1
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The mean of the numbers $a, b, 8,5,10$ is 6 and the variance is $6.8$ . Then which of the following gives possible values of $a$ and $b$ ?

A
$\mathrm{a}=3, \mathrm{~b}=4$
B
$\mathrm{a}=0, \mathrm{~b}=7$
C
$\mathrm{a=5, b=2}$
D
$\mathrm{a}=1, \mathrm{~b}=6$
2
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
3
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
4
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
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