Question

find the meadin value xi = 1,2, 3, 4, 5, and fi = 6, 7, 7, 5, 3​

Answer 1

Answer:

Step-by-step explanation:

x

 10

 11

 12

 13

 14

 15

f

 1

 4

 7

 5

 9

 8

for a frequency distribution,

So, total number of observation =(1+4+7+5+9+8)=34

It is a even number.

So, median is the value of average of values at (2n​)th and (2n+2​)th.

∴  Here, median is the average of the values at (234​)th or 17th position and (234+2​)th or 18th position.

x 10  11

 12

 13

 14

15

f

 1

 4

 7

5  9

 8

position

 1

 1+4=5

 5+7=12

 12+5=17

 17+9=26

 26+8=34

So, value of x at 17th position is 13 and at 18th position is 14.

∴Median=(213+14​)=227​=13.5.

Mode for a frequency distribution is the value which is the most common frequent value.

Here 14 has frequency 9 which is highest. So, mode for the frequency distribution is 14