Question

Mean of 6 numbers is 300.if one number is excluded then mean become 280 ,find excluded number

Answer 1

Answer:

400

Step-by-step explanation:

mean of 6 number = 300

sum of 6 number = 6×300

= 1800

mean of 5 number= 280

sum of 5 number = 5 ×280

= 1400

excluded number = 1800 - 1400

= 400

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Answer 2

The value of excluded number is 400.

Step-by-step explanation:

Since we have given that

Number of observations = 6

Mean = 300

So, it becomes,

$\dfrac{\text{Sum of observations}}{\text{Number of observation}}=Mean\\\\\dfrac{\text{Sum of observations}}{6}=300\\\\\text{Sum of observations}=300\times 6=1800$

If one number is excluded,

mean becomes 280

So, it becomes,

$\dfrac{\text{Sum of observations}}{\text{Number of observation}}=Mean\\\\\dfrac{\text{Sum of observations}}{5}=280\\\\\text{Sum of observations}=280\times 5=1400$

So, Excluded number would be

$1800-1400=400$

Hence, the value of excluded number is 400.

# learn more:

The mean of 6 number is 24. if one number is excluded the mean of remaining number become 22. find the excluded number

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