Given that, 2, 1, 2, 3, 3, 6, 4, 8, 14, 9, 4, 8, 4
Arrange the given data ascending order:
1, 2, 2, 3, 3, 4, 4, 4, 6, 8, 8, 9, 14
In the given observation, frequency of 4 is maximum, i.e, it occurs three times.
Thus, the mode of the give observation is 4.

Range = 14 – 1 = 13
Total number of the observation, n = 13 (odd)
Therefore,
Median =

Here the mark obtained by the candidate is 60 and the candidate fails by 20 marks.
Therefore the passing marks is (160+40) = 200
Let the total marks be x,
40/100 * x = 200
Hence, x = 500

As we know the reflex angle is larger than a straight angle and the straight angle is equivalent to half a revolution. Thus, the reflex angle will be equivalent to more than half a revolution.

Required number (IInd number)

A cuboid has 12 edges.

Let the distance between P and Q = x km
The time taken by the person to travel the distance between P and Q at the speed of 20 km = x/20 hr
The time taken by the person to travel the distance between Q and P at the speed of 30 km = x/30 hr
Total distance covered by person
= x + x = 2x
Therefore, Average speed of the person

let the two complementary angles are 2x and 3x. Therefore,

Infinte number of lines can be drawn on a plane.

LCM of 2, 5, and 7 = 70
4515 ÷ 70 = 64 and remainder =35
Hence the least number which should be added = 70 - 35 = 35

If the numerator of a fraction is 10 less than the denominator
then we could write the denominator as X and the numerator as X-10
that means that the missing fraction is = (X-10) /X
Now we must add 2 to the numerator and denominator
So the new fraction is
=(X-10)+2 / X+2 = X-8/X+2
According to the question,
Therefore we can set up an equation to solve cross multiply solve x
X-8/X+2=1/2
After simplifying, 2X-16 = X+2 or 2X-X= 2+16
X=18
Remember this is only X we have to find out also Y
So fraction is = (X-10) /X
Put the value of x
=18-8/18 = 8/18 = 4/9