Welcome to a world
Where technology Breaks the
Barrier to pure, Unadulterated knowledge.
Mean, Variance & SD (Raw Data — No Frequency)
Instructions: Enter all the data values separated by commas, spaces, or new lines.
Example: 5, 7, 9, 10, 10, 12
x
x − mean
(x − mean)²
Totals
Σx =
Σ(x − mean)² =
Mean:
Variance (population):
Standard Deviation (population):
Mean, Variance & SD (with Frequency — Discrete)
Instructions: Enter each distinct value and its frequency. Click "Add Row" to add more pairs, then click "Calculate".
Value (x)
Frequency (f)
Action
x
f
f·x
x − mean
(x − mean)²
f·(x − mean)²
Totals
-
-
Mean (grouped):
Variance (population):
Standard Deviation (population):
Mean, Variance & SD (Class Intervals)
Instructions: Enter each class interval (lower & upper limit) and its frequency.
Example: class 0–10, 10–20, etc.
Lower Limit (L)
Upper Limit (U)
Frequency (f)
Action
Class
Midpoint (m)
f
f·m
m − mean
(m − mean)²
f·(m − mean)²
Totals
-
-
-
Mean (grouped, using midpoints):
Variance (population):
Standard Deviation (population):
INSTALEARN
Author & Editor
The content is created by team of professionals from diverse fields. One is from Central Government employee who contributes purely in a personal capacity, driven by a passion for promoting quality educational resources. The other is a practicing Law with experience in academic writing and legal education. Along with many others who support this initiative, our combined expertise ensures that learning materials are accurate, insightful, and easy to understand.
Together, We, dedicate this website to Students and Learning Enthusiasts... Thank you.
