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They may be used-with considerable caution-when the measurements in the various populations being compared were made in different units. Dividing the dispersion estimates by the location estimates eliminates eliminates the differences attributable to differences in measuring units. However, caution is advised because the measurement methods may have differed in the various populations, giving rise to differences in the dispersion estimates having nothing to do with dispersion in the populations. In other words, there could well be differing levels of measurement error across populations.
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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 %=
Is sigma square equal to variance?
Yes, sigma squared (σ²) represents the variance of a population in statistics. Variance measures the dispersion of a set of values around their mean, and it is calculated as the average of the squared differences from the mean. In summary, σ² is simply the symbol used to denote variance in statistical formulas.
What measures English measurements?
First: there is no such thing as English measurement.Second: Imperial measures are used for measuring things; nothing measures them!
What part of a graph or chart is used to compare relative parts of a whole?
A pier chart is used to compare relative parts of a whole.
What is absolute error formula?
Absolute and Relative Error Absolute and relative error are two types of error with which every experimental scientist should be familiar. The differences are important. Absolute Error: Absolute error is the amount of physical error in a measurement, period. Let's say a meter stick is used to measure a given distance. The error is rather hastily made, but it is good to ±1mm. This is the absolute error of the measurement. That is, absolute error = ±1mm (0.001m). In terms common to Error Propagation absolute error = Δx where x is any variable. Relative Error: Relative error gives an indication of how good a measurement is relative to the size of the thing being measured. Let's say that two students measure two objects with a meter stick. One student measures the height of a room and gets a value of 3.215 meters ±1mm (0.001m). Another student measures the height of a small cylinder and measures 0.075 meters ±1mm (0.001m). Clearly, the overall accuracy of the ceiling height is much better than that of the 7.5 cm cylinder. The comparative accuracy of these measurements can be determined by looking at their relative errors. relative error = absolute error value of thing measured or in terms common to Error Propagation relative error = Δx x where x is any variable. Now, in our example, relative errorceiling height = 0.001m 3.125m •100 = 0.0003% relativeerrorcylinder height = 0.001m 0.075m •100 = 0.01% Clearly, the relative error in the ceiling height is considerably smaller than the relative error in the cylinder height even though the amount of absolute error is the same in each case.
What is the term used to describe the spread of values of a variable?
The term used to describe the spread of values of a variable is "dispersion." Dispersion indicates how much the values in a dataset differ from the average or mean value. Common measures of dispersion include range, variance, and standard deviation, which provide insights into the variability and distribution of the data.
Is it possible to switch an already existing website to another address?
Yes; if relative links have been used, this should be fairly easy.Yes; if relative links have been used, this should be fairly easy.Yes; if relative links have been used, this should be fairly easy.Yes; if relative links have been used, this should be fairly easy.
What is the instument used to find relative humidity?
A hygrometer is used to find relative humidity. It measures the amount of water vapor in the air compared to the maximum amount of water vapor the air can hold at a certain temperature.
Why are the measures of dispersion necessary to describe a set of data?
Sets of data have many characteristics. The central location (mean, median) is one measure. But you can have different data sets with the same mean. So a measure of dispersion is used to determine whether there is a little or a lot of variability within the set. Sometimes it is necessary to look at higher order measures like the skewness, kurtosis.
What are measures of dispersion in healthcare?
It's a statistical tool used in psychology. A simple way of calculating the measure of dispersion is to calculate the range. The range is the difference between the smallest and largest value in a set of scores. This is a fairly crude measure of dispersion as any one high or low scale can distort the data. A more sophisticated measure of dispersion is the standard deviation which tells you how much on average scores differ from the mean.
What are the uses of a psychrometer?
A psychrometer is used to measure the relative humidity of the air by comparing the readings of a dry bulb thermometer and a wet bulb thermometer. This information is important for various applications such as weather forecasting, agriculture, HVAC systems, and climate research.
What measure of dispersion is used with bimodal distribution?
Central tendency is used with bidmodal distribution. This measure if dispersion is similar to the median of a set of data.?æ
What is the difference between a hydrometer a hygrometer and a thermometer?
A hydrometer measures the specific gravity or density of a liquid, such as in testing the alcohol content of a solution. A hygrometer measures the relative humidity in the air. A thermometer measures temperature.
Balance scale is used to measure what?
The mass of an object or objectsA balance scale measures weight, but not in pounds or ounces, it measures in grams.A balance scale measures relative weight, weight relative to another object rather than definite weight.
What are the dispersion agents?
Dispersion agents are substances used to prevent clumping or settling of particles in a suspension. They work by reducing the attractive forces between particles and promoting uniform distribution in the dispersion medium. Common dispersion agents include surfactants, polymers, and electrolytes.
What is relative acceleration?
Relative acceleration refers to the difference in acceleration between two objects that are in motion relative to each other. It measures how their acceleration vectors are changing with respect to each other as they move. This concept is often used in the study of dynamics and motion in physics.
Which measures of central tendency should be used to calculate the cutoff time for the final race?
well...the measures of the central tendency would be 30 minutes
