Solution for QID #76398: Question: Seven samples were obtained having the values 21, | StudyHelpMe

Question: Seven samples were obtained having the values 21, 22, 26, 29, 27, 26 and 24. The mean and standard deviation values are ____________?   First: Find the Mean of the samples obtained: Add the numbers to find their sum 21+22+26+29+27+26+24= 175 How many numbers where there. n=7 Divide the sum of the numbers by the sample size 'n' 175 / 7 = 25 Therefore, the mean of these numbers is 25.   Second: Find the Standard Deviation: The formula for standard deviation (SD) is                 where: ∑ means “sum of “                                         x is the value in the data                         μ is the mean of the data                         N is the number of data points in the population   Find the Mean. The mean of the data is given and solve above: Μean (μ) = 25 For each data point, find the square of its distance to the mean.         (21-25) ^2 = 16 (22-25) ^2 = 9 (26-25) ^2 = 1 (29-25) ^2 = 16 (27-25) ^2 = 4 (26-25) ^2 = 1 (24-25) ^2 = 1   Sum the values from Step b.   16+9+1+16+4+1+1 = 48   Divide by the number of data points.       N=7   48 / 7 = 68.85714   Take the square root. SD = √68.85714 SD = 2.61861   Therefore, the standard deviation is 2.61861.