Arithmetic mean

[selango]

For a certain set of n numbers,where n>1,is the average(arithmetic mean)equal to the median?

1.If the n numbers in the set are listed in increasing order,then the difference between any pair of successive numbers in the set is 2.

2.The Range of n numbers in the set is 2(n-1).

OA later

[outreach]

it is not C.. it should be A

1

if n=3, then numbers are 2,4,6....mean=median
if n=4, then numbers are 2,4,6,8....mean equals median

insuff

2
number of elements in the set not clear
insuff


combined 1 and 2
suff

[kvcpk]

Answer should be A.

1.If the n numbers in the set are listed in increasing order,then the difference between any pair of successive numbers in the set is 2.

This means that the numbers are equidistant from each other. Hence mean=median
SUFF

Range = 2(n-1)

Assume n=3
2(3-1) =4
1,2,5
Range = 4
mean = 6.6
medain = 2
mean not equal to median

2,4,6
Range = 4
Mean = 4
median = 4

Hence INSUFF

pick A

[outreach]

@kvcpk
can u explain with an example number..
as per my knowledge median(number arranged in order of magnitude) = middle num(odd number of elements) or sum of 2 middle num(even number of elements)

am i wrong?

Answer should be A.

1.If the n numbers in the set are listed in increasing order,then the difference between any pair of successive numbers in the set is 2.

This means that the numbers are equidistant from each other. Hence mean=median
SUFF

Range = 2(n-1)

Assume n=3
2(3-1) =4
1,2,5
Range = 4
mean = 6.6
medain = 2
mean not equal to median

2,4,6
Range = 4
Mean = 4
median = 4

Hence INSUFF

pick A

[kvcpk]

@kvcpk
can u explain with an example number..
as per my knowledge median(number arranged in order of magnitude) = middle num(odd number of elements) or sum of 2 middle num(even number of elements)

am i wrong?

Its not the sum of two middle numbers. It is the average of two middle numbers when n is even.


for 2,4,6
mean = 12/3 = 4
Median = middle number = 4

for 2,4,6,8
mean = 20/4 = 5
median = sum of (4+6)/2 = 5

[selango]

OA A