Mathematics, 25.05.2021 23:00 Ameilasmickle15

I WILL GIVE TO CORRECT ANSWER Which statement best describes the mean of the data listed below?
10, 7, 9, 5, 8, 6, 7, 3, 10, 5, 7

The middle value of the ordered data set is 7.

The value that occurs most often in the set is 7.

The difference between the smallest value and the largest value is 7.

The sum of all the data values divided by the number of data values is 7.

Answers: 1

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Answers

Answer from: allytrujillo20oy0dib

The sum of all the data values divided by the number of data values is 7.

Explaination:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Answer from: tiffany1711

The last one

Step-by-step explanation:

We know that the mean is 7, what we are trying to identify is which situation correctly describes how to find the mean.

Define

Mean = Sum of values divided by number of data values

Reasoning

For "The middle value of the ordered data set is 7."

The middle value is known as the median not mean therefore this answer is not correct.

For "The value that occurs most often in the set is 7."

The number that occurs the most is known as the mode not the mean therefore this is not the correct answer

For " The difference between the smallest value and the largest value is 7.

The difference between the smallest and largest number is known as the range therefore this answer is not correct.

We're left with "The sum of all the data values divided by the number of data values is 7." which does indeed correctly describe how to find the mean.

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Answer from: Quest

8/k

step-by-step explanation:

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I WILL GIVE TO CORRECT ANSWER Which statement best describes the mean of the data listed below?