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Is range a measure of central location?
No, it isn't. Mean, median, and mode are the three most common measures of central location (although there are others). These measures of central location are attempts to find the middle value of a range.
3 Give a brief note of the measures of central tendency together with their merits and Demerits Which is the best measure of central tendency and why?
ANS: Measures of central tendency will quantify the middle of the distribution. The measures in case of population are the parameters and in case of sample, the measures are statistics that are estimates of population parameters. The three most common ways of measuring the centre of distribution is the mean, mode and median.In case of population, the measures of dispersion are used to quantify the spread of the distribution. Range, interquartile range, mean absolute deviation and standard deviation are four measures to calculate the dispersion.The measures of central tendency and measures of dispersion summarise mass data in terms of its two important features.i. With respect to nature of data to cluster around a central valueii. With respect to their spread from their central valueArithmetic mean is defined as the sum of all values divided by number of values.Median of a set of values is the middle most value when the values are arranged in the ascending order of magnitude.Mode is the value which has the highest frequencyThe measures of variations are:i. Range (R)ii. Quartile Deviations ( Q.D)iii. Mean Deviations (M.D)iv. Standard Deviations (S.D)Coefficient of variation is a relative measure expressed in percentage and is defined as:CV in %=
Which is the most accurate of mode mean median and range?
Accuracy depends on what you are trying to measure.As a measure of central tendency, the range is totally useless because it is not a measure of central tendency. As a measure of spread (dispersion), it is the most accurate because it is the only one that measures spread: the other threee are totally useless.With nominal data, the median and mean are not defined and so cannot be accurate.And so on.Accuracy depends on what you are trying to measure.As a measure of central tendency, the range is totally useless because it is not a measure of central tendency. As a measure of spread (dispersion), it is the most accurate because it is the only one that measures spread: the other threee are totally useless.With nominal data, the median and mean are not defined and so cannot be accurate.And so on.Accuracy depends on what you are trying to measure.As a measure of central tendency, the range is totally useless because it is not a measure of central tendency. As a measure of spread (dispersion), it is the most accurate because it is the only one that measures spread: the other threee are totally useless.With nominal data, the median and mean are not defined and so cannot be accurate.And so on.Accuracy depends on what you are trying to measure.As a measure of central tendency, the range is totally useless because it is not a measure of central tendency. As a measure of spread (dispersion), it is the most accurate because it is the only one that measures spread: the other threee are totally useless.With nominal data, the median and mean are not defined and so cannot be accurate.And so on.
What shapes are most stable?
Triangle
What is the difference between arithmetic mean and mode?
The mean, median, and mode are all measures of central tendency. For symmetrical distributions they all have the same value. For assymetrical distributions they have different values. The mean is the average and the mode is the most likely value.
