If $a < b < c < d$ and the average (arithmetic mean) of $a, b, c$ and $d$ is $m$ , which of the following is true?
$I . a + b < c + d$
$I I . m < d$ and $a < m$
$I I . b < m < c$

I I

only

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

I

only

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

I I I

only

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

I

and

I I

only

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

I I

and

I I I

only

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

Open in App

Solution

The correct option is D $I$ and $I I$ only
The statistical mean refers to the mean or average that is used to derive the central tendency of the data in question.
It is determined by adding all the data points in a population and then dividing the total by the number of points.
The resulting number is known as the mean or the average.
Average Mean $m = \frac{a + b + c + d}{4}$
$\Rightarrow m$ lies between $b$ & $c$
$\Rightarrow a + b < c + d$
Also, $m < d$ and $a < m$

Suggest Corrections

Similar questions

Which of the following graphs represents exothermic reaction ?

(a) Only I
(b) Only II
(c) Only III
(d) I and II

Which of the following series forms an AP?

(i) a – 2d, a – d, a, a + d, a + 2d

(ii)a, a + d, a + 2d, a + 3d, a + 4d

(iii) a – 3d, a – d, , a + d, a + 3d

Area = \frac{b \cdot \sqrt{4 a^{2} - b^{2}}}{4}

Height = \frac{1}{2} \sqrt{4 a^{2} - b^{2}}

If p = n(m+n)(m+n-1)m, which of the following are the factors of p (Given p,n,m are natural numbers).

(i) n

(ii) m

(iii) m-n

(iv) m+n

Join BYJU'S Learning Program