While measures of central tendency are used to estimate "normal" values of a data set, measures of dispersion are important for describing the spread of the data, or its variation around a central value. Two distinct samples may have the same mean or median, but completely different levels of variability, or vice versa.
The standard deviation tells you how much, on average things vary from the mean of your population.
The range tells you the difference between the largest and smallest values.
Thus the standard deviation gives you an idea of how much every element of your population varies from the average whereas the range just tells you the maximum variation.
3.2.53 What makes the range less desirable than the standard deviation as a measure of dispersion?...
Are any of the measures of dispersion among the range, the variance, and the standard deviation, resistant? Explain. Choose the correct answer below. O A. Yes, the variance is resistant because it has squared units, so is always positive. OB. No, all of these measures of dispersion are affected by extreme values. OC. Yes, the standard deviation is resistant because it is calculated using the mean, which is resistant. OD. Yes, the range is resistant because it always includes all...
QUESTION 23 Which of the following is the most descriptive measure of spread? Median Standard deviation Range Mean QUESTION 24 Which of the following describes a measure of Spread? Range and interquartile range (IQR) Variance and Standard Deviation (std) Mean, Median and Mode More than one answer is correct QUESTION 25 Sample standard deviation s is the estimator of population standard deviation o. True False
10. Properties of the standard deviation and range Aa Aa E Which of the following is a true statement concerning the standard deviation? Check all that apply. The standard deviation provides a measure of the spread between the two most extreme scores in distribution The standard deviation is more subject to sampling variation than the range. It is more complex to compute the standard deviation than the range. A researcher is studying psychological factors in artistic achievement among teenage girls....
oose the correct interpretation of the standard deviation below. A. The standard deviation represents the sum of the deviations from the mean. B. The standard deviation represents finding the deviation for each observation, squaring each deviation, and then adding them up. C. Since the standard deviation uses the square of the units of measurement for the original data, it is not easy to interpret. D. The standard deviation represents a typical distance of an observation from the mean. Suppose the...
Ethan and Drew went on a 10-day fishing trip. The number of smallmouth bass caught and released by the two boys each day is shown in the accompanying data table. Complete parts (a) through (d) below. Click the icon to view the data table. (a) Find the population mean and the range for the number of smallmouth bass caught per day by each fisherman. Do these values indicate any differences between the two fishermen's catches per day? The range for...
According to a report the standard deviation of monticell phone is was 545 three years ago. A researcher suspects that the standard deviation of monthly cell phone bills is higher today (a) Determine the two and a native hypotheses Explain what I would mean to make a Type I (c) Explain what it would mean to make a Type llo (a) State the hypotheses He Hi (Type Images or decias Do not round) b) Explain what it would mean to...
13. Below are the range and standard deviation for a set of
data. Use the range rule of thumb and compare it to the standard
deviation listed below. Does the range rule of thumb produce an
acceptable approximation? Suppose a researcher deems the
approximation as acceptable if it has an error less than 15%.
The estimated standard deviation is
Is this an acceptableapproximation?
A:.No, because the error of the range rule of thumb's
approximation is
greater than 15%.
B.Yes, because...
number 10
Below are the range and standard deviation for a set of data. Use the range rule of thumb and compare it to the standard deviation listed below. Does the range rule of thumb produce an acceptable approximation? Suppose a researcher deems the approximation as acceptable if it has an error less than 15%. Range 2.92 Standard Deviation = 0.738 The estimated standard deviation is Round to three decimal places as needed.) Is this an acceptable approximation? A. O...
What percent of X values are within +/- one standard deviation of the mean? Less than 50% Approximately 95% Approximately 99% Approximately 68%
The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual If convenient, use technology to find the probability For a sample of n = 35, find the probability of a sample mean being less than 12 749 or greater than 12,752 when = 12,749 and 22 For the given sample, the probability of a sample mean being less than 12,749 or greater...