A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack
2 answers:
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Answer:
b
Step-by-step explanation:
We need to find the median of:-
73 75 87 65 69 62 81 64 68 101 74 71 89 87
First, we need to arrange the numbers in ascending order as below:-
62, 64, 65, 68, 69, 71, 73, 74, 75, 81, 87, 87, 89, 101
Since there are a total of 14 numbers, let's split it up into two halves (each of seven numbers)
62, 64, 65, 68, 69, 71, 73 ||| 74, 75, 81, 87, 87, 89, 101
The median would be the mean of the two middle numbers i.e. the mean of 73 and 74
Median =
=
= 73.5
So, about half of the students spent less than 73.5 minutes doing homework and about half spent more than 73.5 minutes on homework
Answer:
A score of 314 is needed to be in the top 25% of students who take this exam.
Step-by-step explanation:
We are given that one of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In recent years, the national mean score was 289 and the standard deviation was 37.
Let X = <u><em>scores of the tests provided by the NAEP</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = national mean score = 289
= standard deviation = 37
Now, we have to find how high a score is needed to be in the top 25% of students who take this exam, that means;
P(X > x) = 0.25 {where x is the required score}
P( >
) = 0.25
P(Z > ) = 0.25
In the z table, the critial value of z that represents the top 25% of the area is given as 0.6745, that is;
x = 289 + 24.96 = 313.96 ≈ 314
Hence, a score of 314 is needed to be in the top 25% of students who take this exam.