Which measure of center is most appropriate for this situation and what it’s value ?

Median; 4

Step-by-step explanation:

The terms are 0, 24, 1, 4, 5, 2, 5, 4.

In Ascending order,

0, 1, 2, 4, 4, 5, 5, 24

The number of terms ( n ) = 8

Since, n = 8 ( even number )

There is a formula to find median for even number of terms.

Median ( even number ) =  [(n/2)th term + {(n/2) + 1}th term] / 2

n/2 th term

= 8/2 th term

= 4 th term

= 4 th term in the ascending order

= 4

(n/2) + 1 th term

= 4 + 1 th term

= 5 th term

= 5 th term in the ascending order

= 4

[(n/2)th term + {(n/2) + 1}th term] / 2

= [ 4 + 4 ] / 2

= 8/2

= 4

Therefore,

The measure of center is most appropriate for this situation is Median

and its value is 4.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

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 , to get to , we add

from , to get to , we add

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

, and for

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