Explanation:

- Calculate the total number of students for each institution using the average formula:

- \( \text{Total Students} = \text{Average} \times 2 \)

- For institution A, Total = \(110 \times 2\) = 220

- For institution B, Total = \(140 \times 2\) = 280

- For institution C, Total = \(80 \times 2\) = 160

- For institution D, Total = \(96 \times 2\) = 192

- For institution E, Total = \(48 \times 2\) = 96

- Calculate the number of boys for each institution:

- Boys in A = 220 - 80 = 140

- Boys in B = 280 - 90 = 190

- Boys in C = 160 - 60 = 100

- Boys in D = 192 - 60 = 132

- Boys in E = 96 - 40 = 56

- Calculate the average number of boys:

- Total Boys = 140 + 190 + 100 + 132 + 56 = 618

- Average Boys = \(618 / 5 = 123.6\)

- Calculate the average number of girls:

- Total Girls = 80 + 90 + 60 + 60 + 40 = 330

- Average Girls = \(330 / 5 = 66\)

- Difference between average boys and girls:

- Difference = 123.6 - 66 = 57.6

Correct Answer: Option 4 - 57.6