Explain the meaning of “the normal distribution is symmetrical”.

Question

Want to see more full solutions like this?

Answer 1

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 6, Problem 1FP

To determine

Explain the meaning of “the normal distribution is symmetrical”.

Expert Solution & Answer

Explanation of Solution

Symmetric distribution:

When the left and right sides of the distribution are approximately equal or mirror images of each other, then it is symmetric distribution. For this distribution, mean and standard deviation are useful. For a symmetric distribution, mean=median=mode.

In normal distribution, the values of mean, median and mode will locate at the same point and it will divide the distribution in to equal proportions. The graph of the distribution is bell-shaped curve, it means the proportions of left side values of the mean and right side values of the mean are equal.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)

This exercise is based on the following data on four bodybuilding supplements. (Figures shown correspond to a single serving.) Creatine(grams) L-Glutamine(grams) BCAAs(grams) Cost($) Xtend(SciVation) 0 2.5 7 1.00 Gainz(MP Hardcore) 2 3 6 1.10 Strongevity(Bill Phillips) 2.5 1 0 1.20 Muscle Physique(EAS) 2 2 0 1.00 Your personal trainer suggests that you supplement with at least 10 grams of creatine, 39 grams of L-glutamine, and 90 grams of BCAAs each week. You are thinking of combining Xtend and Gainz to provide you with the required nutrients. How many servings of each should you combine to obtain a week's supply that meets your trainer's specifications at the least cost? (If an answer does not exist, enter DNE.) servings of xtend servings of gainz

Answer 2

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 6, Problem 1FP

To determine

Explain the meaning of “the normal distribution is symmetrical”.

Expert Solution & Answer

Explanation of Solution

Symmetric distribution:

When the left and right sides of the distribution are approximately equal or mirror images of each other, then it is symmetric distribution. For this distribution, mean and standard deviation are useful. For a symmetric distribution, mean=median=mode.

In normal distribution, the values of mean, median and mode will locate at the same point and it will divide the distribution in to equal proportions. The graph of the distribution is bell-shaped curve, it means the proportions of left side values of the mean and right side values of the mean are equal.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 6, Problem 1FP

To determine

Explain the meaning of “the normal distribution is symmetrical”.

Expert Solution & Answer

Explanation of Solution

Symmetric distribution:

When the left and right sides of the distribution are approximately equal or mirror images of each other, then it is symmetric distribution. For this distribution, mean and standard deviation are useful. For a symmetric distribution, mean=median=mode.

In normal distribution, the values of mean, median and mode will locate at the same point and it will divide the distribution in to equal proportions. The graph of the distribution is bell-shaped curve, it means the proportions of left side values of the mean and right side values of the mean are equal.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 6, Problem 1FP

To determine

Explain the meaning of “the normal distribution is symmetrical”.

Expert Solution & Answer

Explanation of Solution

Symmetric distribution:

When the left and right sides of the distribution are approximately equal or mirror images of each other, then it is symmetric distribution. For this distribution, mean and standard deviation are useful. For a symmetric distribution, mean=median=mode.

In normal distribution, the values of mean, median and mode will locate at the same point and it will divide the distribution in to equal proportions. The graph of the distribution is bell-shaped curve, it means the proportions of left side values of the mean and right side values of the mean are equal.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 6, Problem 1FP

To determine

Explain the meaning of “the normal distribution is symmetrical”.

Expert Solution & Answer

Explanation of Solution

Symmetric distribution:

When the left and right sides of the distribution are approximately equal or mirror images of each other, then it is symmetric distribution. For this distribution, mean and standard deviation are useful. For a symmetric distribution, mean=median=mode.

In normal distribution, the values of mean, median and mode will locate at the same point and it will divide the distribution in to equal proportions. The graph of the distribution is bell-shaped curve, it means the proportions of left side values of the mean and right side values of the mean are equal.

Answer 6

Chapter 6, Problem 1FP

To determine

Explain the meaning of “the normal distribution is symmetrical”.

Expert Solution & Answer

Explanation of Solution

Symmetric distribution:

When the left and right sides of the distribution are approximately equal or mirror images of each other, then it is symmetric distribution. For this distribution, mean and standard deviation are useful. For a symmetric distribution, mean=median=mode.

In normal distribution, the values of mean, median and mode will locate at the same point and it will divide the distribution in to equal proportions. The graph of the distribution is bell-shaped curve, it means the proportions of left side values of the mean and right side values of the mean are equal.

Answer 7

Chapter 6, Problem 1FP

To determine

Explain the meaning of “the normal distribution is symmetrical”.

Answer 8

Expert Solution & Answer

Explanation of Solution

Symmetric distribution:

When the left and right sides of the distribution are approximately equal or mirror images of each other, then it is symmetric distribution. For this distribution, mean and standard deviation are useful. For a symmetric distribution, mean=median=mode.

In normal distribution, the values of mean, median and mode will locate at the same point and it will divide the distribution in to equal proportions. The graph of the distribution is bell-shaped curve, it means the proportions of left side values of the mean and right side values of the mean are equal.