Thread: statistic

The table below shows the number of defective electronic components per lot for 500 lots that have been tested .

number of defective components per lot
0
1
2
3
4
5
6 or more

Corresponding relative frequency
0.042
0.054
0.392
0.318
0.148
0.014
0.032

For the lots with defective components of more than 5 , the mean number of defective components per lot is 6.4 . Find the mean number of defective electronic components per lot for the given 500 lots.

this is what i did .

for the mean for ( 6 or more ) : x=16(6.4)=102.4

so overall mean = ( 1+2+3+4+5+102.4)/500 =0.24

Am i right ??

Originally Posted by thereddevils

The table below shows the number of defective electronic components per lot for 500 lots that have been tested .

number of defective components per lot
0
1
2
3
4
5
6 or more

Corresponding relative frequency
0.042
0.054
0.392
0.318
0.148
0.014
0.032

For the lots with defective components of more than 5 , the mean number of defective components per lot is 6.4 . Find the mean number of defective electronic components per lot for the given 500 lots.

this is what i did .

for the mean for ( 6 or more ) : x=16(6.4)=102.4

so overall mean = ( 1+2+3+4+5+102.4)/500 =0.24

Am i right ??

I don't think so. How does this use all of the frequency data given. I think you might need to calculate (0)(0.042) + (1)(0.054) + (2)(0.392) + (3)(0.318) + (4)(0.148) + (5)(0.014) + (6.4)(0.032).