Answer :

Answer:

27.5

Step-by-step explanation:

The given data set is presented in a stem and leaf plot, where the stems are listed in a column and the leaves are listed in a row next to the corresponding stem, in increasing order.

Each data point of the given data set has two-digits. The value of the tens digit of each data point is the stem, and the value of the ones digit of each data point is the leaf.

Therefore, the 10 data values are:

  • 10, 16, 22, 26, 29, 32, 33, 34, 34, 39

To determine the mean of a set of data, we divide the sum of the data values by the number of data values. Therefore:

[tex]\textsf{Mean}=\dfrac{10 + 16 + 22 + 26 + 29 + 32 + 33 + 34 + 34 + 39}{10}\\\\\\\textsf{Mean}=\dfrac{275}{10}\\\\\\\textsf{Mean}=27.5[/tex]

So, the mean of the given data set is:

[tex]\Large\boxed{\boxed{\sf Mean = 27.5}}[/tex]

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