1
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0
 

If for some $x \in \mathbb{R}^{+} \cup\{0\}$, the frequency distribution of the marks obtained by 20 students in a test is

Marks : 2 3 5 7
Frequency : $(x+1)^2$ $2x-5$ $x^2-3x$ $x$

then the mean of the marks is

A
3.0
B
2.5
C
2.8
D
3.2
2
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

In an experiment with 15 observations for $x$, the following results were available $\sum x^2=2830, \sum x=170$. One observation 20 was found to be wrong and was replaced by the correct value 30 . Then the corrected variance is

A
78
B
210
C
225
D
88
3
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The mean and variance of 7 observations are 8 and 16 respectively. If first five observations are $2,4,10,12,14$, then absolute difference of remaining two observations is

A
1
B
2
C
3
D
4
4
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Mean and variance of six observations are 6 and 12 respectively. If each observation is multiplied by 3, then new variance of the resulting observations is

A
288
B
36
C
18
D
108
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