5	0.6915	0.6950	0.6985	0.7019	0.7054	0.7088	0.7123	0.7157	0.7190	0.7224
0.6	0.7257	0.7291	0.7324	0.7357	0.7389	0.7422	0.7454	0.7486	0.7517	0.7549
0.7	0.7580	0.7611	0.7642	0.7673	0.7704	0.7734	0.7764	0.7794	0.7823	0.7852
0.8	0.7881	0.7910	0.7939	0.7967	0.7995	0.8023	0.8051	0.8078	0.8106	0.8133
0.9	0.8159	0.8186	0.8212	0.8238	0.8264	0.8289	0.8315	0.8340	0.8365	0.8389
1.0	0.8413	0.8438	0.8461	0.8485	0.8508	0.8531	0.8554	0.8577	0.8599	0.8621
1.1	0.8643	0.8665	0.8686	0.8708	0.8729	0.8749	0.8770	0.8790	0.8810	0.8830
1.2	0.8849	0.8869	0.8888	0.8907	0.8925	0.8944	0.8962	0.8980	0.8997	0.9015
1.3	0.9032	0.9049	0.9066	0.9082	0.9099	0.9115	0.9131	0.9147	0.9162	0.9177
1.4	0.9192	0.9207	0.9222	0.9236	0.9251	0.9265	0.9279	0.9292	0.9306	0.9319
1.5	0.9332	0.9345	0.9357	0.9370	0.9382	0.9394	0.9406	0.9418	0.9429	0.9441
1.6	0.9452	0.9463	0.9474	0.9484	0.9495	0.9505	0.9515	0.9525	0.9535	0.9545
1.7	0.9554	0.9564	0.9573	0.9582	0.9591	0.9599	0.9608	0.9616	0.9625	0.9633
1.8	0.9641	0.9649	0.9656	0.9664	0.9671	0.9678	0.9686	0.9693	0.9699	0.9706
1.9	0.9713	0.9719	0.9726	0.9732	0.9738	0.9744	0.9750	0.9756	0.9761	0.9767
2.0	0.9772	0.9778	0.9783	0.9788	0.9793	0.9798	0.9803	0.9808	0.9812	0.9817
2.1	0.9821	0.9826	0.9830	0.9834	0.9838	0.9842	0.9846	0.9850	0.9854	0.9857
2.2	0.9861	0.9864	0.9868	0.9871	0.9875	0.9878	0.9881	0.9884	0.9887	0.9890
2.3	0.9893	0.9896	0.9898	0.9901	0.9904	0.9906	0.9909	0.9911	0.9913	0.9916
2.4	0.9918	0.9920	0.9922	0.9925	0.9927	0.9929	0.9931	0.9932	0.9934	0.9936
2.5	0.9938	0.9940	0.9941	0.9943	0.9945	0.9946	0.9948	0.9949	0.9951	0.9952
2.6	0.9953	0.9955	0.9956	0.9957	0.9959	0.9960	0.9961	0.9962	0.9963	0.9964
2.7	0.9965	0.9966	0.9967	0.9968	0.9969	0.9970	0.9971	0.9972	0.9973	0.9974
2.8	0.9974	0.9975	0.9976	0.9977	0.9977	0.9978	0.9979	0.9979	0.9980	0.9981
2.9	0.9981	0.9982	0.9982	0.9983	0.9984	0.9984	0.9985	0.9985	0.9986	0.9986
3.0	0.9987	0.9987	0.9987	0.9988	0.9988	0.9989	0.9989	0.9989	0.9990	0.9990

References:

From the source Wikipedia: Z-score and Percentile, The normal distribution and percentiles, Calculation methods, How to find percentile rank from z score.

From the source statisticsbyjim.com: Z-score, How to Find a Z-score, Z-tables to Calculate Percentiles.

From the source albert.io: Z-score Calculations, Density Curves, Standard Normal Distribution, Percentiles in a Normal Distribution.

Z Score to Percentile Calculator

Related Converters

What is Z Score To Percentile?

How To Find The Percentile From Z Score?

Example:

Solution:
As the Given Z-Score is Z = 1.7

Working of Z Score To Percentile Calculator:

Z Score Table:

References:

Related Converters

Z Score to Percentile Calculator

Related Converters

What is Z Score To Percentile?

How To Find The Percentile From Z Score?

Example:

Solution: As the Given Z-Score is Z = 1.7

Working of Z Score To Percentile Calculator:

Z Score Table:

References:

Related Converters

Solution:
As the Given Z-Score is Z = 1.7