Z Score to Percentile Calculator

Z-Score to Percentile Calculator

The Z Score to percentile calculator calculates the associated percentile score to the z score values.

How to Find Percentile From Z Score?

For the Z Score to percentile conversion, you need to find the corresponding value of the percentile from the z-score table. A z score to percentile value describes how much percentage of the observation falls below a certain value of the dataset.

Example:

Find the Percentile of the z-score value of 1.2. Use the z score normality table of relative values of percentile and z score.

Solution:

Now check the normality table to find the percentile relative to the z score value: Then Z score =1.2 = 0.8849 Z score to percentile formula

Percentile = (Z score table value) * 100

Percentile = (0.8849) * 100

Percentile = 88.49 %

The above value is the 88th percentile value. So the corresponding z score = 1.2 is falling in the 88th percentile

Working of Z Score to Percentile Calculator:

You can find the relative percentile and the z score values by normal distribution percentile calculator as:

Input:

Enter the Z score value
Hit the calculate button

Output:

The corresponding percentile to the Z score

FAQs

Why Use the Z Score in Statistics?

The z-score is used in statistical analysis because it tells you not only about the value itself, but also where the value lies in the distribution.

What Do Percentiles Tell You About Data?

In statistics, the percentile is used to describe how a score compares to other scores from the same set.

Z Score Table:

