design your own measure of variability that minimizes the effect of extreme scores and is measured...

design your own measure of variability that minimizes the effect of extreme scores and is measured in thesame units as the original data. Dwmonstrate that your measure meets the requirements, and contrast it to other measures of variability

Solutions

Expert Solution

The different measures of variability are:
1) variance: is the average squared deviation from the population mean and is mathematically given by where x_i is each value

The unit of variance is not measured in the same units as that of the original data.

2) Range: difference between the largest and smallest value. It is completely based on the extreme values.

3) Quartile Deviation: is given by the difference of third and first quartile divided by 2.

Both range and quartile deviation depend on extreme values.

Purposed measure:

Standard deviation which is the square root of variance. It minimizes the effect of extreme values and has the same unit as that of the data.

Example: Suppose diameter of 6 balls in millimeters is 4,8,8,8,9,9. then

the range is 9-4 = 5 millimeters

the quartile deviation is millimeters

The variance is 2.888 millimeter square.

and the standard deviation is 1.6997 millimeters

Thus standard deviation is the best method to compute variability as it is least affected by extreme observations and has the same unit as that of the original data

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Design your own measure of central tendency that is: a) unaffected by extreme scores b)Inappropriate for...

Design your own measure of central tendency that is: a) unaffected by extreme scores b)Inappropriate for use on nominal or ordinal data demonstrate that your measure meets these requirements and contrast it with the commonly used measures of central tendency

In your own words, what is utility? Can utility be measured? Can you measure your own...

In your own words, what is utility? Can utility be measured? Can you measure your own utility? Can someone else measure your utility? Why or why not? Can social welfare be measured by “adding up” peoples’ utilities? Why or why not? If not by using utility, how can policy makers estimate the welfare of government policies?

Explain what an extreme value is. Include in your answer (1) the effect extreme values have...

Explain what an extreme value is. Include in your answer (1) the effect extreme values have on the median, if any, and (2) the effect extreme values have on the mean, if any.

In your own words, discuss measures of variability as they are associated with frequencies. Include a...

In your own words, discuss measures of variability as they are associated with frequencies. Include a discussion of variance and standard deviation. What is the difference between the two and how can they be used to explain the same distribution.

How accident or incidents in airport to be measured? Design a schematic diagram of your intended...

How accident or incidents in airport to be measured? Design a schematic diagram of your intended airport related to the airport safety

Explain in your own words investor psychology and bandwagon effect.

Get parts for hydrogen cars and design your own car.

Design a research project that can measure the amount of underage drinking on your campus. Be...

Design a research project that can measure the amount of underage drinking on your campus. Be sure to explain: 1. How you would ask questions, 2. How you might observe behavior that can be used in you research and, 3. What records they might examine to determine underage drinking on campus.

In your own words what kind of economic effect has Obama Care had, and what effect...

In your own words what kind of economic effect has Obama Care had, and what effect will it have going forward, on the US? Think about unemployment, inflation, GDP, productivity etc., and remember to keep all discussions on a civil and Christ-like level.

Draw an operon of your own design – the funnier the better! Be sure to indicate...

Draw an operon of your own design – the funnier the better! Be sure to indicate if your operon is positively or negatively regulated, inducible or repressible. Indicate the co-repressor or inducer molecules. Remember that operons are only active in unicellular prokaryotes, so keep that in mind!

Subjects