Mathematics, 20.08.2020 14:01 sierram298

A sample of single persons in Towson, Texas, receiving Social Security payments revealed these monthly benefits: $426, $299, $290, $687, $480, $439, and $565. (a) What is the median monthly benefit? (b) Is the mean you computed in (a) a statistic or a parameter? Why?

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Answer from: danibe98r

a) Median Monthly Benefit = $439

b) The mean computed above is a STATISTIC. This is because, the mean of their monthly benefits ($455.14) was calculated from a SAMPLE (which could have been known or random) of single persons in Towson Texas.

Step-by-step explanation:

In the above question, we are given:

: $426, $299, $290, $687, $480, $439, and $565.

a) Median Monthly benefits

First we arrange the monthly benefits from the lowest to the highest

$290, $299, $426, $439, $480, $565, $687

Median Monthly Benefit is the number found in the middle of the Monthly benefits.

We were given 7 monthly benefit

$290, $299, $426,) $439, ($480, $565, $687

The median monthly benefit = $439

(b) Is the mean you computed in (a) a statistic or a parameter? Why?

The Mean Monthly Benefit = Sum of terms/Number of terms

Number of terms = 7

($290 + $299 + $426 + $439 + $480 + $565 + $687)/ 7

= $3186/7

= $455.14285714286

Approximately ≈$455.14

In the question we are asked if the Mean calculated or computed above is a Statistic or a Parameter.

The mean computed above is a STATISTIC. This is because, the mean of their monthly benefits ($455.14) was calculated from a SAMPLE (which could have been known or random) of single persons in Towson Texas.

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

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees

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A sample of single persons in Towson, Texas, receiving Social Security payments revealed these month...