Find the mean of the following data X equals 19 21 23 25 27 29 31 and F equals to13 15 16 18 16 15 13 
Answers
⇒mean =
⇒mean = 13+15+16+18+16+15+13
⇒mean = 13+15+16+18+16+15+13______________________________________
⇒mean = 13+15+16+18+16+15+13______________________________________(19×13)+(21×15)+(23×16)+(25×18)+(27×16)+(29×15)+(31×13)
⇒mean = 13+15+16+18+16+15+13______________________________________(19×13)+(21×15)+(23×16)+(25×18)+(27×16)+(29×15)+(31×13)
⇒mean = 13+15+16+18+16+15+13______________________________________(19×13)+(21×15)+(23×16)+(25×18)+(27×16)+(29×15)+(31×13)
⇒mean = 13+15+16+18+16+15+13______________________________________(19×13)+(21×15)+(23×16)+(25×18)+(27×16)+(29×15)+(31×13) ⇒mean =
⇒mean = 13+15+16+18+16+15+13______________________________________(19×13)+(21×15)+(23×16)+(25×18)+(27×16)+(29×15)+(31×13) ⇒mean = 13+15+16+18+16+15+13
⇒mean = 13+15+16+18+16+15+13______________________________________(19×13)+(21×15)+(23×16)+(25×18)+(27×16)+(29×15)+(31×13) ⇒mean = 13+15+16+18+16+15+13___________________________
⇒mean = 13+15+16+18+16+15+13______________________________________(19×13)+(21×15)+(23×16)+(25×18)+(27×16)+(29×15)+(31×13) ⇒mean = 13+15+16+18+16+15+13___________________________247+1575+368+450+432+435+403
⇒mean = 13+15+16+18+16+15+13______________________________________(19×13)+(21×15)+(23×16)+(25×18)+(27×16)+(29×15)+(31×13) ⇒mean = 13+15+16+18+16+15+13___________________________247+1575+368+450+432+435+403
⇒mean = 13+15+16+18+16+15+13______________________________________(19×13)+(21×15)+(23×16)+(25×18)+(27×16)+(29×15)+(31×13) ⇒mean = 13+15+16+18+16+15+13___________________________247+1575+368+450+432+435+403
⇒mean = 13+15+16+18+16+15+13______________________________________(19×13)+(21×15)+(23×16)+(25×18)+(27×16)+(29×15)+(31×13) ⇒mean = 13+15+16+18+16+15+13___________________________247+1575+368+450+432+435+403 ⇒mean=25