Related questions with answers

Percent Change in Stock Market Indexes. The following data show the year-to-date percent change (YTD %\% Change) for 30 stock-market indexes from around the world (The Wall Street Journal).

c. Prepare a histogram. Interpret the histogram, including a discussion of the general shape of the histogram.

Country Index YTD % Change Australia S&P/ASX200 10.210.2 Belgium Bel-20 Sāo Paulo Bovespa S&P/TSX Comp 2.6\quad 2.6 Canada Chile Santiago IPSA

−16.3-16.3

China Shanghai Composite −9.3\quad-9.3 Eurozone

 EURO Stoxx 10.0 CAC 4011.8\begin{array}{ll}\text { EURO Stoxx } & 10.0 \\ \text { CAC } 40 & 11.8\end{array}

France DAX 10.610.6 Germany Hang Seng −3.5\quad-3.5 Hong Kong S&P BSE Sensex

−4.7-4.7

India Tel Aviv FTSE MIB Japan \quad Nikkei 31.4\quad 31.4 Mexico \quad IPC All-Share −6.4\quad-6.4

1.31.3

 Netherlands  AEX 9.3\begin{array}{llr}\text { Netherlands } & \text { AEX } & 9.3\end{array}

Singapore \quad Straits Times −2.5\quad-2.5 South Korea \quad Kospi −6.4-6.4

 Spain  IBEX 356.4\begin{array}{lrr}\text { Spain } & \text { IBEX } 35 & 6.4\end{array}

 Sweden  SX All Share 6.4 Switzeland \begin{array}{lll}\text { Sweden } & \text { SX All Share } & 6.4 \\ \text { Switzeland }\end{array}

 Switzerland  Swiss Market 17.4\begin{array}{llr}\text { Switzerland } & \text { Swiss Market } & 17.4\end{array}

 Taiwan  Weighted 2.3\begin{array}{lll}\text { Taiwan } & \text { Weighted } & 2.3\end{array}

 U.K.  FTSE 1002.3 U.S.  S&P 50010.1\begin{array}{lrr}\text { U.K. } & \text { FTSE } 100 & 2.3 \\ \text { U.S. } & \text { S\&P } 500 & 10.1\end{array}

 U.S.  S&P 50016.1 U.S. \begin{array}{lll}\text { U.S. } & \text { S\&P } 500 & 16.1 \\ \text { U.S. }\end{array}

U.5. DJIA 14.514.5 U.S. \quad Dow Jones Utility 6.6\quad 6.6

 U.S.  Nasdaq 10017.4\begin{array}{llr}\text { U.S. } & \text { Nasdaq } 100 & 17.4\end{array}

 U.S.  Nasdaq Composite 21.1\begin{array}{lll}\text { U.S. } & \text { Nasdaq Composite } & 21.1\end{array}

World DJ Global ex U.S. 4.2\quad 4.2 World DJ Global Index

9.99.9

Percent Change in Stock Market Indexes. The following data show the year-to-date percent change (YTD %\% Change) for 30 stock-market indexes from around the world (The Wall Street Journal).

b. Using a class width of 5 beginning with −20-20 and going to 40 , develop a frequency distribution for the data.

Country Index YTD % Change Australia S&P/ASX200 10.210.2 Belgium Bel-20 Sāo Paulo Bovespa S&P/TSX Comp 2.6\quad 2.6 Canada Chile Santiago IPSA

−16.3-16.3

China Shanghai Composite −9.3\quad-9.3 Eurozone

 EURO Stoxx 10.0 CAC 4011.8\begin{array}{ll}\text { EURO Stoxx } & 10.0 \\ \text { CAC } 40 & 11.8\end{array}

France DAX 10.610.6 Germany Hang Seng −3.5\quad-3.5 Hong Kong S&P BSE Sensex

−4.7-4.7

India Tel Aviv FTSE MIB Japan \quad Nikkei 31.4\quad 31.4 Mexico \quad IPC All-Share −6.4\quad-6.4

1.31.3

 Netherlands  AEX 9.3\begin{array}{llr}\text { Netherlands } & \text { AEX } & 9.3\end{array}

Singapore \quad Straits Times −2.5\quad-2.5 South Korea \quad Kospi −6.4-6.4

 Spain  IBEX 356.4\begin{array}{lrr}\text { Spain } & \text { IBEX } 35 & 6.4\end{array}

 Sweden  SX All Share 6.4 Switzeland \begin{array}{lll}\text { Sweden } & \text { SX All Share } & 6.4 \\ \text { Switzeland }\end{array}

 Switzerland  Swiss Market 17.4\begin{array}{llr}\text { Switzerland } & \text { Swiss Market } & 17.4\end{array}

 Taiwan  Weighted 2.3\begin{array}{lll}\text { Taiwan } & \text { Weighted } & 2.3\end{array}

 U.K.  FTSE 1002.3 U.S.  S&P 50010.1\begin{array}{lrr}\text { U.K. } & \text { FTSE } 100 & 2.3 \\ \text { U.S. } & \text { S\&P } 500 & 10.1\end{array}

 U.S.  S&P 50016.1 U.S. \begin{array}{lll}\text { U.S. } & \text { S\&P } 500 & 16.1 \\ \text { U.S. }\end{array}

U.5. DJIA 14.514.5 U.S. \quad Dow Jones Utility 6.6\quad 6.6

 U.S.  Nasdaq 10017.4\begin{array}{llr}\text { U.S. } & \text { Nasdaq } 100 & 17.4\end{array}

 U.S.  Nasdaq Composite 21.1\begin{array}{lll}\text { U.S. } & \text { Nasdaq Composite } & 21.1\end{array}

World DJ Global ex U.S. 4.2\quad 4.2 World DJ Global Index

9.99.9

Question

Best Paying College Degrees. Each year America.edu ranks the best paying college degrees in America. The following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary (America.edu website). a. Using a class width of 10 , construct a histogram for the percentage increase in the starting salary.

Solution

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Answered 6 months ago
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Firstly, since the smallest value in the provided data set is 4343 and the largest is 113113, by using the formula

Approximate class width=Largest data value−Smallest data valueNumber of classes,\text{Approximate class width}=\frac{\text{Largest data value}-\text{Smallest data value}}{\text{Number of classes}},

the number of classes is:

113−4310=7010=7.\frac{113-43}{10}=\frac{70}{10}=7.

Thus, the classes are the following intervals:

[43,52], [53,62], [63,72], [73,82], [83,92], [93,102], [103,113].[43,52],~[53,62],~[63,72],~[73,82],~[83,92],~[93, 102],~[103, 113].

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