Question

I did the chart already. I just need help with explaining it and the last two

Answer 1

Class 1: 80, 81, 81, 75, 70, 72, 74, 76, 77, 77, 77, 79, 84, 88, 90, 86, 80, 80, 78, 82

Class 2: 70, 90, 88, 89, 86, 86, 86, 86, 84, 82, 77, 79, 84, 84, 84, 86, 87, 88, 88, 88

Rearranging the grades in ascending order:

Class 1: 70, 72, 74, 75, 76, 77, 77, 77, 78, 79, 80, 80, 80, 81, 81, 82, 84, 86, 88, 90

Class 2: 70, 77, 79, 82, 84, 84, 84, 84, 86, 86, 86, 86, 86, 87, 88, 88, 88, 88, 89, 90

Note the following formulae:

`\begin{gathered} Lower\text{ quartile, Q}_1=(N+1)/(4)th\text{ term} \\ \\ Upper\text{ quartile, Q}_3=(3(N+1))/(4)th\text{ term} \\ \\ IQR=Q_3-Q_1 \\ \\ Mean=(\sum x)/(N) \\ \\ Median\text{ = The middle value} \\ \\ Mean\text{ Absolute Deviation = }\fracx_i-\barx{N} \end{gathered}`

Following the formulae written above, the complete table is drawn below

Note that:

The students that work in small groups will have their grades close to each other because they worked together. This means that their Mean Absolute Deviation will be smaller

Therefore, class 1 was the lecture and class 2 was the small group