Question

In recent years many European nations have suffered from relatively high unemployment. The table below shows...

In recent years many European nations have suffered from relatively high unemployment. The table below shows the unemployment rates (%) for 8 European nations.

European unemployment rates
Austria: 4.3 England: 5.1 Denmark: 5.8 Sweden: 6.4
Italy: 8.6 Germany: 9.1 Greece: 9.7 Spain: 11.2

(a) Find and interpret the median.
median =  (Use 2 decimals)

A. Approximately 50% of the data lie within 1 standard deviation of this value.

B. Approximately 50% of the data lie below this value.

C. This value is the average of the data set.

D. Approximately 25% of the data lie below this value.



(b) Find the first quartile (Q1) and the third quartile (Q3).

Q1 = (Use 2 decimals)
Q3 = (Use 2 decimals)


(c) Find and interpret the mean.
mean =  (Use 2 decimals)

A. Approximately 50% of the data lie below this value.     

B. Approximately 25% of the data lie below this value.

C. Approximately 50% of the data lie within 1 standard deviation of this value.

D. This value is the average of the data set.

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Answer #1

Data is

4.3 5.1 5.8 6.4 8.6 9.1 9.7 11.2

a) Median is an average of middle two values.

Median = (6.4 + 8.6) / 2 = 7.5

Median = 7.5

B. Approximately 50% of the data lie below this value.​

b)

Q1 = 5.63

( Using excel =QUARTILE(Select array,1))

Q2 = 9.25

( Using excel =QUARTILE(Select array,3))

c) Mean is average of the data set values.

Mean = 60.2 / 8 = 7.53

Mean = 7.53

D. This value is the average of the data set.​

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