CA Foundation · Quantitative Aptitude · Statistical Description of Data
The daily wages (in ₹) of 80 workers at a Surat textile unit are grouped as follows: 300–400: 10; 400–500: 22; 500–600: 28; 600–700: 14; 700–800: 6. What is the relative frequency, in percentage, of workers earning ₹600 or more?
The relative frequency is 25 percent. Workers earning ₹600 or more number 14 plus 6, which is 20, and dividing by the total of 80 gives 0.25. The 75 percent option is the share earning less than ₹600, the complement.
- A14%
- B25%Correct
- C20%
- D75%
Explanation
Workers earning 600 or more are in classes 600–700 and 700–800: 14 + 6 = 20. Relative frequency = 20/80 = 0.25 = 25%. The option 20% wrongly uses 20 as a percentage, and 75% is the share earning below ₹600.
Did you get it right without looking?
One question tells you little. A timed set on Statistical Description of Data shows your real accuracy, how long you take and where you lose marks.
More Statistical Description of Data questions
- A histogram is drawn for a continuous frequency distribution with unequal class widths. To make the heights of the rectangles correctly repr…
- The daily sales (in units) of a Surat textile shop are grouped as: 0–20: 6 days, 20–40: 10 days, 40–60: 14 days, 60–80: 8 days, 80–100: 2 da…
- A distribution of 100 observations has class intervals 0–20, 20–40, 40–60, 60–80, 80–100. The relative frequencies are 0.10, 0.25, 0.30, 0.2…
- A company in Surat wants quick opinions from customers about a new product. It sends a questionnaire by post, and customers fill it in and m…
- A researcher wants to show how the total monthly expenditure of a company is divided among five heads such as salaries, rent and marketing, …
- Which of the following is an example of a discrete variable?