The data set represents the number of minutes dan spent on his homework each night. 30, 35, 35, 45, 46, 46, 52, 55, 57 which box plot correctly represents the data? answer is (a)

A box plot of the data is attached.

Step-by-step explanation:

In order to construct a box plot, you must find the five-number summary.  This is the:

Minimum

Maximum

Q1

Median (or Q2)

Q3

First we order the numbers from least to greatest.  This is already done for us:  30, 35, 35, 45, 46, 46, 52, 55, 57

For our box plot, we must have a number line that goes from at least the smallest value (30) to at least the highest (57).  We draw this.

Next we find the median, or middle value.  This is 46.  We draw a line out from 46 on our number line.  This will be inside the box.

Next we find Q1, the lower quartile.  This is the middle of the lower half of data (below the median).  This will be between 35 and 35, or 35.  We draw a line out from 35 on our number line.  This is one side of the box.

Next we find Q3, the upper quartile.  This is the middle of the upper half of data (above the median).  This will be between 52 and 55, or (52+55)/2 = (107/2) = 53.5.  We draw a line out from 53.5 on our number line.  This is the other side of the box.  We use these two sides to complete the box.

Next we draw a "whisker" out from the lowest value, 30, and out from the highest value, 57.  We connect these to the box and our box plot is complete.

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step-by-step explanation: