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3 years ago

14

Ms. Kalmbach went to dinner with her family. The waitor/waitress was fantastic and she want to tip 20%. How much is the tip if t

he bill was $63.25?

1 answer:

vovikov84 [41]3 years ago

5 0

(12.65) is your total answer because 20/100 x63.25 gives you 12.65

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Answer:

a) $\bar X = 369.62$

b) $Median=175$

c) $Mode =450$

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Step-by-step explanation:

We have the following data set given:

49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000

Part a

The mean can be calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

Replacing we got:

$\bar X = 369.62$

Part b

Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:

$Median=175$

Part c

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$Mode =450$

With a frequency of 4

Part d

The midrange for this case is defined as:

$MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

Part e

For this case we can calculate the deviation given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 621.76$

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