2/15/18 Math 2314 Macari Test #1 7. (4 points)The table shows the count Summer O

Question

2/15/18 Math 2314 Macari Test #1 7. (4 points)The table shows the count Summer Olympic Games in various years. Find the mode. ry represented by the winner of the 10,000 meter run in the Year Country 1912 1920 1924 1928 Finland 1932Poland 1936 Finland 1948 Czechoslovakia 1952 Czechoslovakia 1956 USSR 1960 USSR 1964 United States 1968 Kenya 1972 Finland 1976 Finland 1980 Ethiopia 1984 Italy Finland Finland Finland Morooco Morocco 1988 1992 on average, the observations (4 points)Roughly speaking, the standard deviation indicates how far, are from the 8· mean. Do you think that for the following data set, the standard deviation will give a ion from the mean? Why or why not? good indication of the typical deviat 2, 3, 4,4,5, 5, 6, 6, 100 (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 were the parent of this student, would you be more interested in her test score or the z-score? Explain your reasoning. 9. 10. (4 points)If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HT, THH, THT, TTH, TTT. What is the probability that the first two tosses come up the same?

Explanation / Answer

Question 7:

Answer: The mode of a given dataset is that observation which has highest frequency among all the observations of the dataset.

For the given dataset, we compute the frequency of each of the observation: Finland - 7 ; Poland - 1; Chzekoslovakia - 2; USSR - 2; United States - 1; Kenya - 1; Ethiopia - 1; Italy - 1; Morocco - 2.

Therefore, "Finland" is the observation having highest frequency of 7. And hence mode is " Finland".

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