Emily is going to buy some canned drinks from a grocery store, where the mean, median and mode of the selling prices of the drinks are $6, $5.5 and $5 respectively.
(a)If all drinks are sold at a discount of 20%, find the mean, median and mode of the drinks bought.
(b)If Emily is going to buy one less can of drink and its selling price is $6, how will this affect the mean, median and mode of the selling prices of the drinks bought?Explain briefly.
statistic
2011-07-14 1:45 am
回答 (1)
2011-07-16 11:53 pm
✔ 最佳答案
a)mean = 6 x (1 - 20%) = $ 4.8median = 5.5 x (1 - 20%) = $ 4.4mode = 5 x (1 - 20%) = $ 4b)Mean : No effect since the old mean is $ 6.
Median : Uncertain. ( Remain unchange or decrease.)Example 1 : (Decrease)10 , 6.5 , 6 , 5.5 , 5 , 5 , 4
Buy one less can ($6) becomes :
10 , 6.5 , 5.5 , 5 , 5 , 4
The median changes to (5.5 + 5)/2 = $5.25 is less than $5.5Example 2 : (Remain unchange) 10 , 6.5 , 6.5 , 6 , 5.5 , 5.5 , 5 , 5 , 5 , 5
Buy one less can ($6) becomes :
10 , 6.5 , 6.5 , 5.5 , 5.5 , 5 , 5 , 5 , 5
The median = $ 5.5 remain unchange.The median is impossible to increase since $6 > the old median = $5.5
Mode : Remain unchange since the number of it have no decrease.
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