Statistics › Mean and averages › Arithmetic, geometric and harmonic means

Median of consecutive integer sets

High school · ●●○○○ 20 pts

Let

a

,

b

, and

c

be integers with

a < b < c

. Let

S

be the set of all integers from

a

to

b

, inclusive, and

Q

the set of all integers from

b

to

c

, inclusive. The median of

S

is

\frac{3}{4}b

and the median of

Q

is

\frac{7}{8}c

. Let

R

be the set of all integers from

a

to

c

, inclusive. What fraction of

c

is the median of

R

? Give your answer as a decimal.

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