CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data
In a frequency table with classes 10-20, 20-30, 30-40, 40-50 and 50-60, the cumulative frequencies (less than type) at the upper limits are 5, 17, 38, 56 and 60 respectively. The frequency of the class 30-40 and the number of observations with value 40 or more are respectively:
The class 30-40 has frequency 21 and 22 observations are 40 or more. The class frequency is the difference of successive cumulative figures, 38 minus 17. Observations of 40 or more are the total 60 less those below 40, which is 38, giving 22.
- A21 and 22Correct
- B21 and 4
- C38 and 22
- D22 and 21
Explanation
Frequency of 30-40 = 38 - 17 = 21. Observations below 40 number 38, so 40 or more is 60 - 38 = 22. Option with 38 confuses cumulative with simple frequency; 4 uses 60-56.
Did you get it right without looking?
One question tells you little. A timed set on Statistical Representation of Data shows your real accuracy, how long you take and where you lose marks.
More Statistical Representation of Data questions
- The following frequency distribution shows the daily wages (in ₹) of 60 workers at a factory in Coimbatore: 200-300: 8; 300-400: 14; 400-500…
- A histogram is drawn for monthly electricity bills of households in Pune. The class 200-300 has frequency 30 and a bar of height 30 units. T…
- In a survey of 200 employees of a Pune firm, 120 are male. Of the males, 45 are graduates, and of the females, 50 are graduates. Using a two…
- A frequency table uses the inclusive classes 15-19, 20-24, 25-29, 30-34. What are the true (exclusive) class boundaries of the class 25-29?
- The marks of 60 students are grouped into classes 10-20, 20-30, 30-40, 40-50 and 50-60. The highest mark is 58 and the lowest mark is 12. Us…
- The frequency distribution of daily wages (in rupees) of 100 workers at a Coimbatore mill is: 200-300: 12; 300-400: 28; 400-500: 35; 500-600…