If the range of a data set is 18, estimate the standard deviation of the data.

Expert Solution

Compute the standard deviation by using the range rule of thumb.

The estimated standard deviation is,

s ≈ Range(R)/4 …… (1)

Substitute 18 for R in Equation (1).

Therefore,

s ≈ 18/4

≈ 4.5

Thus, the value of standard deviation is approximately 4.5.

Nabeel answered 1 year ago

Given the data set below, calculate the range, mean, variance, and standard deviation

Given the data set below, calculate the range, mean, variance, and standard deviation. 19, 33, 8, 29, 18, 5, 10, 14, 25 Range = Mean = Variance = Standard deviation =

Please find the range, sample standard deviation and inter-quartile range (IQR) of the following data set...

Please find the range, sample standard deviation and inter-quartile range (IQR) of the following data set using TI-84. 34 41 44 46 46 50 54 69 80 96 range = _____ (Please enter an exact answer.) standard deviation (ss) = _______ (Please show your answer to one decimal place.) Inter-Quartile-Range (IQR) = ________ (Please enter an exact answer.) A new number, 112, is added to the data set above. Please find the new range, sample standard deviation and IQR of...

Calculate the range, population variance, and population standard deviation for the following data set. If necessary,...

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 16,20,13,5,13,11,7,15,6,11

the mean of the data set: 37634.3 the standard deviation of the data set: 10967.85287 the...

the mean of the data set: 37634.3 the standard deviation of the data set: 10967.85287 the sample size of the data set: 50 Using the numbers above calculate the following Show your step-by-step work for each question: Determine the 90% confidence interval, assuming that sigma is unknown, list each in proper (lower bound, upper bound) notation. Make a confidence statement. Determine the 95% confidence interval, assuming that sigma is unknown, list each in proper (lower bound, upper bound) notation. Make...

Given the data set below, calculate the standard deviation standard deviation using the defining formula standard...

Given the data set below, calculate the standard deviation standard deviation using the defining formula standard deviation using the computing formula 8,41,24,19,15,12,47,12,33

Find the range, variance, and standard deviation for the given sample data, if possible. If the...

Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be obtained for these values, do the results make sense? Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1=smooth-yellow, 2=smooth-green, 3=wrinkled yellow, and 4=wrinkled-green. 2 1 3 2 3 1 4 3 2 2 2 3 2 2 2 2 1 2...

Compute the mean, range, and standard deviation for the data items in each of the three...

Compute the mean, range, and standard deviation for the data items in each of the three samples. Then describe one way in which the samples are alike and one way in which they are different. Sample A: 6, 14, 22, 30, 38, 46, 54 Mean ? Range ? Standard Deviation ? Sample B: 6, 10, 14, 30, 46, 50, 54 Mean ? Range ? Standard Deviation ? Sample C: 6, 6, 6, 30, 54, 54, 54 Mean ? Range ?...

If data set A has a larger standard deviation than data set B, what would be...

If data set A has a larger standard deviation than data set B, what would be different about their distributions?

A set of data is normally distributed with a mean of 37 and a standard deviation...

A set of data is normally distributed with a mean of 37 and a standard deviation of 1.5. If you randomly select a data point and it is 37.75, which of the following would describe that data point? Unusually large (Statistically significant) Unusually small (Statistically significant) Not unusual (Not statistically significant) Not enough information

Find the standard deviation for a set of data that has a mean of 100 and...

Find the standard deviation for a set of data that has a mean of 100 and 95% of the data falls between 70 and 130. ** Please show me the procedure, thanks!!!

Question