Question

SOMEONE PLEASE HELP! A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. 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.

Answer 1

Note: You may have missed to add the dot plots chart, so I found the chart after a little research and hence, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.

Answer:

''The median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.

Explanation:

Data for students from the dot plot in order

`0,\:0,\:1,\:1,\:1,\:1,\:2,\:2,\:2,\:2,\:2,\:2,\:2,\:3,\:3,\:3,\:3,\:3,\:4,\:4`

Calculating Median for students:

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

As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 2 and 2, so the median is the average of these two numbers:

Median = (2+2)/2

=4/2

= 2

Data for teachers from the dot plot in order

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

Calculating Median for teachers:

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

As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 3 and 3, so the median is the average of these two numbers:

Median = (3+3)/2

=6/2

= 3

Therefore, ''the median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.