Your Progress 0 / 25 attempted
Q 01 / 25
The arithmetic mean of \(5,7,9\) is \(7\).
Q 02 / 25
If all observations are equal, their variance is zero.
Q 03 / 25
The mean of grouped data depends on class midpoints.
Q 04 / 25
The sum of deviations from the arithmetic mean is always zero.
Q 05 / 25
Mean deviation is always non-negative.
Q 06 / 25
Median is affected more by extreme values than mean.
Q 07 / 25
The mode of a symmetric unimodal distribution equals its mean.
Q 08 / 25
Class width is the difference between successive class limits.
Q 09 / 25
Cumulative frequency can be “less than” or “more than”.
Q 10 / 25
The variance has the same unit as the data.
Q 11 / 25
Standard deviation is the square root of variance.
Q 12 / 25
Mean deviation about mean is always less than or equal to standard deviation.
Q 13 / 25
If each observation is multiplied by \(k\), variance becomes \(k^2\) times.
Q 14 / 25
Adding a constant to every observation changes the variance.
Q 15 / 25
Step deviation method simplifies mean computation for large data.
Q 16 / 25
For continuous data, median is found using class boundaries.
Q 17 / 25
The empirical relation \( \text{Mode}=3\text{Median}-2\text{Mean} \) always holds.
Q 18 / 25
Range considers only the smallest and largest observations.
Q 19 / 25
Coefficient of variation is unit-free.
Q 20 / 25
Two datasets with equal mean must have equal standard deviation.
Q 21 / 25
If frequencies are doubled, standard deviation also doubles.
Q 22 / 25
For a frequency distribution, \(\sum f(x-\bar x)=0\).
Q 23 / 25
Among datasets with same mean, the one with larger variance is more dispersed.
Q 24 / 25
If \(X\) has variance \(\sigma^2\), then \(Y=aX+b\) has variance \(a^2\sigma^2\).
Q 25 / 25
Minimum variance of a dataset occurs when all observations are equal.
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ACADEMIA AETERNUM तमसो मा ज्योतिर्गमय · Est. 2025
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🎓 Class 11 📐 Maths 📖 NCERT ✅ Free Access 🏆 CBSE · JEE
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