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3 years ago

Find the mean median and mode of the data set round tenth 15 , 4 , 4, 8, 7 ,15 ,4 ,15,4 ,5

Mathematics

2 answers:

Igoryamba3 years ago

8 0

Hello!

First, let's find the mean. We add up all of our numbers and divide by the number of numbers.

15+4+4+8+7=15+4+15+4+5=81

81/10=8.1

Therefore, our mean is 8.1.

Now we need to find the median. To do so, we first order our numbers from least to greatest.

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

Now we need to find the middle number. As there are 10 numbers, we find the mean of the two middle numbers, which are 5 and 7.

5+12

12/2=6

Therefore, our median is 6.

Now, we need to find the mode. This is the number that appears the most. As you can see, 4 appears the most.

Therefore, 4 is our mode.

I hope this helps!

Viefleur [7K]3 years ago

3 0

Mean is the average. To calculate mean, add all the numbers and divide by how many numbers there are.

$15 + 4 + 4 + 8 + 7 + 15 + 4 + 15 + 4 + 5 = 81$

There are 10 numbers. Divide by 10

$81 \div 10 = 8.1$

The mean is 8.1

Median is the middle number when ordered from least to greatest. Order the numbers:

$4, 4, 4, 4, 5, 7, 8, 15, 15, 15$

The 2 middle numbers are 5 and 7. Add them together and divide by 2

$7 + 5 = 12 \\ 12 \div 2 = 6$

The median is 6

Mode is the number that appears most often.

$4 \rightarrow 4\ times \\ 5 \rightarrow 1\ time \\ 7 \rightarrow 1\ time \\8 \rightarrow 1\ time \\ 15 \rightarrow 3\ times$

4 appears the most. The mode is 4

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tiny-mole [99]

Ok, so the question is based on geometric progression. Remember, the formula for calculating the nth-term of a geometric progression is: $a*r^{n-1}$ . The a in the expression stands for the 1st term of the sequence, and r is the common ratio of the elements of the sequence. Now let's take a look at the problem.

"A ping pong ball has a 75% rebound ration". We can infer that our common ratio, r, is 75% which is 0.75.

"When you drop it from a height of k feet...", this means the first height you drop it from, a.k.a, the first term.

Now going back to the expression, the nth-term = $a*r^{n-1}$ , we can substitute our common ration, 0.75 with r, and our 1st term, k, with a. This becomes: $k * 0.75^{n-1}$ . This becomes our expression.

a. The highest height achieved by the ball after six bounces. Our nth-term here is 6, so let's use our expression to find the 6th term. $n_{6} = 235 * 0.75^{6-1} = 235*0.75^{5} = 235*0.2373 = 55.7655ft$

b. The total distance travelled by the ball when it strikes the ground for the 12th time. This involves the use of the sum of elements in the geometric progression. The formula for that is $\frac{a(1 - r^{n})}{1-r}$ , provided that r is less than 1, which it is in this case, since 0.75 is less than one. Our nth-term here is 12, so we substitute.