Z-Score Probability Calculator

To determine the z-score, we need to use some formula by using standard deviation and mean. Let us see the formula below.

z = (x - μ) / σ

probability values.

• Right-tailed z-test: p-value = P(x > x1) = 1 - P(x < x1)
• Left-tailed z-test: p-value = P(x < x1)

Where,

x is the random number (or) raw data point.

z is the z-score value.

μ is the mean.

σ is the standard deviation.

Here are some basic steps to calculate the z-score easily and manually.

• Let us consider the data which is given in the problem.
• Then you need to calculate the mean and standard deviation.
• Then you need to apply the formula to find a z-score.
• Finally, by simplifying it you will get the result, and then from the z - table calculate the probability of z-score.

Example: In a class 3 students scored 63,87,47. Find the z-score probability of 63?

Solution:

Given scores, 63, 87,47.

Find the mean and standard deviation of the scores.

μ = (67+87+47)/3 = 67.

σ = √((67-67)^2 + (87-67)^2 + (47-67)^2)/3= 28.284

Here, x = 63.

Now, apply the formula, z = (x - μ) / σ

z = (63 - 67)/28.284 = -4/28.28 = -0.14.

By using Z-score table, P(x < x1) = 0.4443, P(x > x1) = 1- P(x < x1) = 1- 0.443 = 0.9557

Utilize our probability calculators to complete your assignments easily that are available at probabilitycalculator.guru.

1. What is Z-Score Probability?

z-score estimates the distance between the mean and observation. The z-score value may be negative or positive.

2. How do you find the probability of Z-Score?

Probability of Z- score or z probability calculator or probability z score calculator, for right tailed and left tailied is found by using the formula. Right-tailed z-test: p-value = P(x > x1) = 1 - P(x < x1), Left-tailed z-test: p-value = P(x < x1).

3. What is the best website for the z-score probability calculator?

Probabilitycalculator.guru is the best website for z-score probability calculator or probability of z score calculator.