Z	0	1	2	3	4	5	6	7	8	9
-3.0	0.13%	0.13%	0.13%	0.12%	0.12%	0.11%	0.11%	0.11%	0.10%	0.10%
-2.9	0.19%	0.18%	0.18%	0.17%	0.16%	0.16%	0.15%	0.15%	0.14%	0.14%
-2.8	0.26%	0.25%	0.24%	0.23%	0.23%	0.22%	0.21%	0.21%	0.20%	0.19%
-2.7	0.35%	0.34%	0.33%	0.32%	0.31%	0.30%	0.29%	0.28%	0.27%	0.26%
-2.6	0.47%	0.45%	0.44%	0.43%	0.41%	0.40%	0.39%	0.38%	0.37%	0.36%
-2.5	0.62%	0.60%	0.59%	0.57%	0.55%	0.54%	0.52%	0.51%	0.49%	0.48%
-2.4	0.82%	0.80%	0.78%	0.75%	0.73%	0.71%	0.70%	0.68%	0.66%	0.64%
-2.3	1.07%	1.04%	1.02%	0.99%	0.96%	0.94%	0.91%	0.89%	0.87%	0.84%
-2.2	1.39%	1.36%	1.32%	1.29%	1.26%	1.22%	1.19%	1.16%	1.13%	1.10%
-2.1	1.79%	1.74%	1.70%	1.66%	1.62%	1.58%	1.54%	1.50%	1.46%	1.43%
-2.0	2.28%	2.22%	2.17%	2.12%	2.07%	2.02%	1.97%	1.92%	1.88%	1.83%
-1.9	2.87%	2.81%	2.74%	2.68%	2.62%	2.56%	2.50%	2.44%	2.39%	2.33%
-1.8	3.59%	3.52%	3.44%	3.36%	3.29%	3.22%	3.14%	3.07%	3.01%	2.94%
-1.7	4.46%	4.36%	4.27%	4.18%	4.09%	4.01%	3.92%	3.84%	3.75%	3.67%
-1.6	5.48%	5.37%	5.26%	5.16%	5.05%	4.95%	4.85%	4.75%	4.65%	4.55%
-1.5	6.68%	6.55%	6.43%	6.30%	6.18%	6.06%	5.94%	5.82%	5.71%	5.59%
-1.4	8.08%	7.93%	7.78%	7.64%	7.49%	7.35%	7.22%	7.08%	6.94%	6.81%
-1.3	9.68%	9.51%	9.34%	9.18%	9.01%	8.85%	8.69%	8.53%	8.38%	8.23%
-1.2	11.51%	11.31%	11.12%	10.94%	10.75%	10.57%	10.38%	10.20%	10.03%	9.85%
-1.1	13.57%	13.35%	13.14%	12.92%	12.71%	12.51%	12.30%	12.10%	11.90%	11.70%
-1.0	15.87%	15.63%	15.39%	15.15%	14.92%	14.69%	14.46%	14.23%	14.01%	13.79%
-0.9	18.41%	18.14%	17.88%	17.62%	17.36%	17.11%	16.85%	16.60%	16.35%	16.11%
-0.8	21.19%	20.90%	20.61%	20.33%	20.05%	19.77%	19.49%	19.22%	18.94%	18.67%
-0.7	24.20%	23.89%	23.58%	23.27%	22.97%	22.66%	22.36%	22.07%	21.77%	21.48%
-0.6	27.43%	27.09%	26.76%	26.44%	26.11%	25.79%	25.46%	25.14%	24.83%	24.51%
-0.6	27.43%	27.09%	26.76%	26.44%	26.11%	25.79%	25.46%	25.14%	24.83%	24.51%
-0.5	30.85%	30.50%	30.15%	29.81%	29.46%	29.12%	28.77%	28.43%	28.10%	27.76%
-0.4	34.46%	34.09%	33.72%	33.36%	33.00%	32.64%	32.28%	31.92%	31.56%	31.21%
-0.3	38.21%	37.83%	37.45%	37.07%	36.69%	36.32%	35.94%	35.57%	35.20%	34.83%
-0.2	42.07%	41.68%	41.29%	40.91%	40.52%	40.13%	39.74%	39.36%	38.97%	38.59%
-0.1	46.02%	45.62%	45.22%	44.83%	44.43%	44.04%	43.64%	43.25%	42.86%	42.47%
-0.0	50.00%	49.60%	49.20%	48.80%	48.40%	48.01%	47.61%	47.21%	46.81%	46.41%
0.0	50.00%	50.40%	50.80%	51.20%	51.60%	51.99%	52.39%	52.79%	53.19%	53.59%
0.1	53.98%	54.38%	54.78%	55.17%	55.57%	55.96%	56.36%	56.75%	57.14%	57.54%
0.2	57.93%	58.32%	58.71%	59.10%	59.48%	59.87%	60.26%	60.64%	61.03%	61.41%
0.3	61.79%	62.17%	62.55%	62.93%	63.31%	63.68%	64.06%	64.43%	64.80%	65.17%
0.4	65.54%	65.91%	66.28%	66.64%	67.00%	67.36%	67.72%	68.08%	68.44%	68.79%
0.5	69.15%	69.50%	69.85%	70.19%	70.54%	70.88%	71.23%	71.57%	71.90%	72.24%
0.6	72.58%	72.91%	73.24%	73.57%	73.89%	74.22%	74.54%	74.86%	75.18%	75.49%
0.7	75.80%	76.12%	76.42%	76.73%	77.04%	77.34%	77.64%	77.94%	78.23%	78.52%
0.8	78.81%	79.10%	79.39%	79.67%	79.96%	80.23%	80.51%	80.79%	81.06%	81.33%
0.9	81.59%	81.86%	82.12%	82.38%	82.64%	82.89%	83.15%	83.40%	83.65%	83.89%
1.0	84.13%	84.38%	84.61%	84.85%	85.08%	85.31%	85.54%	85.77%	85.99%	86.21%
1.1	86.43%	86.65%	86.86%	87.08%	87.29%	87.49%	87.70%	87.90%	88.10%	88.30%
1.2	88.49%	88.69%	88.88%	89.07%	89.25%	89.44%	89.62%	89.80%	89.97%	90.15%
1.3	90.32%	90.49%	90.66%	90.82%	90.99%	91.15%	91.31%	91.47%	91.62%	91.77%
1.4	91.92%	92.07%	92.22%	92.36%	92.51%	92.65%	92.79%	92.92%	93.06%	93.19%
1.5	93.32%	93.45%	93.57%	93.70%	93.82%	93.94%	94.06%	94.18%	94.30%	94.41%
1.6	94.52%	94.63%	94.74%	94.85%	94.95%	95.05%	95.15%	95.25%	95.35%	95.45%
1.7	95.54%	95.64%	95.73%	95.82%	95.91%	95.99%	96.08%	96.16%	96.25%	96.33%
1.8	96.41%	96.49%	96.56%	96.64%	96.71%	96.78%	96.86%	96.93%	97.00%	97.06%
1.9	97.13%	97.19%	97.26%	97.32%	97.38%	97.44%	97.50%	97.56%	97.62%	97.67%
2.0	97.73%	97.78%	97.83%	97.88%	97.93%	97.98%	98.03%	98.08%	98.12%	98.17%
2.1	98.21%	98.26%	98.30%	98.34%	98.38%	98.42%	98.46%	98.50%	98.54%	98.57%
2.2	98.61%	98.68%	98.68%	98.71%	98.75%	98.78%	98.81%	98.84%	98.87%	98.90%
2.3	98.93%	98.96%	98.98%	99.01%	99.04%	99.06%	99.09%	99.11%	99.13%	99.16%
2.4	99.18%	99.20%	99.22%	99.25%	99.27%	99.29%	99.31%	99.32%	99.34%	99.36%
2.5	99.38%	99.40%	99.41%	99.43%	99.45%	99.46%	99.48%	99.49%	99.51%	99.52%
2.6	99.53%	99.55%	99.56%	99.57%	99.59%	99.60%	99.61%	99.62%	99.63%	99.64%
2.7	99.65%	99.66%	99.67%	99.68%	99.69%	99.70%	99.71%	99.72%	99.73%	99.74%
2.8	99.74%	99.75%	99.76%	99.77%	99.77%	99.78%	99.79%	99.80%	99.80%	99.81%
2.9	99.81%	99.82%	99.83%	99.83%	99.84%	99.84%	99.85%	99.85%	99.86%	99.86%
3.0	99.87%	99.87%	99.87%	99.88%	99.88%	99.89%	99.89%	99.89%	99.90%	99.90%

References:

From the source of the statisticsbyjim.com: Z-score, Definition

From the source of the albert.io: Z-score Calculations, Percentiles