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Chapter 6: Q. 65 (page 382)

The mean of Tis

(a)110

(b)140

(c)180

(d)195

(e)250

Short Answer

Expert verified

The mean ofTis option (c)180.

Step by step solution

01

Concept Introduction 

A mean is a measurement of center of gravity in a probability distribution, along with mean, median, and mode. In statistics, it is a measure of central tendency.

02

Explanation 

Given:

渭X=110

蟽X=10

渭Y=140

蟽Y=12

Property mean and variance (if Xand Yare independent):

localid="1649859475011" 渭aX+bY=a渭X+b渭Y蟽aX+bY2=a2渭X2+b2渭Y2

The obtained results are:

localid="1649859480196" 渭X+Y/2=渭X+12渭Y=110+12(140)=180

localid="1649859485292" 蟽X+Y/2=蟽X2+122蟽X22=102+14122鈮�11.66

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