Which of the following sets of scores has the least variability? a. 5, 7, 8, 9, 12, 13 b. 16, 17, 18, 19, 20 c. 20, 22, 25, 30,31 d. 1, 2, 3, 10, 11, 12

The set "b" has the least variability

b. 16, 17, 18, 19, 20

Step-by-step explanation:

Variability of set of datas can be measured based on any of their measures of central tendency i.e mean, median, mode and range. Using range as our measure of variability.

Range is gotten by taking the difference between the highest value and the lowest value of set of datas. The value with lowest value of range will be the one that has lowest variability.

For set a, the range will be 13-5 = 8

For set b, the range will be 20-16=4

For set c, the range will be 31-20= 11

For set d, the range will be 12-2 = 11

According to the range of each set, set b has the least range and as such will have the least variability

step-by-step explanation:

given perimeter: 28cm

length: 9cm

atp,

2(l+w)=p of the reactangle

2(9+x)=28

18+2x=28

2x=28-18

x=10/2

x=5

therefore width is 5 cm

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