Question

How can I find the average stem length, Median stem length and Modal stem length?

Answer 1

To find the average:

1.Number of data: n=100

2. Find the sum of datas: multiply each length by its frequency and sum the resulting products:

`\begin{gathered} 25*2=50 \\ 26*9=234 \\ 27*10=270 \\ 28*12=336 \\ 29*20=580 \\ 30*19=570 \\ 31*13=403 \\ 32*15=480 \\ \\ 50+234+270+336+580+570+403+480=2923 \end{gathered}`

3. Divide the result in step 2 into the number of data:

`Average=(2923)/(100)=29.23`

Average: 29.23cm

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Median: Identify the two median datas (number 50 and 51) and find the average between those datas:

As data number 50 and 51 are 29cm the median is 29cm

Median: 29cm

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Modal: Identify the data with greatest frequency

Modal: 29cm