PROBABILITY & STATISTICS
EXAM N4 – FULLY SOLVED
First-Year University Level
, Exercise 1 – Descriptive Statistics
Problem
The following data represent the number of hours studied by
10 students before an exam:
4, 6, 5, 8, 6, 7, 5, 6, 9, 4
a) Calculate the mean
b) Determine the median
c) Identify the mode
Solution
Mean:
x̄ = (4 + 6 + 5 + 8 + 6 + 7 + 5 + 6 + 9 + 4) / 10
x̄ = = 6
Median:
Ordered data:
4, 4, 5, 5, 6, 6, 6, 7, 8, 9
Median = (6 + 6) / 2 = 6
Mode:
The most frequent value is 6
Result:
Mean = 6
Median = 6
Mode = 6
EXAM N4 – FULLY SOLVED
First-Year University Level
, Exercise 1 – Descriptive Statistics
Problem
The following data represent the number of hours studied by
10 students before an exam:
4, 6, 5, 8, 6, 7, 5, 6, 9, 4
a) Calculate the mean
b) Determine the median
c) Identify the mode
Solution
Mean:
x̄ = (4 + 6 + 5 + 8 + 6 + 7 + 5 + 6 + 9 + 4) / 10
x̄ = = 6
Median:
Ordered data:
4, 4, 5, 5, 6, 6, 6, 7, 8, 9
Median = (6 + 6) / 2 = 6
Mode:
The most frequent value is 6
Result:
Mean = 6
Median = 6
Mode = 6
