Statistics And Probability Question 57

Question: Mean of 100 observations is 45. It was later found that two observations 19 and 31 were incorrectly recorded as 91 and 13. The correct mean is

Options:

A) 44.0

B) 44.46

C) 45.00

D) 45.54

Show Answer

Answer:

Correct Answer: B

Solution:

Sum of 100 items = 45×100 = 4500 Sum of items added = 19 +31 = 50 Sum of items replaced = 91+ 13 = 104 New sum = $ 4500-104+50 $ = 4446 \ New mean $ =\frac{4446}{100} $ = 44.46



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें