1. The following data provides information about the number of medals won at the

Question

1. The following data provides information about the number of medals won at the olympic Games from 1896 to 2008. CThe dataset can be foundin the online dassroom (D2) course website under the Datasets section). Edition Bronze Gold Silver 1900 142 178 192 1908 211 311 282 1912 284 301 1920 355 497 446 1924 285 301 298 1928 242 229 239 1932 i 196 al 213 206 1936 282 299 294 1948 268 276 270 1952 299 300 290 i 1956 297 298 290 1960 301 295 286 1964 343 330 337 1968 351 341 339 1972 412 387 386 1976 447 429 429 472 460 455 1984 500 A83 476 1988 535 506 505 1992 596 558 551 1996 634 615 610 2000 685 663 667 2004 679 659 660 2008 110 669 663 use the aboveinformation to answer the following a What are the element(s) in this dataset? bv What are the variable(sin this dataset?

Explanation / Answer

1 a) Element is the year in which Olympic games are held i.e. Edition

b) Variables are the following:

Number of bronze medals won

Number of silver medals won

Number of gold medals won

2a) Mean, median, mode of the closing price

The closing price arranged in ascending order is given below

The mean = average = 697.7138

Median is equal to value at the middle point i.e. value of the 7th point = 699.21

Cannot find model based on single values since no value is repeated .

When grouped in sets of 25, get the following table

Mode provides the value with highest frequency

As per this table, there are two modes: 687.5 and 737.5

2b) To calculate variance and standard deviation, we need the following table

Mean for opening price is 638

Variance is 86291.2845/13 = 6637.791

Standard deviation is square root of 6637.971 = 81.473

1 608.42 2 618.25 3 625.61 4 692.1 5 693.01 6 697.77 7 699.21 8 710.81 9 735.72 10 742.6 11 742.95 12 744.95 13 758.88

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