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### Statistics

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# Statistics

By | November 2012
Page 1 of 3
Exam Problems

1) 7; 0; 12; 5; 18; 10; 6; 9.

a) Mean, Median, Mode
b) Find out σ², σ, coefficient of variation.
c) Interpret the result

2) Distribution of students according to the amount of rent they pay

|Rent |No. of Students | |100-200 |2 | |200-300 |7 | |300-400 |11 | |400-500 |15 | |500-600 |10 | |600-700 |3 |

Total: 50

a) display the distribution (histogram)
b) Determine mean, median and mode
c) Determine coefficient of variation
d) Determine coefficient of skewness
e) Determine the proportion of students who pay a rent higher than 300 euro and of those paying less than 500 from the total number of students (50 students) f) Interpret the results

3) Consider the following data:

|ITEM | QUANTITY (q) | PRICE (p) | | |Q0 |Q1 |P0 |P1 | |A |100 |160 |10 |12 | |B |20 |22 |2 |5 |

a) Determine individual index numbers for value, quantity and price b) Determine group value index numbers
c) Determine group price index numbers, both Laspeyres and Paasche d) Determine group quantity index numbers, both Laspeyres and Paasche e)...

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