(b) Use the defining formula to compute the sample standard deviation s. Recall the defining formula used to compute the sample standard deviation s = (x − x)2 n − 1 where x is a member of the data set, x is the mean, and n is number of data values. Before using the formula, we must determine x and n. There are five values in the data set 1, 2, 5, 7, 9, so
n = _______.
Calculate the mean x = x/n by taking the average of the data values, which is dividing the sum of the data values by the number of data values.
x = x /n = ____
1 + 2 + 5 + 7 + 9/_______ =
____/5 =
=
n = 5 (because sample size is 5)
x = x /n = (sum of data value)/n
1 + 2 + 5 + 7 + 9/____5___ =
___24_/5 =
=4.8
So, average is 4.8
Standard deviation calculation
(b) Use the defining formula to compute the sample standard deviation s. Recall the defining formula...
Calculate the sample standard deviation for this data set: 88, 73, 91·The formula for the sample standard deviation is where n represents the sample size, x represents each value in the data set, and represents the sample mean. \(s=\sqrt{\frac{\sum(x-\bar{x})^{2}}{n-1}}\)Step 1. Calculate the sample mean.Step 2. Calculate the deviations and the squares of the deviations. Step 3. Calculate the sample variance and the sample standard deviation. Provide your sample standard deviation answer precise to one decimal place.
Calculate the sample standard deviation for this data set: 58,60, 74. The formula for the sample standard deviation is shown, where n represents the sample size, x represents each value in the data set, and x represents the sample mean.\(s=\sqrt{\frac{\sum(x-\bar{x})^{2}}{n-1}}\)Step 1. Calculate the sample mean. Step 2. Calculate the deviations and the squares of the deviations. Step 3. Calculate the sample variance and the sample standard deviation. Provide your sample standard deviation answer precise to oñe decimal place
Calculate the sample standard deviation for this data set: 11, 28, 36. The formula for the sample standard deviation is shown, where ?n represents the sample size, ?x represents each value in the data set, and ?⎯⎯⎯x¯ represents the sample mean. ?=∑(?−?⎯⎯⎯)2?−1‾‾‾‾‾‾‾‾‾‾‾‾√s=∑(x−x¯)2n−1 Step 1. Calculate the sample mean. ?⎯⎯⎯x¯ = Step 2. Calculate the deviations and the squares of the deviations. deviation of 11= square of deviation of 11= deviation of 28= square of deviation of 28= deviation of 36=...
Calculate the sample standard deviation for this data set: 88, 73, 91. The formula for the sample standard deviation is shown, where n represents the sample size, x represents each value in the data set, and x represents the sample mean. Σ(x-x)" n-1 Step 1. Calculate the sample mean. Step 2. Calculate the deviations and the squares of the deviations. deviation of 88 = square of deviation of 88- deviation of 73 - square of deviation of 73
Calculate the sample standard deviation for this data set: 58, 60, 74. The formula for the sample standard deviation is shown, where n represents the sample size, x represents each value in the data set, and X represents the sample mean. 2(x-x) n- Step 1. Calculate the sample mean. x=164 Step 2. Calculate the deviations and the squares of the deviations deviation of 58 - square of deviation of 58- deviation of 60 square of deviation of 60- deviation of...
1. A student was asked to compute the mean and standard deviation for the following sample of n= 5 scores: 81, 87, 89, 86, and 87. To simplify the arithmetic, the student first subtracted 80 points from each score to obtain a new sample consisting of 1,7,9,6, and 7. The mean and standard deviation for the new sample are then calculated to be M=6 and s = 3. What are the values of the mean and standard deviation for the...
section 9.5 A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 5% significance level x = 23, s = 6, n = 32, Ho H = 27, H.: H = 27 Click here to view a partial table of values of The test statistic ist=Q (Round to two decimal places as needed.) A sample mean, sample size, and sample standard deviation are provided below. Use...
17.Find the standard deviation, s, of sample data summarized in the frequency distribution table given below by using the formulabelow, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 9.0. Standard deviation=___ Compare the computed standard deviation to the standard deviation obtained from the original list of data values, 9.0. Consider...
When we compute a sample standard deviation of a data set, do we subtract the sample mean or the sample median from each of the data values?
Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 111 [(+•x?)]-[• x)] n(n-1) Interval 30-36 37-43 Frequency Standard deviation (Round to one decimal place as needed) 44-50 6 51-57 -3 0 58-64...