A local hospital collects monthly data on the number of infections after surgeries. These data are...

A local hospital collects monthly data on the number of infections after surgeries. These data are shown below:

208	225	202	236	220	244	247	245	250	227
234	227	213	212	183	182	242	230	187	252
201	226	222	212	219	223	191	222	231	239
217	241	220	278	255	225	208	225	227	202

A. Calculate the sample average

B. Calculate the sample standard deviation

C. Construct a stem-and-leaf plot for these data.

D. Construct a frequency distribution and histogram for these data (Please, use Microsoft Excel or Minitab. Copy & Paste – NO HAND DRAWING)

a. Determine the sample median

b. Determine the sample mode

c. Determine the lower and upper quartiles.

d. Determine the Interquartile Range

e. Determine the range

f. State the data required for the construction of a box plot for these data.

Solutions

Expert Solution

Basic Statistics values :

Count	40
Minimum	182
Maximum	278
Sum	8960
Mean	224
Median	225
Mode	225
Standard Deviation	20.57
Variance	423.18

Frequency Distribution Table
Class	frequency	Percentage
180 - 199	4	10
200 - 219	10	25
220 - 239	17	42.5
240 - 259	8	20
260 - 279	1	2.5

Total	40	100

To draw histogram, we first prepare the frequency distribution with boundary points, with central value of each class

Class	Lower	Upper	Frequency f
180 - 199	179.5	199.5	4
200 - 219	199.5	219.5	10
220 - 239	219.5	239.5	17
240 - 259	239.5	259.5	8
260 - 279	259.5	279.5	1

we are allowed to solve four subparts only.

orchestra answered 1 year ago

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