Question

43	77	36	40	47	47	39	33
51	43	34	41	31	32	31	23
50	41	43	45	50	44	41	45
40	33	42	25	41	36	38	33
26	54	44	49	21	26	37	43
32	45	38	40	25	62	41	62
45	37	44	43	41	33	37	25
37	40	32	42	56	34	47	52
39	47	41	44	49	34	43	48
49	41	31	48

First, sort the data.

Second, build a GFDT for this table with a classwidth of 5.
(Be sure your lower class limits are multiples of the classwidth.)
Next, answer the following questions about the data set:
1. What is the first lower class limit in your GFDT (given the classwidth of 5)?
2. Express the third class as a closed interval, i.e., [a,b][a,b].
3. Give the frequency for the third class.
4. What is the (arithmetic) mean for this data (report accurate to one decimal place)?
5. Using the GFDT, what is the mode for this data set (use the appropriate definition for mode)?(take the class with the biggest frequency [40,44], and apply the following formula (Lower class limit+Upper class limit)/2
6. What is the standard deviation for this data (report accurate to two decimal places)?
7. What is the five number summary for this data set (separate numbers with a comma)?
8. What is the IQR?
9. What usual score (i.e., non-outlier) has the largest positive z-score less than z=2z=2? (Give the data value, not the z-score.)
10. Give the fences---this would suggest something other than z-scores---for the mild outliers at the maximal end of the data set; report as a closed interval, i.e., [upper mild fence, upper extreme fence].

Need help with solving this problem, please dummy it down for me I would also like to know how to solve it. Please provide answers thanks!

Answer 1

1. What is the first lower class limit in your GFDT (given the classwidth of 5)?

answer is 21
2. Express the third class as a closed interval, i.e., [a,b][a,b].

answer is [31, 35]

3. Give the frequency for the third class.

answer is 13
4. What is the (arithmetic) mean for this data (report accurate to one decimal place)?

answer is 40.8 ( used ms-excel)

answer is =(41+45)/2=435. Using the GFDT, what is the mode for this data set (use the appropriate definition for mode)?(take the class with the biggest frequency [40,44], and apply the following formula (Lower class limit+Upper class limit)/2

6. What is the standard deviation for this data (report accurate to two decimal places)?

answer is sd=9.28 ( used ms-excel, population standard deviation)
7. What is the five number summary for this data set (separate numbers with a comma)?

the five number summary are

minimum=21, Q1=34, median=41, Q3=45, maximum=77
8. What is the IQR?

answer is =IQR=Q3-Q1=45-34=11

9. What usual score (i.e., non-outlier) has the largest positive z-score less than z=2z=2? (Give the data value, not the z-score.)

answer =mean+2*sd=40.8+2*9.28=59.36
10. Give the fences---this would suggest something other than z-scores---for the mild outliers at the maximal end of the data set; report as a closed interval, i.e., [upper mild fence, upper extreme fence].

answer is Q3+1.5*IQR=45+1.5*11=61.5

following frequency distribution has been made using class width 5 for closed class interval

class interval	frequency(f)	cumulative frequency
21-25	5	5
26-30	2	7
31-35	13	20
36-40	14	34
41-45	24	58
46-50	11	69
51-55	3	72
56-60	1	73
61-65	2	75
66-70	0	75
71-75	0	75
76-80	1	76