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A group of researchers from the University of California, Los Angeles (UCLA) collected data on two...

A group of researchers from the University of California, Los Angeles (UCLA) collected data on two different types of ants chosen for their foraging strategies, thatch and seed‑harvester. Four back‑to‑back stem‑and‑leaf plots are provided that compare the weight in milligrams (mg) of the amount of food that each ant was recorded carrying. Each stem‑and‑leaf plot represents a different size classification of the ants.

Match the statements that accurately compare the back‑to‑back stem‑and‑leaf plots of the two types of ants.

Small sized
Thatch Seed
22 99
8686 33 45667884566788
988441988441 44 000234557000234557
986533300986533300 55 00040004
99641119964111 66 11451145
55 77
Medium sized
Thatch Seed
33 189189
44 2345568923455689
55 011222349011222349
76547654 66 2525
955540955540 77 1212
9776110097761100 88 22
5111051110 99
3232 1010
Large sized
Thatch Seed
33 88
44 5778857788
55 0223447802234478
66 1345566613455666
77 029029
733733 88
976553331976553331 99
9866433098664330 1010
84008400 1111
22 1212
Extra-large sized
Thatch Seed
7474 88 6969
99
984420000984420000 1010 0445799904457999
1111
9766521097665210 1212 1336669913366699
1313
5555 1414 00

The median amount of food
that the thatch ants carried
is 10 mg10 mg more than the
median for seed‑harvester ants.

The standard deviation for
seed harvester ants is
greater than the standard
deviation for thatch ants.

The first and third quartiles
for the thatch ants are approximately
equal to the first and third quartiles
for the seed‑harvester ants.

All of the thatch ants
carried more food than all
of the seed‑harvester ants.

math   Statistics-And-Probability   
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Answer #1

Small sized\small \rightarrow The median amount of food that the thatch ants carried is 10 mg more than the median for seed-harvester ants

Medium sized\small \rightarrow The standard deviation for seed harvester ants is greater than the standard deviation for thatch ants.

Large sized -> All of the thatch ants carried more food than all of the seed‑harvester ants.

Extra-large sized -> The first and third quartiles for the thatch ants are approximately equal to the first and third quartiles for the seed‑harvester ants.

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