If a variable takes the discrete values - -4- - -7-2- - -5-2- - -3- - -2- - -1-2- -1-2- -5 - - 0 - then the median of these values is

The correct option is A α 5/4 On arranging the values in the ascending order #160; #160;α #160; 7/2,α #160; 3,α #160; 5/2,α #160; 2,α #160 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Median

If a variable...

Question

If a variable takes the discrete values $α + 4$ , $α - \frac{7}{2}, α - \frac{5}{2}, α - 3, α - 2, α + \frac{1}{2}, α - \frac{1}{2}, α + 5 (α > 0),$ then the median of these values is

α - \frac{5}{4}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

α - \frac{1}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

α - 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

α + \frac{5}{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $α - \frac{5}{4}$
On arranging the values in the ascending order
$α - \frac{7}{2}, α - 3, α - \frac{5}{2}, α - 2, α - \frac{1}{2}, α + \frac{1}{2}, α + 4, α + 5 (∵> 0)$
Here $n = 8 (e v e n)$
Median $= \frac{1}{2} [(\frac{n}{2}) t h o b s e r v a t i o n + (\frac{n}{2} + 1) t h o b s e r v a t i o n]$
$= \frac{1}{2} [4^{t h} t e r m + 5^{t h} t e r m]$
$= \frac{1}{2} [(α - 2) + (α - \frac{1}{2})]$
$= α - \frac{5}{4}$

Suggest Corrections

Similar questions

Q. If a variable takes the discrete values

α + 4, α - \frac{7}{2}, α - \frac{5}{2}, α - 3, α - 2, α + \frac{1}{2}, α - \frac{1}{2}, α + 5 (α > 0)

then the median is

Q. If a variable takes the discrete values

α + 4, α - \frac{7}{2}, α - \frac{5}{2}, α - 3, α - 2 α + \frac{1}{2}, α - \frac{1}{2}, α + 5 (α > 0),

then the median is

Q. If

α

is non-real and

α = \sqrt[5]{1},

then the value of

2^{∣ ∣ 1 + α + α^{2} + α^{3} - α^{- 1} - α^{- 2} ∣ ∣}

is equal to

Two lines $L_{1} : x = 5, \frac{y}{3 - α} = \frac{z}{- 2}$ and $L_{2} : x = α, \frac{y}{- 1} = \frac{z}{2 - α}$ are coplanar. Then, $α$ can take value(s)

Q. If

α

is nonreal and

α = \sqrt[5]{1}

then the value of

2^{| 1 + α + α^{2} + α^{3} + α^{- 1} |}

is equal to

Join BYJU'S Learning Program

If a variable takes the discrete values α+4, α−72,α−52,α−3,α−2,α+12,α−12,α+5(α>0), then the median of these values is

The correct option is A α−54On arranging the values in the ascending order α−72,α−3,α−52,α−2,α−12,α+12,α+4,α+5(∵>0)Here n=8(even)Median =12[(n2)thobservation +(n2+1)thobservation ]=12[4thterm+5thterm]=12[(α−2)+(α−12)]=α−54

If a variable takes the discrete values $α + 4$ , $α - \frac{7}{2}, α - \frac{5}{2}, α - 3, α - 2, α + \frac{1}{2}, α - \frac{1}{2}, α + 5 (α > 0),$ then the median of these values is