18 Questions
What is the formula to calculate the relative mean deviation?
Mean deviation divided by the average
How is the coefficient of mean deviation calculated?
Dividing total deviations by the number of items
For grouped data in a discrete series, what is used to represent the deviations from the average?
|D|
In discrete series for grouped data, what does 'P' represent in the formula for mean deviation?
|f|
What is the process to find standard deviation for a continuous series?
Calculate f |D| and divide by N
Which measure is calculated using deviations from the average ignoring signs?
Mean deviation
What is the correct formula to calculate Standard Deviation for Grouped data - Continuous Series?
σ = √(Σ(fd^2)/(N))
In the context of calculating Standard Deviation for Grouped data - Discrete Series, what does 'd' represent in the formula?
Difference between each value and the assumed value
For the provided data, what is the calculated Standard Deviation?
16.8
What is a common use of the Coefficient of Variation (C.V.) in statistics?
To measure the spread of a distribution
When comparing two sets of data using the Coefficient of Variation (C.V.), what does a higher C.V. indicate?
Higher relative variability
What can be inferred about the stability of prices in City A compared to City B based on the given price data?
City A has more stable prices
What is the purpose of converting standard deviation into the coefficient of variation?
To compare the variability of two or more series
For grouped data in a discrete series, how is standard deviation calculated?
$σ = \sqrt{\frac{∑fd^2}{N}}$
Which scenario does a greater coefficient of variation indicate?
More variability and less consistency
In grouped data for a continuous series, what does 'd' represent in the standard deviation formula?
Difference between x and A
What does a smaller coefficient of variation imply about a group of data?
More homogeneity and uniformity
When comparing two groups of data, if one group has a higher C.V. than the other, what does this suggest?
The group with higher C.V. is more variable
Learn how to calculate the coefficient of variation to compare the relative dispersion of data sets with different units, such as heights in centimeters and weights in kilograms. Understand the formula and its application in statistics.
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