Consider a sample with data values of 55, 53, 70, 54, 51, 62, 65, 72, 51, 57, and 50. Compute the mean, median, and mode.
If required, round your answers to two decimal places.
Mean | = | |
Median | = | |
Mode | = |
Solution:
The sample mean is
Mean
= (x
/ n) )
= ( 55+53+70+54+51+62+65+72+51+57+50 /11 )
=640 /11
=58.181
Mean = 58.18
Median :
Observations in the ascending order are :
50,51,51,53,54,55,57,62,65,70,72
Here, n=11 is odd
.M= value of (n+1 ) / 2)th observation
= value of (11+12)th observation
= value of 6th observation
=55
Median = 55
Mode :
In the given data, the observation 51 occurs maximum number of
times (2)
∴Z=51
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