CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion
The number of mobile phones sold daily by a Jaipur retailer over 10 days was: 5, 7, 8, 7, 9, 7, 6, 8, 10, 8. Which statement about the mode of this data is correct?
The data is bimodal with modes 7 and 8. Both values occur three times, which is the highest frequency, while every other value occurs once. The mode is the most frequent value, so when two values tie, both are modes and no averaging is done.
- AThe data is bimodal with modes 7 and 8Correct
- BThe data has a single mode, 7
- CThe data has a single mode, 8
- DThe mode is 7.5, the average of 7 and 8
Explanation
Counting frequencies: 5 appears once, 6 once, 7 three times, 8 three times, 9 once, 10 once. The highest frequency is 3 and it is shared by 7 and 8, so the data is bimodal. Taking 7.5 is wrong because the mode is not the average of two modal values.
Did you get it right without looking?
One question tells you little. A timed set on Measures of Central Tendency and Dispersion shows your real accuracy, how long you take and where you lose marks.
More Measures of Central Tendency and Dispersion questions
- For a variable x, the mean is 50 and the standard deviation is 8. A new variable y is defined as y = 5 − 3x. What is the variance of y?
- A variable x has mean 20 and standard deviation 4. A new variable is defined as y = 3x − 5. The mean and standard deviation of y are respect…
- For the following grouped data on monthly electricity bills (₹) of 60 households, find the mode using the interpolation formula. Class 0-200…
- The marks of 10 students have a range of 40 and the smallest mark is 20. If every mark is increased by 10% and then 5 marks are added, what …
- In a distribution of 60 observations, the median class is 20-30 with frequency 18, and the cumulative frequency of the class preceding it is…
- A dataset has values: 12, 18, 16, 14, 20, 16, 22. What is the median of this dataset?