Question 1 • 2024
4 Marks
The median of a distribution of 60 observations is 28.5. Find x and y : \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Class} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 & 50-60 \\ \hline f & 5 & x & 20 & 15 & y & 5 \\ \hline \end{array}
Answer: x = 8, \quad y = 7
Question 2 • 2023
3 Marks
The following data gives the information on the observed lifetimes (in hours) of 225 electrical components. Determine the modal lifetimes of the components: \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Lifetimes (hours)} & 0-20 & 20-40 & 40-60 & 60-80 & 80-100 & 100-120 \\ \hline \text{Frequency} & 10 & 35 & 52 & 61 & 38 & 29 \\ \hline \end{array}
Answer: \text{Mode} = 65.625\text{ hours}
Question 3 • 2023
4 Marks
The median of the following data is 525. Find the values of x and y , if the total frequency is 100: Class Interval: 0-100, 100-200, 200-300, 300-400, 400-500, 500-600, 600-700, 700-800, 800-900, 900-1000 Frequency: 2, 5, x, 12, 17, 20, y, 9, 7, 4
Answer: x = 9, \quad y = 15