1912Finland 1920 Finland 1 1924 Finland 1928 Finland 1932 Poland 1936 Finland 5

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1912Finland 1920 Finland 1 1924 Finland 1928 Finland 1932 Poland 1936 Finland 5 1948 Czechoslovakia 1952 Czechoslovakia 1 1956 USSR 1960 USR 1964 United States 1968 Kenya 1972 Finland 1976 Finland rl : Finland , is the mode. 1980 Ethiopia 1984 Italy 1988Morocco 1992 Morocco (4 points)Roughly speaking, the standard deviation indicates how far, on average, the observations are from the mean. Do you think that for the following data set, the standard deviation will give a good indication of the typical deviation from the mean? Why or why not? 8. 2,3, 4, 4, 5, 5, 6, 6, 100 9. (4 points) The mean of all the scores on a nationwide standardized was 65 with standard deviation of 5.2 Suppose a student got a score of 72. Calculate the z-score for this observed value. If you wer the parent of this student, would you be more interested in her test score or the z-score? Explain your reasoning. . (4 points lif you flipa coin three times, the possible outcomes are HiHH, HHT, HTH, HIT, THH,TH TTH, what is the probability that the first two tosses come up the same? z ½ bf the first ocres Come up

Explanation / Answer

8) as there is a extreme outlier 100 in the range which will shift the mean towards itself. and therefore the data becomes left skewed. Standard deviation gives a good indication of typical deviation when data is symmetric; but here data is heavily skewed tehrefore it will not given a good indication

9) as z score =(X-mean)/std deviation =(72-65)/5.2=1.35

as z score is a measure of relative performance of an observation in the distribution; therefore a parent must be more willing to know z score of their child to know how well he/she is doing in their standard relative to others/

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