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White raven [17]
3 years ago
6

Find the mean, median, and mode of the data set. Round to the nearest tenth. 15, 1, 4, 4, 8, 7, 15, 4, 15, 4, 5

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

Answer:

Median: 4.5

Mode: 4

Mean: 6.7

Step-by-step explanation:

First lets find the median, the number in the middle. To do this we need to put this data set in ascending order

1,4,4,4,4,5,7,8,15,15

The two numbers in the middle are 4 and 5. Now we must add these two numbers together and then divide by 2.

\frac{4+5}{2} =\frac{9}{2} =4.5

Nexte lets find the mode, the number that occurs the most. 4 appears 4 times, which is the greatest amount.

Now lets find the mean. First we need to find the sum of these 10 numbers

1+4+4+4+4+5+7+8+15+15=67

Next we have to divide by the number of data points, which is 10

\frac{67}{10} =6.7

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I hope this what you were asking

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You have been told that you need $21,600 today in order to have $100,000 when you retire 42 years from now. what rate of interes
Savatey [412]
You will have to use this formula:
<span>log(1 + rate) = {log(total) -log(Principal)} ÷ Years
</span>log(1 + rate) = {log(100,000) -log(21,600)} <span>÷ </span><span>Years
</span>log(1 + rate) = { 5 -4.3344537512} / Years
log(1 + rate) = <span> <span> <span> { 0.6655462488} / 42
</span></span></span>log(1 + rate) = <span> <span> <span> 0.0158463393 </span> </span> </span>
1 + rate = 10^<span> <span> 0.015846339
</span></span><span>1 + rate = </span>1.0371613856
rate = .0371613856<span>
rate = </span><span>3.71613856%

</span>************************************************************************
Double-Check
Total = principal * (1 +rate)^years
Total = 21,600 * (<span>1.0371613856)^42
</span> <span>Total = 21,600 * </span> <span> <span> <span> 4.6296296291 </span> </span> </span> <span><span> </span> </span> 
Total = 100,000

Correct !!


5 0
3 years ago
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