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White raven [17]
2 years ago
5

What is the means-to-MAD ratio of the two data sets, expressed as a decimal?

Mathematics
1 answer:
stira [4]2 years ago
7 0
The correct answer for the question that is being presented above is this one: 
<span>
To find the mean of a set, add up all of the numbers and divide by how many numbers you have. For the first set:
</span>u = (10.7+2.4)/2 = 6.55
For the second set:
u = (13.7 + 2.5)/2 = 8.1

<span>To find the mean absolute deviation, (MAD) find the mean of the distances of each number from the mean.
</span>First set:
MAD = (|10.7-6.55| + |2.4-6.55|)/2 = 4.15
Second set:
<span>MAD = (|13.7-8.1| + |2.5-8.1|)/2 = 5.6</span>

The means-to-MAD ratio is simply that, divide one by the other and that's it.
For the first set:
6.55 / 4.15 = 1.57831325
For the second set:
8.1 / 5.6 = 1.44642857

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John runs a computer software store. Yesterday he counted 123 people who walked by the store, 56 of whom came into the store. Of
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Answer:

a) There is a 45.53% probability that a person who walks by the store will enter the store.

b) There is a 41.07% probability that a person who walks into the store will buy something.

c) There is a 18.70% probability that a person who walks by the store will come in and buy something.

d) There is a 58.93% probability that a person who comes into the store will buy nothing.

Step-by-step explanation:

This a probability problem.

The probability formula is given by:

P = \frac{D}{T}

In which P is the probability, D is the number of desired outcomes and T is the number of total outcomes.

The problem states that:

123 people walked by the store.

56 people came into the store.

23 bought something in the store.

(a) Estimate the probability that a person who walks by the store will enter the store.

123 people walked by the store and 56 entered the store, so T = 123, D = 56.

So

P = \frac{D}{T} = \frac{56}{123} = 0.4553

There is a 45.53% probability that a person who walks by the store will enter the store.

(b) Estimate the probability that a person who walks into the store will buy something.

56 people came into the store and 23 bought something, so T = 56, D = 23.

So

P = \frac{D}{T} = \frac{23}{56} = 0.4107

There is a 41.07% probability that a person who walks into the store will buy something.

(c) Estimate the probability that a person who walks by the store will come in and buy something.

123 people walked by the store and 23 came in and bought something, so T = 123, D = 23.

So

P = \frac{D}{T} = \frac{23}{123} = 0.1870

There is a 18.70% probability that a person who walks by the store will come in and buy something.

(d) Estimate the probability that a person who comes into the store will buy nothing.

Of the 56 people whom came into the store, 23 bought something. This means that 56-23 = 33 of them did not buy anything. So:

D = 33, T = 56

P = \frac{D}{T} = \frac{33}{56} = 0.5893

There is a 58.93% probability that a person who comes into the store will buy nothing.

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