|MEAN, MEDIAN, MODE EXERCISES|
1/ For some strange reason, the grade 9 class at LCC decided to have
an egg eating contest to raise money for a school project.
The rules stated that each sponsor had to pay 10 cents for each egg eaten
after the first 5 eggs (they figured anyone can eat 5 eggs.)
The table shows the results of the competition:
|Egg eater||number eaten||# of sponsors|
|a) the mean number of eggs eaten||b) the mean number of sponsors|
|c) the median number of eggs eaten||d) the median number of sponsors|
|e) the mode number of eggs eaten||f) the mode number of sponsors|
|g) amount raised by each student||h) the total money raised|
|i) the mean amount of money raised||j) the median of the money raised|
|k) the mode value of money raised|
|l) the range of:||eggs eaten||# of sponsors||money raised|
2/ A group of 40 people went on an apple picking outing. At the end of the day,
they tabulated the number of baskets of apples picked:
|# of baskets picked||frequency|
a) Find the median # of baskets.
b) Find the mean # of baskets.
c) What is the mode of this distribution?
d) What is the range of this distribution?
3/ After a marathon in Toronto in which 50 people participated,
the following data was presented to the media:
|[ 0, 10 [||5|
|[ 10, 20 [||5|
|[ 20, 30 [||21|
|[ 30, 40 [||14|
|[ 40, 50 [||5|
a) Find the estimated mean distance run.
b) What is the modal class of this data?
c) In which class do we find the median value?
4/ Where (in what position 5th? 7th? etc.) is the median in a distribution with:
|a) 27data items||b) 32 data items||c) 107 data items||d) 350 data items|
|a) mean number of eggs eaten = 19.3||b) the mean number of sponsors = 4.3|
|c) the median number of eggs eaten = 22||d) the median number of sponsors = 3|
|e) the mode number of eggs eaten = 22||f) the mode number of sponsors = 3|
|g) amount raised by each student (see table below)||h) the total money raised = $62.50|
|i) the mean amount of money raised = $6.94||j) the median of the money raised = $5.10|
|k) the mode value of money raised = $5.10|
|l) the range of:||eggs eaten = 22||# of sponsors = 7||money raised = $16.90|
|Egg eater||money raised|
|a) median = 3||b) mean = 2.9 baskets||c) mode = 3||d) range = 11|
3) (data in classes)
|a) estimated mean = 26.8 km||b) modal class = [20, 30[||c) median class = [20, 30[|
|a) 14th data value||b) between 16th & 17th||c) 54th data value||d) mean of 175th & 176th|
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