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V In preparation for writing your report to senior management next week, conduct the following descriptive statistics analyses with Excel®

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In preparation for writing your report to senior management next week, conduct the following descriptive statistics analyses with Excel®. Answer the questions below in your Excel sheet or in a separate Word document:

• Insert a new column in the database that corresponds to "Annual Sales." Annual Sales is the result of multiplying a restaurant's "SqFt." by "Sales/SqFt."
• Calculate the mean, standard deviation, skew, 5-number summary, and interquartile range (IQR) for each of the variables.
• Make box-plot for the "Annual Sales" variable. Does it look symmetric? Would you prefer the IQR instead of the standard deviation to describe this variable's dispersion? Why?
• Make histogram for the "Sales/SqFt" variable. Is the distribution symmetric? If not, what is the skew? Are there any outliers? If so, which one(s)? What is the "SqFt" area of the outlier(s)? Is the outlier(s) smaller or larger than the average restaurant in the database? What can you conclude from this observation?
• What measure of central tendency is more appropriate to describe "Sales/SqFt"? Why?

Pastas R Us, Inc. Database (n = 74 restaurants)

 

Square Feet Per Person Average Spending Sales Growth Over Previous Year (%) Loyalty Card % of Net Sales Annual Sales Per Sq Ft Median HH Income (3 Miles) Median Age (3 Miles) % w/ Bachelor's Degree (3 Miles)

 

SqFt Sales/Person SalesGrowth% LoyaltyCard% Sales/SqFt MedIncome MedAge BachDeg%

2354 6.81 -8.31 2.07 701.97 45177 34.4 31

2604 7.57 -4.01 2.54 209.93 51888 41.2 20

2453 6.89 -3.94 1.66 364.92 51379 40.3 24

2340 7.13 -3.39 2.06 443.04 66081 35.4 29

2500 7.04 -3.30 2.48 399.20 50999 31.5 18

2806 6.93 -1.94 2.96 264.64 41562 36.3 30

2250 7.11 -0.77 2.28 571.59 44196 35.1 14

2400 7.13 -0.37 2.34 642.25 50975 37.6 33

2709 6.58 -0.25 2.20 461.45 72808 34.9 28

1990 6.77 -0.17 2.34 638.82 79070 34.8 29

2392 6.66 0.47 2.09 484.38 78497 36.2 39

2408 7.03 0.55 2.47 581.09 41245 32.2 23

2627 7.03 0.77 2.04 267.71 33003 30.9 22

2500 7.00 1.92 2.02 572.84 90988 37.7 37

1986 7.38 2.05 2.01 586.48 37950 34.3 24

2500 7.18 2.12 2.64 368.73 45206 32.4 17

2668 7.35 2.84 2.22 351.47 79312 32.1 37

2517 6.95 2.88 2.07 458.24 37345 31.4 22

1251 7.02 3.96 1.94 987.12 46226 30.4 36

2998 6.85 4.04 2.17 357.45 70024 33.9 34

2625 7.16 4.05 0.72 405.77 54982 35.6 26

2300 6.99 4.05 2.00 680.80 54932 35.9 20

2761 7.28 4.24 1.81 368.02 34097 33.6 20

2764 7.07 4.58 2.13 303.95 46593 37.9 26

2430 7.05 5.09 2.50 393.90 51893 40.6 21

2154 6.54 5.14 2.63 562.12 88162 37.7 37

2400 6.70 5.48 1.95 494.88 89016 36.4 34

2430 6.91 5.86 2.04 310.07 114353 40.9 34

2549 7.58 5.91 1.41 373.46 75366 35.0 30

2500 7.03 5.98 2.05 235.81 48163 26.4 16

3653 6.84 6.08 2.13 413.08 49956 37.1 28

2440 6.94 6.08 2.08 625.22 45990 30.3 36

2600 7.07 6.13 2.73 274.30 45723 31.3 18

2160 7.00 6.27 1.95 542.62 43800 29.6 36

2800 7.08 6.57 2.04 178.56 68711 32.9 18

2757 6.75 6.90 1.62 375.33 65150 40.7 24

2450 6.81 6.94 1.95 329.09 39329 29.3 22

2400 7.64 7.12 1.64 297.37 63657 37.3 29

2270 6.62 7.39 1.78 323.17 67099 39.8 25

2800 6.76 7.67 2.23 468.84 75151 33.9 28

2520 7.11 7.91 2.15 352.57 93876 35.0 40

2487 7.05 8.08 2.83 380.34 79701 35.0 39

2629 6.90 8.27 2.37 398.12 77115 35.9 30

3200 7.17 8.54 3.07 312.15 52766 33.0 17

2335 6.75 8.58 2.19 452.16 32929 30.9 22

2500 7.45 8.72 1.28 698.64 87863 38.5 29

2449 7.00 8.75 1.76 367.19 73752 40.5 19

2625 6.96 8.79 2.51 431.93 85366 32.1 29

3150 7.30 8.90 1.90 367.06 39180 34.8 18

2625 6.96 9.12 1.98 400.53 56077 38.0 19

2741 6.71 9.47 2.41 414.36 77449 37.0 34

2500 6.82 10.17 2.17 481.11 56822 34.7 25

2450 6.58 10.66 2.16 538.06 80470 36.4 30

2986 7.56 10.97 0.29 330.48 55584 36.8 21

2967 6.98 11.34 1.85 249.93 78001 32.2 30

3000 7.28 11.45 1.88 291.87 75307 34.8 30

2500 6.76 11.51 2.19 517.40 76375 36.7 28

2600 6.92 11.73 2.56 551.58 61857 33.8 31

2800 6.73 11.83 2.16 386.81 61312 34.2 16

2986 6.91 11.95 2.10 427.50 72040 39.0 31

2223 6.77 12.47 1.98 453.94 92414 34.9 40

2300 7.33 12.80 0.87 512.46 92602 39.3 33

3799 7.87 13.78 1.07 345.27 59599 35.6 28

2700 6.95 14.09 3.38 234.04 72453 36.0 23

2650 7.33 14.23 1.17 348.33 67925 41.1 16

2500 6.95 14.60 2.14 348.47 42631 24.7 25

2994 7.21 14.88 0.93 294.95 75652 40.5 25

2718 7.25 15.42 2.22 361.14 39650 32.9 18

3700 7.65 16.18 1.68 467.71 48033 30.3 15

2000 6.93 17.23 2.41 403.78 67403 36.2 19

2400 6.79 18.43 2.81 245.74 80597 32.4 27

2450 7.37 20.76 1.09 339.94 60928 43.5 21

2575 6.76 25.54 0.64 400.82 73762 41.6 29

2400 7.97 28.81 1.77 326.54 64225 31.4 15