Question

Please help me from f) to v)

Need to show all your work to get full credit. No WORK, NO CREDIT For the following dada set find the followings: (Note: need to do appropriate estimations 100 pts Total) 1. d) Range (2 pts) h Coefficient of variance (5 pts) b) Median (2 pt) ) Mode (1 pt) g) Stand. Deviation (2 pt) a) Mean (5 pt) 0 Variance (8 pt) D Percentile of data value 2.5 (5 e) Mid-Range (2 pt) z-score of 2.5 (S pt) pts) k) Data value that corresponds to 65 percentile (5 pts) m) Interval that contains at least 65% of the data values. (8 pts) ) Proportion of data values that fall in 1.7 standard deviations from the mean. (5 pt n) All quartiles (8 pts) q) Construct the box plot and analyze the shape of the distribution (8 pts) P The Semi-Quartile Range. (2 pts) o) The Inter-Quartile Range. (2 pts) r) Find the boundaries of usual numbers (3 pts) 2 pts) s) If the data value 8.5 were in your sample set, would it be usual or unusual? ) Find outliers if any (Note: any answer you give must be based on computation.) (8 pts) u) Compute the variance by using range rule of thumb (7 pts) v) 25% Trimmed Mean (5 pts) 0.9, 1.1, 1.5, 1.7, 1.8, 1.8, 1.9, 2.5, 2.6, 2.9,6.8, 7.9 arranged form.

Answer 1

f) Variance :

Here n = 12

= 2.78

x	( x - x bar ) ^2
0.9	3.5344
1.1	2.8224
1.5	1.6384
1.7	1.1664
1.8	0.9604
1.8	0.9604
1.9	0.7744
2.5	0.0784
2.6	0.0324
2.9	0.0144
6.8	16.1604
7.9	26.2144
	54.3568

So,

g)

Standard deviation = s =   = 2.2229

h) Coefficient of variance

  

= 79.96 %

i) x = 2.5

Z score is given by

= -0.13