Question

question 5 of 10
these dot plots show the heights (in feet) from a sample of two
different types of elephants.
asian elephants

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
height at the shoulder (ft)
african elephants

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
height at the shoulder (ft)
text description for graph
what are the differences between the centers and spreads of these
distributions?
select two choices: one for the centers and one for the spreads.

a. spreads: the heights of the african elephants are more
spread out.

b. spreads: the heights of the asian elephants are more
spread out.

c. centers: the asian elephants have a lower median height
than the african elephants.

d. centers: the asian elephants have a greater median
height than the african elephants.

Explanation:

To determine the centers (median) and spreads:

• Centers (Median): The dot plot for Asian Elephants is clustered around lower values (peaks at 7 - 9 ft), while African Elephants’ plot is centered higher (peaks at 10 - 12 ft) but wait—wait, no: Wait, Asian Elephants’ dots are from ~6 - 10, African from ~5 - 15? Wait, no, looking at the x - axis: Asian Elephants’ dots start at 6, peak at 7 - 9, and end around 10. African Elephants have dots from 4, peak at 10 - 12, and go to 15. Wait, no, median: For Asian Elephants, the middle value (since dot plots show data points) would be lower? Wait, no—wait, Asian Elephants’ data is more left - shifted? Wait, no, let's count dots. Asian Elephants: Let's assume the dots are, say, at 6,7,7,8,8,8,9,9,9,10,10 (approx). African Elephants: dots at 4,5,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15 (approx). So median (middle value) for Asian is lower? Wait, no—wait, the options: Option C says Asian have lower median, D says greater. Wait, maybe I got it reversed. Wait, Asian Elephants’ dot plot is more concentrated on the left (lower heights: 6 - 10), African on the right (5 - 15, but more spread). Wait, spread: African’s dots are from 4 to 15, Asian from 6 to 10. So African is more spread out (A is correct, B wrong). Centers: Asian’s median is lower than African’s (C is correct, D wrong). So correct choices: A (spread) and C (center). Wait, let's confirm:
• Spread: Range (or interquartile range) for African is larger (from ~4 to 15) vs Asian (~6 to 10), so African is more spread out (A is correct).
• Center (Median): Asian’s median height is lower than African’s (C is correct, as Asian’s data is clustered at lower heights, so middle value is lower).

Answer:

A. Spreads: The heights of the African elephants are more spread out.
C. Centers: The Asian elephants have a lower median height than the African elephants.