Find the mean number of merits received by the girls and boys.
Who did better on average?

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

b

step-by-step explanation: