Question

The number 3.2,5.3,7.9 and 4.5 have a frequency x,(x+2), (x+3) and (x-6) respectively. If the arithmetic mean is 4.876. Find the value of x

Answer 1

Answer:

Mean =6.5=

x−2+x+2+x−3+x+3

3×(x−2)+5×(x+2)+7×(x−3)+9×(x+3)

∴ 6.5=

4x

3x−6+5x+10+7x−21+9x+27

∴ 6.5×4x=24x+10

∴ 26x−24x=10

∴ x=5