Which one of the tools of dispersion seems to be the best one to use between the range, variance and standard deviation? What is the benefit of know how spaced the scores are in an analysis?
OUT of the mentioned three tools of dispersion RANGE is the worst performer can will tell us the least about the spacing of the data as RANGE IS MAXIMUM VALUE - MINIMUM VALUE
SO EVEN IF WE CHANGE THE MIDDLE VALUE BY KEEPING EXTREME VALUES SAME RANGE DOES NOT CHANGES SO RANGE IS THE WORST.
NOW OUT OF VARIANCE AND STANDARD DEVIATION
STANDARD DEVIATION IS THE BETTER ONE IN THE CONTEXT OF THE PROBLEM ASKED
so STANDARD DEVIATION (S.D) IS THE BEST OUT OF ALL THREE
IT IS DUE TO THE FACT THAT S.D IS OF THE SAME ORDER AS OUR OBSERVATIONS ARE BUT VARIANCE IS OF SQUARE ORDER
MEANING IF WE MULTIPLY EACH OBSERVATION BY 2
THEN TECHNICALLY spacing between the observation only changes by a factor of 2 but variance changes by a factor of 2^2 that is 4.
THE BENEFIT OF KNOWING HOW SPACED THE SCORES ARE ..
helps us to know the distribution of the scores (or how they diverse they are) that will help us in many analytical problems like
ESTIMATION , PREDICTION, OUTLIER DETECTION AND many more.
_________________________________
Which one of the tools of dispersion seems to be the best one to use between...
Which one of the tools of dispersion seems to be the best one to use between the range, variance and standard deviation? What is the benefit of know how spaced the scores are in an analysis?
Which one of the tools of dispersion seems to be the best one to use between the range, variance and standard deviation? What is the benefit of know how spaced the scores are in an analysis?
Which one of the tools of dispersion seems to be the best one to use between the range, variance and standard deviation? What is the benefit of know how spaced the scores are in an analysis?
Which one of the tools of dispersion seems to be the best one to use between the range, variance and standard deviation? What is the benefit of know how spaced the scores are in an analysis?
Measures of dispersion, problem 1 Aa Aa The manager of a men's store observes the waist size (in inches) of trousers sold yesterday: 32, 32, 33, 40, 32, 48, 34, 33, 30, 28 Calculate the range, variance, and standard deviation of these data. Select the answers equal to or closest to your results. Range = 20 Variance33.07 Standard deviation 5.75 What percentage of the observations are within 1, 2 and 3 standard deviations of the mean? within ±1 standard deviation...
3.2.53 What makes the range less desirable than the standard deviation as a measure of dispersion? Choose the correct answer below. O A. The range is resistant to extreme values. OB. The range does not use all the observations. O C. The range is biased. OD. The range describes how far, on average, each observation is from the mean.
Arguments are tools. What is one major difference between arguments (viewed as tools) and other tools such as hand-held media devices, computers, laptops, automobiles, light-switches, toaster-ovens, plasma TVs, etc.? (Hint: do you have to understand how your Sony plasma works in order to use it?)
The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a "flipped" classroom. Complete parts (a) through (c) below. Traditional 70.8 68.8 79.4 66.9 85.9 77.1 55.6 80.6 81.5 70.9 64.0 69.6 59.5 Flipped 75.5 72.0 63.1 73.4 76.9 92.8 78.0 75.9 81.1 69.6 91.8 78.9 75.9 (a) Which course has more dispersion in exam scores using the range as the measure of dispersion? The traditional course has a range of...
10. In an independent-samples t test, the ________ is used rather than the ________. Select one: A. standard deviation; pooled variance B. variance; pooled variance C. pooled variance; standard deviation D. standard deviation; variance 11. Dr. Jameson wanted to know if IQ scores differed between male and female participants in his study. He gave 28 participants an IQ test and then compared IQ scores for gender differences. He hypothesized that there would be a statistically significant gender difference in IQ...
A cellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one particular customer for the past 20 months. Use the given data to answer parts (a) and (b). $$ \begin{array}{lllll} 328 & 346 & 371 & 455 & 325 \\ \hline 417 & 451 & 498 & 344 & 320 \\ \hline 476 & 549 & 438 & 462 & 353 \\ \hline 545 & 432 & 460 & 552 & 478...