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the dot plots show the heights of the students in two 7th grade class at Jacobs memorial middle school which statement is best supported by the data ?A) the range of the data for Mrs Hamilton's class is

asked Nov 4, 2023 169k views

the dot plots show the heights of the students in two 7th grade class at Jacobs memorial middle school which statement is best supported by the data ?A) the range of the data for Mrs Hamilton's class is greater than the range of the data for Mrs Gorbin's classB) the median of the data for Mrs Gorbin's class is greater than the mean of the data for Mrs Hamilton's classC) the mode of the data for Mrs Gorbin's class is greater than the mode of the data for Mrs Hamilton's class.D) the mean of the data for Mrs Hamilton's class is greater than the mean of the data for Mrs Gorbin's class

the dot plots show the heights of the students in two 7th grade class at Jacobs memorial-example-1

Alba Mendez asked

by Alba Mendez

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Andreas Rossberg · Answer 1 · 2023-11-10T05:32:41+0000

The mean is computed as follows:

$\operatorname{mean}=\frac{\text{ sum of terms}}{\text{ number of terms}}$

The mean of Mrs. Gorbin's class is:

$\begin{gathered} \operatorname{mean}=(2\cdot47+\cdot1\cdot51+5\cdot53+2\cdot55+1\cdot57+3\cdot60+1\cdot65)/(15) \\ \operatorname{mean}=(94+51+265+110+57+180+65)/(15) \\ \operatorname{mean}=(822)/(15) \\ \operatorname{mean}=54.8 \end{gathered}$

The mean of Mrs. Hamilton's class is:

$\begin{gathered} \operatorname{mean}=(1\cdot45+1\cdot51+2\cdot55+3\cdot57+5\cdot60+3\cdot65)/(15) \\ \operatorname{mean}=(45+51+110+171+300+195)/(15) \\ \operatorname{mean}=(872)/(15) \\ \operatorname{mean}\approx58.13 \end{gathered}$

Then, the mean of the data for Mrs. Hamilton's class is greater than the mean of the data for Mrs. Gorbin's class.

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