# mean, mode,median, binomial

1) The data show the total number of medals (gold, silver, and bronze) won by each country winning at least one gold medal in the 2006 Winter Olympics. Find the mean, median, and mode of the numbers of medals won by these countries.

1 2 3 3 4 9 9 11 11

11 14 14 19 22 23 24 25 29

2) According to a recent study, 1 in every 4 women has been a victim of domestic abuse at some point in her life. Suppose we have randomly and independently sampled twenty-five women and asked each whether she has been a victim of domestic abuse at some point in her life. Find the probability that at least 1 of the women sampled have been the victim of domestic abuse.

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#### Solution Preview

See the attached file.

1)

Medals tally for 18 countries:

x: 1, 2, 3, 3, 4, 9, 9, 11, 11, 11, 14, 14, 19, 22, 23, 24, 25, 29

number of data points (n) = 18

mean (x) = sum(x)/n = (1+2+3+3+4+9+9+11+11+11+14+14+19+22+23+24+25+29)/18 = 13 ...

#### Solution Summary

In first problem mean mode and median of given data is estimated. In second problem, binomial probaility distribution concept is used.