These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
Town B
35 40 45 48
0 5 10 15 20 25 grees (F) 40 45 50 55 60
Text description for graph
Which statement is the most appropriate comparison of the centers?
A. The median for town A, 15, is greater than the median for town B,
2
B. The median temperature for both towns is 40°
C. The median for town A, 30°, is less than the median for town B.
40%
D. The mean for town A, 30°, is less than the mean for town B, 40°.

Question

contestada

Respuesta :

100nikanishka 100nikanishka · Answer 1 · 2024-04-02T05:06:53+02:00

Answer:

Step-by-step explanation:

For Town A:

Median: 30°

Mean: (15 + 20 + 30 + 40 + 45) / 5 = 30°

For Town B:

Median: (45 + 48) / 2 = 46.5°

Mean: (0 + 5 + 10 + 15 + 20 + 25 + 40 + 45 + 50 + 55 + 60) / 11 = 30°

Now let's compare the options:

A. The median for town A, 30°, is less than the median for town B.

False. The median for town A, 30°, is actually greater than the median for town B, which is 46.5°.

B. The median temperature for both towns is 40°.

False. The median temperature for town A is 30° and for town B is 46.5°.

C. The median for town A, 30°, is less than the median for town B.

False. As mentioned earlier, the median for town A is actually greater than the median for town B.

D. The mean for town A, 30°, is less than the mean for town B, 40°.

False. Both towns have the same mean temperature of 30°.

Therefore, the most appropriate comparison of the centers is:

B. The median temperature for both towns is 40°.