1). What is Mean, Mode and Median?
Solution
Answer:
The mean is the average of a collection of numbers or terms in a sequence. To calculate the mean use a formula is sum of total terms divided by number of terms.
The mode is the most frequent number or term in a sequence. It means the number that occurred highest number of times in a sequence. To find the mode arrange the numbers in ascending or descending order and verify which number repeated most number of times in a sorted sequence.
The median is the middle number/term where the sequence is arranged in ascending or descending order. If the sorted sequence have odd number of terms then divide by 2 and round up to get the position of the median number. If the sorted sequence have even number of terms then divide by 2 to get the position of the median number.
2). What is the Difference between Fractional and Rational number?
Solution
A fraction is any number of the form a/b where both “a” and “b” are whole numbers and b≠0.
A Rational number is a number which is in the form of p/q where both “p” and “q” are integers and q≠0.
Thus, a fraction is written in the form of m/n, where n is not 0 and m & n are whole (or natural numbers). For example, 20/33, 15/12, 12/50, 14/31. A rational number can also be written in the form of a/b, where b is not 0 and a & b are integers. For example, 15/7, 18/-13, 3/7, 6/12.
Consider the fraction 15/-42. It is a rational number but not a fractional number because its denominator (n) is not a natural number.
What is the Difference Between Fraction and Rational Number?
| S.No. | Fraction | Rational Numbers |
| 1. | Written in the form of a/b, where a and b are whole numbers, and b≠0 | Written in the form of p/q, where p and q are integers, and q≠0 |
| 2. | All fractional numbers are rational numbers. | All rational numbers are not fractions. |
3. | 1/8,1/3,1/9, etc. | 9/2, 13/4, etc. |
| 4 | Note: Both are real numbers | |
3.What is Incenter ?
In geometry, the incenter of a triangle is a triangle centre, a point defined for any triangle in a way that is independent of the triangle's placement or scale. The centre of the incircle of a triangle or other figure. or
The incenter is the point where all of the angle bisectors meet in the triangle.
For a triangle, an incenter can be obtained by drawing the angle bisectors of the triangle and locate the point of intersection of these bisectors. This can be done by using a compass.
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