Jawaharlal Nehru Technological University Hyderabad B. Pharmacy IV BIOSTATISTICS AND RESEARCH METHODOLOGY Previous Question Paper (September - 2022 - R17)

To calculate the mean and median for the grouped data, we first determine the midpoints (x) and cumulative frequencies (cf):

The Mean (x̄) is calculated as:

For the Median, N/2 = 140. The median class is 30-40 (since 140 falls within the cumulative frequency 174). Using the formula:

Where L=30, N/2=140, cf=42, f=132, and i=10:

Standard Deviation (SD) is a critical measure of dispersion in pharmaceutical research, quantifying the amount of variation or spread in a set of data values. Its importance includes:

• Quality Control: In pharmaceutical manufacturing, SD is used to monitor the consistency of drug content in dosage forms (e.g., tablet weight uniformity). A low SD indicates high precision and adherence to manufacturing specifications.
• Clinical Trial Analysis: It helps researchers understand the variability in patient responses to a treatment. A large SD suggests that the drug's effect varies significantly among individuals, which is vital for assessing safety and efficacy.
• Statistical Significance: SD is a fundamental component in calculating the Standard Error of the Mean, which is required for performing t-tests and ANOVA to determine if differences between drug formulations or treatment groups are statistically significant.
• Stability Testing: It is used to evaluate the stability of active pharmaceutical ingredients (APIs) over time, ensuring that degradation remains within acceptable limits.