0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

# The prices of a movie ticket in 6 different movie theatres are Rs 50, Rs 80, Rs 120, Rs 200, Rs 100 and Rs 170. Find the standard deviation of the prices using the step-deviation method.

A
51.31
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
62.56
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
66.45
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
70.82
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A 51.31Here, all observations are divisible by 10. Choose the common factor (c) as 10. Mean, ¯X=50+80+120+200+100+1706=7206=Rs 120 Factored mean, ¯x=12010=12 XX′=Xcd=x−¯xd2505−749808−41612012002002086410010−2417017525∑d2=158 σ=√∑d2N×c=√1586×10=5.131×10=51.31

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Standard Deviation
STATISTICS
Watch in App
Join BYJU'S Learning Program