Question

In: Statistics and Probability

Below is the mean income and standard deviation for 2 communities. Tell me what the difference...

Below is the mean income and standard deviation for 2 communities. Tell me what the difference is in these 2 communities. Based on the data only, how might these 2 communities be different:

Community A: mean income = $20,100; standard deviation = $10,022

Community B: mean income = $21,000; standard deviation = $1,035

Solutions

Expert Solution

## Q ) Below is the mean income and standard deviation for 2 communities. Tell me what the difference is in these 2 communities. Based on the data only, how might these 2 communities be different:

Community A: mean income = $20,100; standard deviation = $10,022

Community B: mean income = $21,000; standard deviation = $1,035

Answer :

1) comparison of mean :

here mean for community A is less than community B ,

that is estimate is more for community B than community A , hence we can say that community B is better than

community A . generally average more consider it good .

2) comparison of standard deviation :

here standard deviation for community A is more than community for B

we know that when we compare standard deviation less standard deviation is better than large standard deviation . if less standard deviation then there is less variability then there might have less error . and large standard deviation there is more variability then there might have large error . hence generally less standard deviation is better or good than large standard deviation .  

we can say community income for B is good than community income for A .


Related Solutions

Based on the data below, what is the following? 1. Mean 2. Median 3. Standard deviation...
Based on the data below, what is the following? 1. Mean 2. Median 3. Standard deviation 4. Min 5. Max at the minimum Years Weekend Daily Tour Income Number of Tourists=y Daily Gross Revenue Total Daily Income 1 Friday 3378 432 4838.95 8216.95 1 Saturday 1198 139 3487.78 4685.78 1 Sunday 3630 467 4371.3 8001.3 2 Friday 4550 546 6486.48 11036.48 2 Saturday 2467 198 3437.39 5904.39 2 Sunday 3593 452 4571.43 8164.43 3 Friday 898 119 2515.15 3413.15 3...
what does the variance and standard deviation tell us?
what does the variance and standard deviation tell us?
2. If the mean of a distribution is 100 with a standard deviation of 10, what...
2. If the mean of a distribution is 100 with a standard deviation of 10, what raw score is associated with a z-score of +2.003. 3. Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=43.5? 4. Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is...
1. What is the mean and median? 2. what is the standard deviation? 3. what is...
1. What is the mean and median? 2. what is the standard deviation? 3. what is the minimum and maximum at a minimum? Years Weekend Daily Tour Income Daily Gross Revenue Number of Tourists 1 Friday 3378 4838.95 432 1 Saturday 1198 3487.78 139 1 Sunday 3630 4371.3 467 2 Friday 4550 6486.48 546 2 Saturday 2467 3437.39 198 2 Sunday 3593 4571.43 452 3 Friday 898 2515.15 119 3 Saturday 2812 5462.11 342 3 Sunday 2650 5498.89 321 4...
1. What is the key difference between a population standard deviation and the standard deviation of...
1. What is the key difference between a population standard deviation and the standard deviation of a sampling distribution? 2. How does this effect the normal distribution for the sample? (i.e. shape)
1. What is the mean and standard deviation associated with the standard normal distribution? 2. Use...
1. What is the mean and standard deviation associated with the standard normal distribution? 2. Use the standard normal distribution table to calculate the following probabilities A) P (z ≤ -1.64) B) P (z ≤ 2.11) C) P (z ≥ 0.73) D) P (-1.31 ≤ z ≤ -0.32) 3. Use the standard normal distribution table to find the z-value for each of the following A) P (z ≤ ?) = 0.9495 B) P (z ≤ ?) = 0.2810 C) P...
What is the standard deviation of the standard normal distribution? What is the mean of the...
What is the standard deviation of the standard normal distribution? What is the mean of the standard normal distribution? All symmetric distributions are normal distributions. True or false? Assume body temperature scores are normally distributed in the population with a mean of 36.81°C and a standard deviation of 0.41°C. A person's body temperature is 37.33°C. Calculate their z-score. (Round answer to 2 decimal places) Calculate the z-score for a person who has a body temperature of 35.72°C. (Round answer to...
What is the difference between the standard deviation and the standard error? Is the standard error...
What is the difference between the standard deviation and the standard error? Is the standard error a standard deviation?
Question 2 What is the difference, if any, between the standard deviation of the sample means...
Question 2 What is the difference, if any, between the standard deviation of the sample means and the standard error of the sample means? Discuss
What is the benefit of using mean deviation over standard deviation?
What is the benefit of using mean deviation over standard deviation?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT