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Problem 1 The following table shows America's 10 largest corporations for 2020. Next to each corporation is its market capitalization (in $ billions as of

Problem 1

The following table shows America's 10 largest corporations for 2020. Next to each corporation is its market capitalization (in $ billions as of March 26, 2020) and its total return (in %) to investors for the year 2020.

Company Mkt.Cap. Total Return
Walmart 211 -2.7
Exxon Mobil 316 -12.6
Chevron 151 8.1
General Electric 198 -0.4
Bank of America 182 7.3
Conoco Philips 80 2.9
AT & T 157 4.8
Ford Motor 49 336.7
JP Morgan Chase 190 19.9
Hewlett-Packard 127 43.1

Calculate the mean and the median for market capitalization. Calculate the mean and the median for total return. For each variable (market capitalization and total return), comment on which measure better reflects central location.

Problem 2.

Calculate the 20th, 50th, and 80th percentiles for the following data set:

120 215 187 343 268 196 312

Problem 3:

Sales for Bata (in millions of Rp), 2015-2020

Year 2016 2017 2018 2019 2020
Sales 14,322 15,883 15,203 15,534 17,915

Calculate the growth rates for 2016-2017, 2017-2018, 2018-2019, and 2019-2020 and use

them to compute the average growth rate.

Problem 4: Problem 1

The following table shows America's 10 largest corporations for 2020. Next to each corporation is its market capitalization (in $ billions as of March 26, 2020) and its total return (in %) to investors for the year 2020.

Company Mkt.Cap. Total Return
Walmart 211 -2.7
Exxon Mobil 316 -12.6
Chevron 151 8.1
General Electric 198 -0.4
Bank of America 182 7.3
Conoco Philips 80 2.9
AT & T 157 4.8
Ford Motor 49 336.7
JP Morgan Chase 190 19.9
Hewlett-Packard 127 43.1

Calculate the mean and the median for market capitalization. Calculate the mean and the median for total return. For each variable (market capitalization and total return), comment on which measure better reflects central location.

Problem 2.

Calculate the 20th, 50th, and 80th percentiles for the following data set:

120 215 187 343 268 196 312

Problem 3:

Sales for Bata (in millions of Rp), 2015-2020

Year 2016 2017 2018 2019 2020
Sales 14,322 15,883 15,203 15,534 17,915

Calculate the growth rates for 2016-2017, 2017-2018, 2018-2019, and 2019-2020 and use

them to compute the average growth rate.

Problem 4:

Frequency distribution of house prices (in $1,000s):

Class Frequency
400 - 500 5
500 - 600 12
600 - 700 15
700 - 800 6
800 - 900 3

a. Calculate the average house price.

b. Calculate the sample variance and the sample standard deviation.

Frequency distribution of house prices (in $1,000s):

Class Frequency
400 - 500 5
500 - 600 12
600 - 700 15
700 - 800 6
800 - 900 3

a. Calculate the average house price.

b. Calculate the sample variance and the sample standard deviation.

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