Apedia Logo Apedia
Join

Choose Language

Select your preferred reading language
🇬🇧
English
✔
🇮🇳
हिन्दी
✔
✕
Full View
Statistics
Mean, Median, Mode
EN हिंदी
✕
NTPC Graduate Tier 1 2025 Shift-3 📅 06 Jun, 2025

The mode and median of data are 36.3 and 62, respectively. What is the mean of the data? (Use the empirical formula)

A
74.85
B
76.15
C
79.75
D
68.95
Result Summary
Logo

APEDIA

NTPC Graduate Tier 1
2025 • 06 Jun, 2025 • Shift-3
The mode and median of data are 36.3 and 62, respectively. What is the mean of the data? (Use the empirical formula)
Correct Answer
74.85
Empirical Formula Context: The empirical relationship between mean, median, and mode for a moderately skewed distribution is given by the formula: Mode = 3 Medi......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Statistics
Chapter -
Ref. Topic Mean, Median, Mode
Pg. No -
💡 Analysis & Explanation
Empirical Formula Context ▼
The empirical relationship between mean, median, and mode for a moderately skewed distribution is given by the formula: Mode = 3 Median - 2 Mean.
Value Substitution ▼
Given Mode = 36.3 and Median = 62. Substituting these values into the formula: $36.3 = 3(62) - 2(\text{Mean})$.
Calculation Steps ▼
This simplifies to $36.3 = 186 - 2(\text{Mean})$. Rearranging, we get $2(\text{Mean}) = 186 - 36.3 = 149.7$. Therefore, Mean = $149.7 / 2 = 74.85$.
Conclusion ▼
The mean of the data is 74.85.
← Prev
24 / 100
Next →