The ages of two groups of karate students are shown in the following dot plots:

a; group a has greater variability in the data.
b; group a has less variability in the data.
c; group b has a lower range.
d; group b has a lower mean.

the mean absolute deviation (mad) for group a is 2.07 and the mad for group b is 5.51. which of the following observations can be made using these data?

Group A has less variability in the data.

Step-by-step explanation: Hope this helps <3  :)

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560