5016(5 complete) HW Scon 3.4.43-T The market capitalizations of 20 companies, in

Question

5016(5 complete) HW Scon 3.4.43-T The market capitalizations of 20 companies, in billions of dollars, are listed to the nght. Complete parts (a) and 1471 170.3.171.3 161.3 170.5 173.3 170.2 171.4 147.7 168.8 165.3 174.1 174.4 156.2 140.6 37.8 184.9 181.8 132.4 199.5 a. Calculate the mean and standard deviation of the market capitalization for this population of 20 companies The mean is = 165245 Round to three decimal places as needed.) The standard deviation is = 16.578 Round to three decimal places as needed.) b. Interpret the parameters calculated in (a). Choose the correct answer below. O A. The standard deviation is small as a portion of the mean. This indicates that the vakues are relatively spread out O B. The standard deviation is large as a portion of the mean. This indicates that the values are relatively concentrated. O C. The standard deviation is large as a portion of the mean. This indicates that the values are relatively spread out O D The standard deviation is small as a portion of the mean. This indicates that the values are relatively concentrated.

Explanation / Answer

Correct option:- The standard deviation is small as a portion of the mean. This indicates that the values are relatively concentrated.

Capitalization (X-Xbar)^2 147.1 329.241 173.3 64.88303 165.3 0.003025 137.8 753.228 176.3 122.213 170.2 24.55202 174.1 78.41102 184.9 386.319 171.3 36.66303 171.4 37.88403 174.4 83.81403 181.8 274.068 161.3 15.56302 147.7 307.827 156.2 81.81203 132.4 1078.794 170.5 27.61503 168.8 12.63803 140.6 607.376 199.5 1173.405 Mean = 3304.9/20 =165.245 Standard deviation= [(X-Xbar)^2/(n-1)}^0.5 Std. Dev.= {5496.31/19}^0.5 Std. Dev.= 17.008

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