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

If x1,x2,...,x18 are observations such that j=118xj-8=9 and j=118xj-82=45, then the standard deviation of these observations is


A

8134

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

32

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

32


Explanation for the correct option.

Find the standard deviation.

The standard deviation is given as:

SD=j=118xj-82n-j=118xj-8n2.

Here, the number of terms is 18, j=118xj-8=9 and j=118xj-82=45, so the standard deviation is:

SD=4518-9182=52-122=52-14=10-14=94=32

Thus the standard deviation of these observations is 32.

Hence, the correct option is D.


flag
Suggest Corrections
thumbs-up
6
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Standard Deviation about Mean
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon