The definitions (and calculations) for variance and standard deviation begin with the concept of a deviation...
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.)$$ \begin{array}{lrrrr} x & -23 & -17 & -9 & -3 \\ P(x=x) & 0.50 & 0.25 & 0.15 & 0.10 \end{array} $$Mean:Variance:Standard Deviation:
A z score of 1.25 represents an observation that is a) 1.25 standard deviation below the mean. b) 0.25 standard deviations above the mean of 1. c) 1.25 standard deviations above the mean. d) both b and c Assume that your class took an exam last week and the mean and standard deviation of the exam were 85 and 5, respectively. Your instructor told you that 30 percent of the students had a score of 90 or above. You would...
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...
Calculate the sample standard deviation and sample variance for the following frequency distribution of final exam scores in a statistics class. If necessary, round to one more decimal place than the largest number of decimal places given In the data Final Exam Scores Class Frequency 51 60 6170 71-80 5 81-90 91 100 5 10
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.) x-36-26-15-4P(X=x)0.320.360.210.11MeanVarianceStandard deviation
question 4
1. A distribution has a standard deviation of a = 12 points. Find the 2-score for each of the following locations in a distribution by sketching a distribution (do not use an equation). (4 points) a. Above the mean by 4 points b. Below the mean by 6 points c. Below the mean by 18 points 2. A distribution has a standard deviation of a = 5 and u = 30. Find the score for each of the...
The average score in the final exam of a course is 65 and the standard deviation is 10. a) Give an upper bound on the probability of a student scoring more than 95? b) Suppose the scores follow a normal distribution. Compute the probability of a student scoring more than 95 and compare it to the bound obtained in a)
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.) x −31 −22 −12 −7 P(X = x) 0.53 0.27 0.13 0.07 Mean Variance Standard deviation
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.) x −28 −24 −9 −4 P(X = x) 0.42 0.30 0.20 0.08 mean= variance= standard deviation=
A normal distribution has a mean of 80 with a standard deviation of 20. What score separates the highest 40% of the distribution from the rest of the scores? A) X= 54.4 B) X= 85 C) X= 75 D) X= 105.6