The data given in the table shows the number of Boys and girls enrolled in three different streams in a school over 5 years. (2012 to 2020)
|
years |
Arts |
Science |
Commerce |
|||
|
Boys |
Girls |
Boys |
Girls |
Boys |
Girls |
|
|
2012 |
48 |
36 |
40 |
35 |
35 |
45 |
|
2014 |
42 |
43 |
42 |
32 |
32 |
42 |
|
2016 |
45 |
42 |
38 |
30 |
36 |
38 |
|
2018 |
39 |
46 |
41 |
23 |
28 |
34 |
|
2020 |
36 |
43 |
39 |
30 |
39 |
41 |
What is the difference between the average of the number of Boys in the Commerce stream for the 5 years and the average of the number of girls in the Arts stream for the 5 years?
Answer & explanation
Correct answer: option 3
Average number of boys in commerce = \(\frac{35 + 32 + 36 + 28 + 39}{5}\)
= \(\frac{ 170}{5}\)
= 34
Average number of girls in Arts = \(\frac{36 + 43 + 42 + 46 + 43}{5}\)
= \(\frac{ 210}{5}\)
= 42
Required difference = 42 - 34 = 8