The dot plots below show the results. Students

Teachers

Which compares the medians of the data?
The median for the students is 4 and the median for the teachers is 8.
The median for the students is 2 and the median for the teachers is 3.
The median for the students is 4 and the median for the teachers is 3.
The median for the students is 2 and the median for the teachers is 8.

The median for the students is 2 and the median for the teachers is 3.

Step-by-step explanation:

Ordering the data for the students from the dot points:

0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4.

n = 20 which is positive so median position is average of:

= (n / 2)                                     and                                = (n + 1) / 2

= 20 / 2                                                                           = 21 / 2

= 10                                                                                 = 10.5

2 is in position 10                                                         2 is in position 10.5

Average = (2 + 2) / 2 = 2

Student median is 2.

Teachers

0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8

3 is in position 10 as well as in position 10.5.

= (3 + 3) / 2

= 3

Teacher median is 3.

(In attachment, teacher plot is first and then the student follows)

the image of (6, 9) under a dilation is (4, 6). the scale factor is

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