True or False The first distribution shown below has a small

True or False? The first distribution shown below has a smaller mean than does the second distribution. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 True False

Solution

Mean of first distribution = (1+2+3+4+5+6+7+8+9+10+11+12)/12 =78/12 = 13/2= 6.5

Mean of second distribution =(101+102+103+104+105+106+107+108+109+110+111+112)/12 = 1278/12= 213/12= 106.5

Hence, 6.5< 106.5

i.e Mean of first Distribution <Mean of second distbution

A.True