the mean of 5 numbers is 22. if one more number is included, then the

1.	the mean of 5 numbers is 22. if one more number is included, then the mean of the new set of numbers become 24.find the included number.
Answer» Answer: The included number is 34 Step-by-step EXPLANATION: Formula used: $Mean=\frac{\Sigma{x}}{n}$ LET the included number be k Given: Mean of 5 numbers = 22 $\frac{\Sigma{x}}{5}=22$ $\Sigma{x}=225$ $\Sigma{x}=110$ when ONE more nuimber is included $New\:\Sigma{x}=110+k$ Now, $New\:Mean=\frac{New\:\Sigma{x}}{6}$ $24=\frac{110+k}{6}$ $246=110+k$ $144=110+k$ $k=34$ THEREFORE, the included number is 34