2.69 a, c 2 1 1 1 1 3 2 6 1 1 2 1 1...

2.69 a, c

2	1	1	1
1	3	2	6
1	1	2	1
1	3	2	1
1	2	1	3
4	3	2	5
4	2	2	2
1	1

Refer to the data set above, with 30 values.

Find the range, variance, and standard deviation of this data set.

Eliminate the smallest and largest value from the data set and repeat part a. What effect does dropping both of these measurements have on the measures of variation found in part a.?

Expert Solution

1)

	Xi	(Xi-Xbar)^2
	2	0.0000
	1	1.0000
	1	1.0000
	1	1.0000
	1	1.0000
	4	4.0000
	4	4.0000
	1	1.0000
	1	1.0000
	3	1.0000
	1	1.0000
	3	1.0000
	2	0.0000
	3	1.0000
	2	0.0000
	1	1.0000
	1	1.0000
	2	0.0000
	2	0.0000
	2	0.0000
	1	1.0000
	2	0.0000
	2	0.0000
	1	1.0000
	6	16.0000
	1	1.0000
	1	1.0000
	3	1.0000
	5	9.0000
	2	0.0000
sum	60.0	50.0000
sum/n	2
sum/(n-1)		1.7241

mean = sum(Xi)/n = 2.00

VARIANCE = sum(Xi-Xbar)^2/(n-1) = 1.7241

Sd = sqrt { (Xi-Xbar)^2/(n-1) }
sqrt(1.72414) = 1.31

range = max - min = 6-1 = 5

2) if the minimum and maximum values are dropped, the mean will be affected as it considers each observation in the data. the variance and standard deviation will be also be affected. the range is the difference between the maximun and minimum value, hence it will also be affected.

	Xi	(Xi-Xbar)^2
	2	0.0115

	1	0.7972
	1	0.7972
	1	0.7972
	4	4.4401
	4	4.4401
	1	0.7972
	1	0.7972
	3	1.2258
	1	0.7972
	3	1.2258
	2	0.0115
	3	1.2258
	2	0.0115
	1	0.7972
	1	0.7972
	2	0.0115
	2	0.0115
	2	0.0115
	1	0.7972
	2	0.0115
	2	0.0115
	1	0.7972

	1	0.7972
	1	0.7972
	3	1.2258
	5	9.6543
	2	0.0115
sum	53.0	33.0957
sum/n	1.892857
sum/(n-1)		1.2258

mean = sum(Xi)/n = 1.89
VARIANCE = sum(Xi-Xbar)^2/(n-1) = 1.2258

Sd = sqrt { (Xi-Xbar)^2/(n-1) }
sqrt(1.22576530612245)
1.11

range = max - min = 5-1 = 4

orchestra answered 2 years ago

Data: Student ID Final GPA Annual Salary ($1000) 1 3.36 78 2 2.62 71 3 2.69...

Data: Student ID Final GPA Annual Salary ($1000) 1 3.36 78 2 2.62 71 3 2.69 71 4 3.18 78 5 3.02 77 6 2.88 76 7 3.04 77 8 2.47 67 9 3.4 78 10 2.61 69 11 3.75 86 12 2.92 76 13 3.02 77 14 2.66 72 15 3.3 81 16 3.15 78 17 3.05 103 18 3.06 78 19 3.57 80 20 2.32 64 21 2.73 73 22 2.71 69 23 2.19 65 24 2.86 73...

Let C be the following matrix: C=( 1 2 3 -2 0 1 1 -2 -1...

Let C be the following matrix: C=( 1 2 3 -2 0 1 1 -2 -1 3 2 -8 -1 -2 -3 2 ) Give a basis for the row space of Cin the format [1,2,3],[3,4,5], for example.

exampleInput.txt 1 2 3 0 2 3 4 0 1 3 5 0 1 2 6...

exampleInput.txt 1 2 3 0 2 3 4 0 1 3 5 0 1 2 6 1 5 6 8 2 4 6 7 3 4 5 9 10 5 8 9 4 7 9 6 7 8 6 How can I detect when 'cin' starts reading from a new line. The amount of numbers in each row is unknown. I need them in type 'int' to use the data.

1. Evaluate: (a+b)/(c-d) + 9/(a+d) when a=5, b=3, c=8, d=4 a. 6 b. 3 c. 15/2...

1. Evaluate: (a+b)/(c-d) + 9/(a+d) when a=5, b=3, c=8, d=4 a. 6 b. 3 c. 15/2 d. 17/13 2. Solve for x: 5(x+3) = 35 a. 2 b. 7 c. 4 d. -4 3. Acid rain occurs primarily as a result of a. operating a nuclear power plant b. burning coal or oil containing sulfur c. by-products created by operating an oil refinery d. the use of Freon and other refrigerants 4. The "ozone holes" at the polar region arise...

tens Units 1 5 2 3 4 8 5 2 5 6 9 6 1 3...

tens Units 1 5 2 3 4 8 5 2 5 6 9 6 1 3 5 4 7 9 7 0 0 4 5 6 9 9 8 1 3 5 6 8 9 9 0 1 2 3 5 9 The table represent a random sample of 31 test scores taken from a large lecture class. Find the following [round to 2 decimal points X. XX] a) [2 pts] Find the 5 number summary [L, Q1, Q2, Q3,...

ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5...

ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5 8 7 6 5 7 7 6 7 8 8 8 9 7 8 10 12 11 Test the significance of the correlation coefficient. Then use math test scores (X) to predict physics test scores (Y). Do the following: Create a scatterplot of X and Y. Write the regression equation and interpret the regression coefficients (i.e., intercept and slope). Predict the physics score for each....

2. Consider functions f : {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4,...

2. Consider functions f : {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (a) How many of these functions are strictly increasing (i.e. f(1) < f(2) < f(3) < f(4) < f(5) < f(6))? Hint: How many different possibilities are there for the range of f? For each range of f, how many strictly increasing functions are there? (b) How many of these functions are non-decreasing (i.e. f(1) ≤ f(2) ≤...

Let x3 be the following vector: x3 <- c(0, 1, 1, 2, 2, 2, 3, 3,...

Let x3 be the following vector: x3 <- c(0, 1, 1, 2, 2, 2, 3, 3, 4) Imagine what a histogram of x3 would look like. Assume that the histogram has a bin width of 1. How many bars will the histogram have? Where will they appear? How high will each be? When you are done, plot a histogram of x3 with bin width = 1, and see if you are right. I need code help R programming

Hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C,...

Hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. How many hexadecimal strings of length twelve have five A’s and five B’s? How many hexadecimal strings of length twelve have at most three E’s? How many hexadecimal strings of length twelve have exactly three A’s and at least two B’s? How many hexadecimal strings of length twelve have exactly two A’s and exactly two B’s, so that the two...

1, 1, 1, 1, 1, 3, 3, 3, 3, 6, 6, 6, 7, 7, 7, 12,...

1, 1, 1, 1, 1, 3, 3, 3, 3, 6, 6, 6, 7, 7, 7, 12, 12, 13, 17 1) Use three arguments to explain the character of the shape of the distribution. 2) Determine the presence of outliers in either bound of the distribution by the Fences Criterion. 3) Determine the presence of outliers in either bound using the Z-scores criterion. 4) Summarize data in general.

Question