wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If the median of the data 6,7,x2,x,18,21 written in ascending order is 16, then the variance of the data is

A
3015
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3113
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
3212
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3313
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 3113
The given observations are,
6,7,x2,x,18,21
Number of observations (n)=6 [ even ]
Median=3rdobs+4thobs2

16=x2+x2

32=x2+x
32=2x2
34=2x
x=17
The observations becomes,
6,7,15,17,18,21
¯¯¯x=6+7+15+17+18+216=846=14

Variance(σ2)=(614)2+(714)2+(1514)2+(1714)2+(1814)2+(2114)26

=(8)2+(7)2+(1)2+(3)2+(4)2+(7)26

=64+49+1+9+16+496

=1886

=943

=3113

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon