Question Number 89907 by necxxx last updated on 19/Apr/20
$${If}\:{the}\:{sum}\:{of}\:\mathrm{4}\:{numbers}\:{is}\:{between} \\ $$$$\mathrm{53}\:{and}\:\mathrm{57}\:{then}\:{the}\:{arithmetic}\:{mean}\:{of} \\ $$$${the}\:{numbers}\:{could}\:{be}\:{one}\:{of}\:{the} \\ $$$${following} \\ $$$$ \\ $$$$\left.{a}\left.\right)\left.\mathrm{1}\left.\mathrm{1}\left..\mathrm{5}\:{b}\right)\mathrm{12}\:{c}\right)\mathrm{12}.\mathrm{5}\:{d}\right)\mathrm{13}\:{e}\right)\mathrm{14} \\ $$
Answered by MJS last updated on 19/Apr/20
$$\overset{−} {{x}}=\frac{\underset{{j}=\mathrm{1}} {\overset{{n}} {\sum}}{x}_{{j}} }{{n}} \\ $$$${n}=\mathrm{4};\:\mathrm{53}<\underset{{j}=\mathrm{1}} {\overset{{n}} {\sum}}{x}_{{j}} <\mathrm{57}\:\Rightarrow\:\frac{\mathrm{53}}{\mathrm{4}}<\overset{−} {{x}}<\frac{\mathrm{57}}{\mathrm{4}}\:\mathrm{same}\:\mathrm{as} \\ $$$$\left.\mathrm{13}.\mathrm{25}<\overset{−} {{x}}<\mathrm{14}.\mathrm{25}\:\Rightarrow\:\mathrm{answer}\:\mathrm{is}\:{e}\right)\:\mathrm{14} \\ $$
Commented by I want to learn more last updated on 20/Apr/20
$$\mathrm{Sir},\:\mathrm{help}\:\mathrm{me}\:\mathrm{check}\:\mathrm{Q89908}.\:\mathrm{Is}\:\mathrm{the}\:\mathrm{question}\:\mathrm{possible}?.\:\mathrm{I}\:\mathrm{just}\:\mathrm{want}\:\mathrm{to}\:\mathrm{know}. \\ $$
Commented by necxxx last updated on 20/Apr/20
$${It}'{s}\:{clear}\:{and}\:{understandable}\:{sir}.\:{Thank}\:{you}. \\ $$