For the following data 86 84 91 75 78 80 74 75 87 76 82 90...

For the following data

86 84 91 75 78 80 74 75 87 76 82 90 98 68

What is the mean? ______

What is the median?_________

What is the mode (if any)? _____

What is the standard deviation? ____

What is the variance? ______

What is the five-number summary for this data?

Draw a boxplot with reasonable attention to scale.

Create a stemplot of this data.

Using the same data set and ignoring the fact that the 5-number summary would change a bit, what number would be add to the lower end of this data that would be an outlier?

What number did you add? ______

How did you determine that your choice of this new value? Use correct terminology. (Hint: IQR)
If you selected one number randomly from the original data, what is the likely hood that it would be an even number or greater than 85?(Show the equation you used to find this answer or explain your thought process.)

Solutions

Expert Solution

mean = ΣX/n = 1144.000 / 14 = 81.7143

Median=0.5(n+1)th value = 7.5th value of sorted data
= 81.000

mode= highest frequency data = 75

sample variance =    Σ(X - X̄)²/(n-1)=   858.8571   /   13   =   66.066

sample std dev =   √ [ Σ(X - X̄)²/(n-1)] =   √   (858.8571/13)   =       8.1281

-------------------------

maximum = 98
minimum= 68

Median=0.5(n+1)th value =    7.5th   value of sorted data
=   81.000

quartile , Q1 = 0.25(n+1)th value=   3.75th   value of sorted data
=   75

Quartile , Q3 = 0.75(n+1)th value=   11.25th   value of sorted data
=   87.75

-------------------------------------

Frequency	Stem	Leaf
1	6	8
5	7	4 5 5 6 8
5	8	0 2 4 6 7
3	9	0 1 8
14

68 will be lowest number

thanks

revert back for doubt

please upvote

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Gas Heated Homes Central Electric Heat Pump 86 78 86 84 78 83 82 87 80...

Gas Heated Homes Central Electric Heat Pump 86 78 86 84 78 83 82 87 80 86 72 92 82 63 89 At α= .05, test to see if there is a significant difference among the average bills of all the homes (in a city) using three forms of heating. Use both the critical and p-value approaches. Be sure to include your hypotheses, critical values, results, and conclusions in the language of the problem.

Exam 1 Scores 91, 83, 75, 85, 90, 80, 67, 82, 88, 87, 95, 91, 73,...

Exam 1 Scores 91, 83, 75, 85, 90, 80, 67, 82, 88, 87, 95, 91, 73, 80, 83, 92, 94, 68, 75, 91, 79, 95, 87, 76, 91, 85, 59, 70, 69, 78 Dummy: 0, 0 What are the Hypothesis Statement? What is Ho? What is Ha? What is the P-Value? What is the Claim? What is the Decision Rule? (Hint: Do you reject or fail to reject the null hypothesis?) What is the Level of Significance? (Hint: α) What...

77 80 80 84 84 85 86 86 87 87 89 93 94 94 96 96...

77 80 80 84 84 85 86 86 87 87 89 93 94 94 96 96 97 97 97 98 99 100 100 102 102 103 104 104 104 105 105 106 106 109 110 110 115 125 127 128 An electric supplier tracks the response time to customers reported outages. The data given above is a random sample of 40 of the response time (in minutes) for one operating division of this utility during a single month. The utility...

placebo: 110, 89, 86, 87, 85, 87, 74, 85 sleeping pill: 99, 84, 94, 87, 87,...

placebo: 110, 89, 86, 87, 85, 87, 74, 85 sleeping pill: 99, 84, 94, 87, 87, 106,102, 91 given data above. patients are testing out the new sleeping pill. Subjects' rapid eye movement (REM) was measures before and after they received the sleeping pill. 1)critical t or z value? 2)reject or fail to reject the null hypothesis 3)compute 95% confidence interval around the sample mean 4) compute Cohens d and explain its meaning 5) summarize your results using the correct...

82, 72, 83, 75, 80, 78, 82, 73, 60, 79, 80, 78, 83, 81 what is...

82, 72, 83, 75, 80, 78, 82, 73, 60, 79, 80, 78, 83, 81 what is the Q1, median, Q3 and the IQR with any outliers

36, 52, 60, 60, 62, 65, 65, 65, 70, 72, 74, 75, 75, 76, 76, 78,...

36, 52, 60, 60, 62, 65, 65, 65, 70, 72, 74, 75, 75, 76, 76, 78, 79, 79, 80, 80, 82, 83, 84, 85, 88, 90, 90, 92, 95, 98, 99 Please find the upper bound of the above set:

68 56 76 75 62 81 72 69 91 84 49 75 69 59 70 53...

68 56 76 75 62 81 72 69 91 84 49 75 69 59 70 53 65 78 71 87 71 74 69 65 64 You have been charged to conduct a statistical test in SPSS to verify the claim that the‘average weekly student expenses’ is different than 74 dollars using an alpha level of 5%. What is the appropriate test that is applicable in this case. Explain your reasoning. State the null and alternate hypotheses in this case using...

Name MidtermScore FinalExamScore John 71 78 Leon 78 84 Mary 85 90 Alice 80 92 Juan...

Name MidtermScore FinalExamScore John 71 78 Leon 78 84 Mary 85 90 Alice 80 92 Juan 72 87 Abdul 81 86 Fay 79 79 Raymnd 85 89 Felix 83 87 Beth 91 95 Tasha 84 87 Emily 70 74 Doris 84 88 Xao 83 96 1. Use ggplot R coding to create a scatterplot in order to investigate if there is a linear relationship between MidtermScore and FinalExamScore. Let MidtermScore be designated x and FinalExamScore be designated y. 2. Use...

93 95 93 81 88 88 84 75 89 81 92 91 83 78 88 77...

93 95 93 81 88 88 84 75 89 81 92 91 83 78 88 77 95 94 90 94 80 84 95 87 92 92 94 84 83 89 84 87 78 99 97 79 93 83 76 92 96 77 52 89 95 76 87 92 80 70 94 90 93 83 88 89 95 87 88 96 92 87 96 93 96 81 93 76 78 96 96 84 89 91 92 87 91 90 86 88...

85 1,810 90 4,825 79 438 82 775 84 1,213 96 8,692 88 2,356 76 266...

85 1,810 90 4,825 79 438 82 775 84 1,213 96 8,692 88 2,356 76 266 93 4,930 97 9,138 89 2,714 83 1,082 85 1,290 90 3,970 82 894 91 2,906 90 4,615 84 1,168 79 462 81 1,018 95 5,950 What is multiple R, R square, & Adjusted R square? Do regression model results indicate significance, meaning the results can be accepted? Yes or No. For every 1 increase in Temperature, how much do sales increase?

Subjects