Answer:
1. Mean merit for girls = 3.08
2. Mean merit for boys = 3.03
3. The girls did better.
Step-by-step explanation:
The following data were obtained from the question:
Marit >>> Girls >>> Boys
0 >>>>>> 5 >>>>>>> 4
1 >>>>>> 6 >>>>>>> 6
2 >>>>>> 11 >>>>>> 11
3 >>>>>> 15 >>>>>> 13
4 >>>>>> 14 >>>>>> 13
5 >>>>>> 13 >>>>>> 9
6 >>>>>> 1 >>>>>>> 2
1. Determination of the mean number of merit for girls.
Summation of merit of girls (ΣMG) = (0×5) + (1×6) + (2×11) + (3×15) + (4×14) + (5×13) + (6×1)
= 0 + 6 + 22 + 45 + 56 + 65 + 6
= 200
Summation of girls (ΣG) = 5 + 6 + 11 + 15 + 14 + 13 + 1
= 65
Mean merit for girls =?
Mean = ΣMG / ΣG
Mean = 200 / 65
Mean merit for girls = 3.08
2. Determination of the mean number of merit for boys.
Summation of merit of boys (ΣMB) = (0×4) + (1×6) + (2×11) + (3×13) + (4×13) + (5×9) + (6×2)
= 0 + 6 + 22 + 39 + 52 + 45 + 12
= 176
Summation of boys (ΣB) = 4 + 6 + 11 + 13 + 13 + 9 + 2
= 58
Mean merit for boys =?
Mean = ΣMB / ΣB
Mean = 176 / 58
Mean merit for boys = 3.03
3. Determination of who did better.
Mean merit for girls = 3.08
Mean merit for boys = 3.03
We can see from the data above that the mean merit for girls (i.e 3.08) is greater than that of boys (i.e 3.03). Therefore, the girls did better than the boys
