Find missing frequency for ungrouped data example Missing frequency when Median is given example

1. Find missing frequency from the following data
-9,-4,a,5,8,11 and Median=2

Solution:
Here

-9,-4,a,5,8,11 $-9,-4,a,5,8,11$

M=value of (n2)th observation+value of (n2+1)th observation2 $M = (text{value of } (n/2)^(th) text{ observation} + text{value of } (n/2 + 1)^(th) text{ observation})/2$

2=value of (62)th observation+value of (62+1)th observation2 $2 = (text{value of } (6/2)^(th) text{ observation} + text{value of } (6/2 + 1)^(th) text{ observation})/2$

2=value of 3rd observation+value of 4th observation2 $2 = (text{value of } 3^(rd) text{ observation} + text{value of } 4^(th) text{ observation})/2$

2=a+52 $2 = (a + 5)/2$

4=a+5 $4 = a + 5$

a=4-5 $a = 4 - 5$

a=-1 $a = -1$

2. Find missing frequency from the following data
70,76,80,85,85,x,95,96,100,108 $70,76,80,85,85,x,95,96,100,108$ and MEDIAN=85 $=85$

Solution:
Here

70,76,80,85,85,x,95,96,100,108 $70,76,80,85,85,x,95,96,100,108$

M=value of (n2)th observation+value of (n2+1)th observation2 $M = (text{value of } (n/2)^(th) text{ observation} + text{value of } (n/2 + 1)^(th) text{ observation})/2$

85=value of (102)th observation+value of (102+1)th observation2 $85 = (text{value of } (10/2)^(th) text{ observation} + text{value of } (10/2 + 1)^(th) text{ observation})/2$

85=value of 5th observation+value of 6th observation2 $85 = (text{value of } 5^(th) text{ observation} + text{value of } 6^(th) text{ observation})/2$

85=85+x2 $85 = (85 + x)/2$

170=85+x $170=85 + x$

x=170-85 $x=170 - 85$

x=85 $x=85$

This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here

1. Missing frequency when Median is given example