alleryStart learning →A sample has mean 50 and standard deviation 10. What is its coefficient of variation?
- 20%
- 5%
- 40%
- 50%
Show answer and solution
Correct answer: A. 20%
The coefficient of variation is SD divided by mean, 10/50 = 0.2 or 20%.
CA Foundation Measures of Central Tendency and Dispersion — practice questions — page 2
Explore 69 free Measures of Central Tendency and Dispersion questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–60 of 69.
A sample has mean 50 and standard deviation 10. What is its coefficient of variation?Read the answer and worked solution →Batch A has mean 40 and SD 8. Batch B has mean 25 and SD 4. Which batch is more consistent?Read the answer and worked solution →A series has coefficient of variation 25% and mean 60. What is its standard deviation?Read the answer and worked solution →A series has standard deviation 8 and coefficient of variation 40%. What is its mean?Read the answer and worked solution →Why can the CV compare the spread of heights in cm with weights in kg?Read the answer and worked solution →A series has mean 10 and SD 2. Every value is increased by 10. The new CV is:Read the answer and worked solution →The largest value in a data set is 80 and the smallest is 20. What is the coefficient of range?Read the answer and worked solution →The first quartile is 20 and the third quartile is 60. What is the quartile deviation?Read the answer and worked solution →What is the mean deviation about the mean for 2, 4, 6, 8 and 10?Read the answer and worked solution →The root mean square deviation of a data set is smallest when taken about:Read the answer and worked solution →By Chebyshev's inequality, at least what share of any data lies within 2 SD of the mean?Read the answer and worked solution →In a normal distribution, about what share of values lies within two standard deviations of the mean?Read the answer and worked solution →Which average can describe the most common shirt colour among a shop's customers?Read the answer and worked solution →In a perfectly symmetric unimodal distribution, the mean, median and mode:Read the answer and worked solution →Which average is pulled most by one extremely large value in the data?Read the answer and worked solution →Which pair of averages stays steady when occasional false readings appear?Read the answer and worked solution →The median corresponds to which percentile?Read the answer and worked solution →The median is the same as which quartile?Read the answer and worked solution →A teacher has only letter grades A to F for students. Which average can be found?Read the answer and worked solution →For skewed data with a few extreme values, which average is usually preferred?Read the answer and worked solution →Per capita income of a country is an example of which type of average?Read the answer and worked solution →Which value could be the mean of the data 40, 52, 61 and 75?Read the answer and worked solution →Two classes of 30 students each average 55 and 65 marks. What is the mean of all 60 students?Read the answer and worked solution →The values 2, 3 and 4 occur 3, 5 and 2 times respectively. Find the mean.Read the answer and worked solution →Seven numbers have mean 12. Each is increased by 3 and then doubled. The new mean is:Read the answer and worked solution →The average of the squared deviations from the mean is called the:Read the answer and worked solution →Heights are measured in centimetres. The standard deviation of these heights is in:Read the answer and worked solution →A very small standard deviation shows that the values are:Read the answer and worked solution →Which data set has the larger standard deviation?Read the answer and worked solution →The data 90, 100 and 110 have sample SD 10. What is the coefficient of variation?Read the answer and worked solution →
Worked practice questions
Batch A has mean 40 and SD 8. Batch B has mean 25 and SD 4. Which batch is more consistent?
- Both equally
- Batch B, CV 16%
- Batch A, CV 20%
- Cannot be told
Show answer and solution
Correct answer: B. Batch B, CV 16%
CV of A is 8/40 = 20% and CV of B is 4/25 = 16%, and the lower CV means more consistency.
A series has coefficient of variation 25% and mean 60. What is its standard deviation?
- 35
- 2.4
- 15
- 25
Show answer and solution
Correct answer: C. 15
SD = CV x mean = 0.25 x 60 = 15.
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