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

step-by-step explanation:

107 units

24

step-by-step explanation: