Question

In: Statistics and Probability

Each of the following three datasets represent IQ Scores for three random samples of different sizes....

Each of the following three datasets represent IQ Scores for three random samples of different sizes. The population mean is 100 population standard deviation is 15. Compute the sample mean, median and standard deviation for each sample size:

Sample Size 30 106 92 98 103 100 102 98 124 83 70 108 121 102 87 121 107 97 114 140 93 130 72 81 90 103 97 89 98 88 103

Solutions

Expert Solution

Given Sample Size = n = 30

MEAN:

MEDIAN:

To Calculate the Medain; first we have to arrange the given observations either in Ascending Order (Or) in Descending Order.

STANDARD DEVIATION (S.D):

CALCULATIONS:

*************************************************************

MEDIAN:

Arrangement of Observations in Ascending Order:

70 72 81 83 87 88 89 90 92 93 97 97 98 98 98 100 102 102 103 103 103 106 107 108 114 121 121 124 130 140

Therefore

**********************************************************************

STANDARD DEVIATION:

x
106 11236
92 8464
98 9604
103 10609
100 10000
102 10404
98 9604
124 15376
83 6889
70 4900
108 11664
121 14641
102 10404
87 7569
121 14641
107 11449
97 9409
114 12996
140 19600
93 8649
130 16900
72 5184
81 6561
90 8100
103 10609
97 9409
89 7921
98 9604
88 7744
103 10609
TOTAL 3017 310749


Related Solutions

Each of the following three datasets represent IQ Scores for three random samples of different sizes....
Each of the following three datasets represent IQ Scores for three random samples of different sizes. The population mean is 100 population standard deviation is 15. Compute the sample mean, median and standard deviation for each sample size: 10) Using the sample size of 30 above in problem eight, your child was tested and has an IQ Score of 140. Calculate Z-Scores to answer these questions: a. If your child has an IQ Score of 75, what percentage of the...
Each of the following three data sets represents the IQ scores of a random sample of...
Each of the following three data sets represents the IQ scores of a random sample of adults. IQ scores are known to have a mean and median of 100. For each data​ set, determine the sample standard deviation. Then recompute the sample standard deviation assuming that the individual whose IQ is 108 is accidentally recorded as 180. For each sample​ size, state what happens to the standard deviation. Comment on the role that the number of observations plays in resistance....
Random samples of sizes
Random samples of sizes n1 = 25 and n2 = 20 were selected from populations A and B, respectively. From the samples, the standard deviations were computed to be s1 = 5.2 and s2 = 6.8.a. Do the data provide substantial evidence to indicate the populations have different standard deviations? Use α = .05.b. Estimate the relative sizes of the standard deviations by constructing a 95% confidence interval for the ratio of the standard deviations σ1/σ2.c. The data and populations...
Exercise 3 The data in the table represent the "Exam Scores" for two random samples of...
Exercise 3 The data in the table represent the "Exam Scores" for two random samples of students. The first group of = 6 students were under active-learning course, and the second group of = 6 students were under traditional lecturing. Note that the standard deviations in the Active group is = 3.43 and in the Traditional group is = 3.03. Active learning Traditional learning 0 7 5 0 7 8 8 2 0 4 3 3 Please answer the following...
Exercise 3 The data in the table represent the "Exam Scores" for two random samples of...
Exercise 3 The data in the table represent the "Exam Scores" for two random samples of students. The first group of n1 = 6 students were under active-learning course, and the second group of n2 = 6 students were under traditional lecturing. Note that the standard deviations in the Active group is s1= 3.43 and in the Traditional group is s2 = 3.03. Active learning Traditional learning 0 7 5 0 7 8 8 2 0 4 3 3 Please...
The data below represent scores from three different therapies used to treat depressive symptoms. Scores represent...
The data below represent scores from three different therapies used to treat depressive symptoms. Scores represent depressive symptoms on a scale of 1-10, with higher scores indicating greater depressive symptoms. Treatment 1 Treatment 2 Treatment 3 0 1 4 0 4 3 G = 24 0 1 6 ΣX2 = 92 2       0        3       _______ T1 = 2 T2 = 6 T3 = 16 SS1 = 3 SS2 = 9 SS3 = 6 a.   SST is what? b.   SSW is...
If two random samples, each with n = 60 scores, are selected from a population, and...
If two random samples, each with n = 60 scores, are selected from a population, and the z-score and t statistic are computed for each sample, the t statistics will be less variable than the z-scores.
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=37,n2=44,x¯1=58.9,x¯2=74.7,s1=5.5s2=10.1 n 1 =37, x ¯ 1 =58.9, s 1 =5.5 n 2 =44, x ¯ 2 =74.7, s 2 =10.1 Find a 95.5% confidence interval for the difference μ1−μ2 μ 1 − μ 2 of the means, assuming equal population variances. Confidence Interval
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=39,n2=48,x¯1=52.5,x¯2=77.5,s1=5s2=11 Find a 97.5% confidence interval for the difference μ1−μ2 of the means, assuming equal population variances. Confidence Interval =
The following data represent the Intelligence Quotient Scores of a random sample of thirty adults. ...
The following data represent the Intelligence Quotient Scores of a random sample of thirty adults.  Construct a Stem-and-Leaf Plot AND a Five Number Summary for the measurements.  Compute the locator of the median, the median, AND the mean of the thirty measurements. Sample of Size n = 30 108 100 103 125 108 90 122 89 96 99 100 84 121 129 91 103 90 106 75 98 102 89 99 82 90 100 120 114 93 104
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT