Which number can be removed from the following list of data so that the median will remain the same?

Mathematics

2 answers:

Anestetic [448]3 years ago

8 0

B) you can remove 55 and it'll stay the same

solmaris [256]3 years ago

6 0

Median is the number in the middle when arranged in numerical order
32,46,50,55,60,71,80
median is currently 55
if there is an odd number of numbers, we have to take the average of the ones in the middle

find a and b that are next to each other such that their average is 55
50 and 60 average is 55
so take out 55

answer is B

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The sutton police department must write, on average, 6 tickets a day to keep department revenues at budgeted levels. suppose the

lakkis [162]

The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then
$P(k \, events) = e^{-\lambda } ( \frac{\lambda ^{k}}{k!} )$

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is
$P(k \, tickets/day)=e^{-6.5} ( \frac{6.5 ^{k}}{k!} )$
The distribution is graphed as shown below.

Answer:
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.