Question

the marks obtained by the student in a test of 20 marks in Mathematics are as follows. Find the median of the information. Marks 4 6 10 15 18 20 Number of students 2 4 8 12 3 1​

Answer 1

Answer:

median is 15

Step-by-step explanation:

n/2+1, 2+4+8+12+3+1= 30 , here n= 30

then n÷2 + 1= 16

by c.f 16 falls at 15. so the answer is 15

Answer 2

Cumulative frequency is the total of a frequency and all frequencies in a frequency distribution until a certain defined class interval.

Median is the middlemost value of a given data set. It is the value that separates the higher half of the data set, from the lower half.

Mean = Mean of score of $15^{th}$ and $16^{th}$ students

$M=\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1 )^{th} }{2}$

$M=\frac{(\frac{30}{2})^{th} +(\frac{30}{2}+1)^{th} }{2}=\frac{15^{th}term+16^{th}term }{2}$

$=\frac{15+15}{2}=\frac{30}{2}=15$

Hence, median marks $=15.$