B.Pharmacy VIII Semester (PCI
Scheme)/
(Non-PCI Scheme)
Examination, June 2020
Choice Based Grading System
(CBGS)
Biostatistics and Research
Methodology
Time : Three Hours
, Maximum Marks : 75
1. a) Finding Mean, Median, and Mode
**Data:** 2, 4, 7, 1, 6, 9, 5, 4, 4, 3, 4
**Mean:**
The mean (average) is calculated by summing all the data values and dividing by the number of
values.
\[
\text{Mean} = \frac{\sum \text{data values}}{\text{number of values}}
\]
\[
\text{Mean} = \frac{2 + 4 + 7 + 1 + 6 + 9 + 5 + 4 + 4 + 3 + 4}{11} = \frac{59}{11} \approx 5.36
\]
**Median:**
To find the median, sort the data in ascending order and find the middle value. If there is an
even number of observations, the median is the average of the two middle values.
Sorted Data: 1, 2, 3, 4, 4, 4, 4, 5, 6, 7, 9
There are 11 values, so the median is the 6th value in the sorted list:
\[
\text{Median} = 4
\]
**Mode:**
The mode is the value that appears most frequently.
In this data, 4 appears most frequently (4 times).
\[
\text{Mode} = 4
\]