Question

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

209	225	201	236	220	244	247	245	250	227
234	227	213	212	193	182	242	230	188	252
201	226	222	212	219	223	191	222	231	239
217	241	220	278	255	225	208	225	227	203

1. Determine the sample median and sample mode

Answer 1

Solution:
Median :
Observations in the ascending order are :
182,188,191,193,201,201,203,208,209,212,212,213,217,219,220,220,222,222,223,225,225,225,226,227,227,227,230,231,234,236,239,241,242,244,245,247,250,252,255,278

Here, n=40 is even.

M=Value of(n2)thobservation+Value of(n2+1)thobservation/2

=Value of(40/2)thobservation+Value of(402+1)thobservation/2

=Value of20thobservation+Value of21stobservation/2

=225+2252

=225


Mode :
In the given data, the observation 225,227 occurs maximum number of times (3)

∴Z=225,227