Question

Use this data in the problem below. Follow the steps carefully. Round to the nearest tenth. Lot 1: Week 1: 600 Week 2: 300 Week 3: 500 Week 4: 900 Step 1. Jim enters the data and calculates the average or mean. Step 2. Jim calculates the deviation from the mean by subtracting the mean from each value. Step 3. Jim squares each deviation to remove negative signs. Step 4. Jim sums the squares of each deviation and divides by the count for the variance. Step 5. Jim takes the square root of the variance to find the standard deviation.

Answer 1

Answer:

Step-by-step explanation:

The given data set is:

Week 1: 600

Week 2: 300

Week 3: 500

Week 4: 900

The following are the steps to find the standard deviation:

Step 1. Jim enters the data and calculates the average or mean.

$Mean=\frac{600+300+500+900}{4}=\frac{2300}{4}=575$

Step 2. Jim calculates the deviation from the mean by subtracting the mean from each value.

Data value (x)                                                             $x-{\overline{x}}$

600                                                                           25

300                                                                         -275

500                                                                         -75

900                                                                          325

Step 3. Jim squares each deviation to remove negative signs.

Data value (x)                                                           $(x-{\overline{x}})^2$

600                                                                       625

300                                                                    75625

500                                                                      5625

900                                                                   105625

Step 4. Jim sums the squares of each deviation and divides by the count for the variance.

$Variance=\frac{625+75625+5625+105625}{4}=46875$

Step 5.Jim takes the square root of the variance to find the standard deviation.

$Standard deviation=\sqrt{46875}=216.50$

Answer 2

(1) average = (600 + 300 + 500 + 900) / 4 = 2300/4 = 575

(2) 600 - 575 = 175
300 - 575 = -275
500 - 575 = -75
900 - 575 = 325

(3) 175^2 = 30625
      -275^2 = 75625
      -75^2 = 5625
      325^2 = 105625

(4) (30625 + 75625 + 5625 + 105625) / 4 =
       217500 / 4 = 54375

(5) sqrt 54375 = 233.18 rounds to 233.2