## What is the standard deviation if the mean is 80?

5
The mean is 80, and the standard deviation is 5. This means that the standard deviations go above and below the mean in 5 point increments.

### How do you find the probability of a normal distribution given the mean and standard deviation?

Conclusion. In a normally distributed data set, you can find the probability of a particular event as long as you have the mean and standard deviation. With these, you can calculate the z-score using the formula z = (x – μ (mean)) / σ (standard deviation).

#### What does mean of 100 and standard deviation of 15 mean?

An IQ test score is calculated based on a norm group with an average score of 100 and a standard deviation of 15. The standard deviation is a measure of spread, in this case of IQ scores. A standard devation of 15 means 68% of the norm group has scored between 85 (100 – 15) and 115 (100 + 15).

How do you find the normal distribution?

All you have to do to solve the formula is:

1. Subtract the mean from X.
2. Divide by the standard deviation.

How do you find the probability of a normal distribution?

1. Draw a picture of the normal distribution.
2. Translate the problem into one of the following: p(X < a), p(X > b), or p(a < X < b).
3. Standardize a (and/or b) to a z-score using the z-formula:
4. Look up the z-score on the Z-table (see below) and find its corresponding probability.

## How do you find the mean and standard deviation of a distribution?

first subtract the mean, then divide by the Standard Deviation.

### How do you find the proportion of a population with mean and standard deviation?

This is given by the formula Z=(X-m)/s where Z is the z-score, X is the value you are using, m is the population mean and s is the standard deviation of the population. Consult a unit normal table to find the proportion of the area under the normal curve falling to the side of your value.

#### What is considered a high IQ?

A score of 116 or more is considered above average. A score of 130 or higher signals a high IQ. Membership in Mensa, the High IQ society, includes people who score in the top 2 percent, which is usually 132 or higher.

What is the mean of 50 and standard deviation of 10?

Normal distribution with a mean of 50 and standard deviation of 10. 68% of the area is within one standard deviation (10) of the mean (50). The shaded area contains 95% of the area and extends from 55.4 to 94.6. For all normal distributions, 95% of the area is within 1.96 standard deviations of the mean.

What is the mean of a normal distribution?

SOLUTION: A normal distribution has a mean of 80 and a standard deviation of 14. Determine the value above which 80% of values will occur SOLUTION: A normal distribution has a mean of 80 and a standard deviation of 14. Determine the value above which 80% of values will occur

## How to find probability given a mean and standard deviation?

We can use the following process to find the probability that a normally distributed random variableXtakes on a certain value, given a mean and standard deviation: Step 1: Find the z-score. A z-score tells you how many standard deviations away an individual data value falls from the mean. It is calculated as: z-score = (x – μ) / σ

### Which is the value above which 80% of values will occur?

Determine the value above which 80% of values will occur SOLUTION: A normal distribution has a mean of 80 and a standard deviation of 14. Determine the value above which 80% of values will occur Question 200765: A normal distribution has a mean of 80 and a standard deviation of 14. Determine the value above which 80% of values will occur

#### How to find the probability between two values?

Example 3: Probability Between Two Values 1 Step 1: Find the z-scores. First, we will find the z-scores associated with 410 pounds and 425 pounds z-score of 410 =… 2 Step 2: Use the z-table to find the corresponding probability. More