BlueOtaku3399 BlueOtaku3399
  • 21-08-2020
  • Mathematics
contestada

A certain list consists of 3 different numbers. Does the median of the 3 numbers equal the average (arithmetic mean) of the 3 numbers

Respuesta :

hopemichael95
hopemichael95 hopemichael95
  • 25-08-2020

Answer:

Yes

Step-by-step explanation:

Let the numbers be p q r such that p>q>r

So p + q + r = 3q

2q = p+ r

And q< p but q> c,

So by Solving this would give

q= (p+ r)/2

so q is the mean of p & r.

Since the only other number that fits is q,

Then q is the mean of the numbers p,q,r

As so q is also the median of this set

Thus proving that the mean is the same as the median.

Answer Link

Otras preguntas

Which of the following was NOT a benefit of railroad construction in the economy of Texas? a. Railroad construction allowed for the movement of goods and people
What is a "respuesta?"
Eleanor and Max used two rectangular pecies of plywood, placed end-to-end, to make a long rectangular stage for the school play. One board was 4 feet long and t
if 237.5 g of lead (II) oxide are produced in the following reaction, how many liters of oxygen are produced at STP2Pb(NO3)2 --> 2PbO + 4NO2 + O2
why is 16 : 12 and 40 : 30 equivalent?
Solve for k, please! 2(k − 5) = 12
10+4x = 5(x−6)+ 33 solve for x
first three terms of a sequence are given. Round to the nearest thousand (if necessary) 152,149,146... Find the 30th term
The following are disadvantages of asexual reproduction
3x6-(1+3 with an exponent of 2)