Question

The table shows the number of silver medals USA earned at recent Summer Olympic games. USA Silver Medals Summer Olympic Games Year Medals 2000 24 1996 32 1992 34 1988 31 1984 61 1980 0 1976 35 1972 31 Select all the correct statements about the data.

Answer 1

Determine the mean number of silver medals earned from 1972 to 2000.

`\begin{gathered} \text{Mean}=(24+32+34+31+61+0+35+31)/(8) \\ =(248)/(8) \\ =31 \end{gathered}`

The mean number of silver medal is equal to 31. So first statement is false.

If entry of 1980 is removed then sum remain same as 0 medal earned in year 1980, but number of years decreased to 7. So numerator is 238 and denominator is 7, means mean value is increased and second statament is false.

As mean value is 31, if in next year number of medal earned is more than 31 than new mean is increased, as number of earned medal is more than mean value, 31. So statement is true.

If USA earned 2 more medal in year 1988, then sum increases by 2 and mean increases by 2/8 not by 2. So statement is false.

Determine the mean for number of medal earned in year from 1988 to 2000.