Question

1. Justin asked some teachers how many cups of coffee they cach drank each yesterday. The table shows some of his results. Complete the table and determine the mean number of cups of coffee drank yesterday Weighted Total

Answer 1

The weighted total is obtained by multiplying the data value by its corresponding frequency,

`w_i=x_i\cdot f_i`

Solve for the weighted total for each data point as,

`\begin{gathered} w_0=0*5=0 \\ w_1=1*9=9 \\ w_2=2*7=14 \\ w_3=3*4=12 \\ w_4=4*3=12 \\ w_5=5*2=10 \end{gathered}`

The mean of the data is calculated as,

`\begin{gathered} \text{Mean}=\frac{\sum ^5_(i\mathop=0)x_if_i}{\sum ^5_{i\mathop{=}0}x_{}f_i} \\ \text{Mean}=(0+9+14+12+12+10)/(5+9+7+4+3+2) \\ \text{Mean}=(57)/(30) \\ \text{Mean}=1.9 \end{gathered}`

Thus, the mean number of cups of coffee drank yesterday is