SOLUTION: Please show the work. Thank you Problem 60 Refer to the Real Estate data, which report information on homes sold in the Phoenix, Arizona area last year. a. Create a probabilit

Question 708312: Please show the work. Thank you
Problem 60
Refer to the Real Estate data, which report information on homes sold in the Phoenix, Arizona area last year.
a. Create a probability distribution for the number of bedrooms. Compute the mean and the standard deviation of this distribution.
b. Create a probability distribution for the number of bathrooms. Compute the mean and the standard deviation of this distribution.
Data:
Price Bedrooms Size Pool Distance Township Garage Baths 263.1 4 2300 1 17 5 1 2 182.4 4 2100 0 19 4 0 2 242.1 3 2300 0 12 3 0 2 213.6 2 2200 0 16 2 0 2.5 139.9 2 2100 0 28 1 0 1.5 245.4 2 2100 1 12 1 1 2 327.2 6 2500 0 15 3 1 2 271.8 2 2100 0 9 2 1 2.5 221.1 3 2300 1 18 1 0 1.5 266.6 4 2400 0 13 4 1 2 292.4 4 2100 0 14 3 1 2 209.0 2 1700 0 8 4 1 1.5 270.8 6 2500 0 7 4 1 2 246.1 4 2100 0 18 3 1 2 194.4 2 2300 0 11 3 0 2 281.3 3 2100 0 16 2 1 2 172.7 4 2200 1 16 3 0 2 207.5 5 2300 1 21 4 0 2.5 198.9 3 2200 1 10 4 1 2 209.3 6 1900 1 15 4 1 2 252.3 4 2600 0 8 4 1 2 192.9 4 1900 1 14 2 1 2.5 209.3 5 2100 0 20 5 0 1.5 345.3 8 2600 0 9 4 1 2 326.3 6 2100 0 11 5 1 3 173.1 2 2200 1 21 5 1 1.5 187.0 2 1900 0 26 4 0 2 257.2 2 2100 0 9 4 1 2 233.0 3 2200 0 14 3 1 1.5 180.4 2 2000 0 11 5 0 2 234.0 2 1700 0 19 3 1 2 207.1 2 2000 0 11 5 1 2 247.7 5 2400 0 16 2 1 2 166.2 3 2000 1 16 2 1 2 177.1 2 1900 0 10 5 1 2 182.7 4 2000 1 14 4 0 2.5 216.0 4 2300 0 19 2 0 2 312.1 6 2600 0 7 5 1 2.5 199.8 3 2100 0 19 3 1 2 273.2 5 2200 0 16 2 1 3 206.0 3 2100 1 9 3 0 1.5 232.2 3 1900 1 16 1 1 1.5 198.3 4 2100 1 19 1 1 1.5 205.1 3 2000 1 20 4 0 2 175.6 4 2300 1 24 4 1 2 307.8 3 2400 1 21 2 1 3 269.2 5 2200 0 8 5 1 3 224.8 3 2200 0 17 1 1 2.5 171.6 3 2000 1 16 4 0 2 216.8 3 2200 0 15 1 1 2 192.6 6 2200 1 14 1 0 2 236.4 5 2200 0 20 3 1 2 172.4 3 2200 0 23 3 0 2 251.4 3 1900 0 12 2 1 2 246.0 6 2300 0 7 3 1 3 147.4 6 1700 1 12 1 0 2 176.0 4 2200 0 15 1 1 2 228.4 3 2300 0 17 5 1 1.5 166.5 3 1600 1 19 3 0 2.5 189.4 4 2200 0 24 1 1 2 312.1 7 2400 0 13 3 1 3 289.8 6 2000 0 21 3 1 3 269.9 5 2200 1 11 4 1 2.5 154.3 2 2000 0 13 2 0 2 222.1 2 2100 0 9 5 1 2 209.7 5 2200 1 13 2 1 2 190.9 3 2200 1 18 3 1 2 254.3 4 2500 1 15 3 1 2 207.5 3 2100 1 10 2 0 2 209.7 4 2200 1 19 2 1 2 294.0 2 2100 0 13 2 1 2.5 176.3 2 2000 1 17 3 0 2 294.3 7 2400 0 8 4 1 2 224.0 3 1900 1 6 1 1 2 125.0 2 1900 0 18 4 0 1.5 236.8 4 2600 1 17 5 1 2 164.1 4 2300 0 19 4 0 2 217.8 3 2500 0 12 3 0 2 192.2 2 2400 0 16 2 0 2.5 125.9 2 2400 0 28 1 0 1.5 220.9 2 2300 1 12 1 1 2 294.5 6 2700 0 15 3 1 2 244.6 2 2300 0 9 2 1 2.5 199.0 3 2500 1 18 1 0 1.5 240.0 4 2600 0 13 4 1 2 263.2 4 2300 0 14 3 1 2 188.1 2 1900 0 8 4 1 1.5 243.7 6 2700 0 7 4 1 2 221.5 4 2300 0 18 3 1 2 175.0 2 2500 0 11 3 0 2 253.2 3 2300 0 16 2 1 2 155.4 4 2400 1 16 3 0 2 186.7 5 2500 1 21 4 0 2.5 179.0 3 2400 1 10 4 1 2 188.3 6 2100 1 15 4 1 2 227.1 4 2900 0 8 4 1 2 173.6 4 2100 1 14 2 1 2.5 188.3 5 2300 0 20 5 0 1.5 310.8 8 2900 0 9 4 1 2 293.7 6 2400 0 11 5 1 3 179.0 3 2400 0 8 4 1 2 188.3 6 2100 1 14 2 1 2.5 227.1 4 2900 0 20 5 0 1.5 173.6 4 2100 0 9 4 1 2 188.3 5 2300 0 11 5 1 3

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Use

where

is the

th data element of

data elements

to find the mean. Just add up all of the numbers in the column under Bedrooms (or Bathrooms for part (b)), and then divide by the number of pieces of data. I used

because you are dealing with a sample (mnay more than 105 homes were sold in the Phoeniz, AZ area in a year.). If you are considering this set of data to represent the entire population, use

instead of

.

and then you have to decide whether you are calculating the standard deviation for this sample as if it were the entire population or you are using this sample to to estimate the standard deviation of the entire population.

In the first case calculate the population standard deviation using

or in the second case calculate the sample standard deviation using:

You can do your own arithmetic. Have fun.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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