1 point A random sample of n40 Canadians aged 18 years of ag

(1 point) A random sample of n=40 Canadians aged 18 years of age and older was taken. Each was asked the following question:

What proportion of your pay-cheque is goes towards food, clothing, and shelter/bills?

The percentages were recorded as decimals, and the data is given below along with a histogram of the sample.

0.2,0.6,0.7,0.3,0.3,0.4,0.4,0.5,0.8,0.6,0.9,0.6,0.5,0.2,0.5,0.3,0.4,0.6,0.4,0.8,0.6,0.8,0.3,0.3,0.4,0.8,0.3,0.8,0.6,0.8,0.4,0.3,0.6,0.9,0.7,0.6,0.4,0.5,0.5,0.2

(a) Complete the sentence.

The distribution of the variable ? amount of pay-cheque, in $  proportion of pay-cheque left over after food, clothing, and shelter has been covered proportion of pay-cheque devoted to food, clothing, and shelter expenses  is ? symmetrical skewed to the right skewed to the left .


(b) Find the mean of this sample, enter your answer to two decimals.

X¯¯¯=

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(c) Find the sample standard deviation, enter your answer to two decimals.

S=

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(d) Find the median of this sample, enter your answer to two decimals.

X˜=

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(e) Complete the sentence.

Interpret the median computed in part (d) , in the context of the data.

From this sample,  ? At most At least Exactly  50% of Canadians spend  ? at least 0.5 % of their pay-cheque on food, clothing, and shelter. at most 0.5 % of their pay-cheque on food, clothing, and shelter. exactly 0.5 % of their pay-cheque on food, clothing, and shelter. approximately 0.5 % of their pay-cheque on food, clothing, and shelter. approximately 50 % of their pay-cheque on food, clothing, and shelter. .

(f) Twenty-five percent of Canadians aged 18 and over have what proportion of their pay-cheque go towards food, clothing, and shelter? Enter your answer to one decimal.

x25=

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(g) What percentage of all Canadians aged 18 years of age or older who are employed will allot between 10 % and 94 % of their pay-cheques to food, clothing, and shelter? Enter your answer to two decimals.

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%

The percent given above is  ? an approximate an exact a minimum  percentage.

Solution

1)
Righ symmetric  

2)
Mean = 0.52

3)
Standard deviation = 0.204

4)
Median = 0.50