KCET · Maths · Application of Derivatives
The mean deviation from the data \( 3,10,10,4,7,10,5 \) :
- A \( 03 \)
- B \( 12 \)
- C \( 3.75 \)
- D \( 2.57 \)
Answer & Solution
Correct Answer
(D) \( 2.57 \)
Step-by-step Solution
Detailed explanation
Given that,
\(\bar{x}=\frac{3+10+10+4+7+10+5}{7}-\frac{49}{7}=7\)
Deviations is given by,
\(|3-7|=4,|10-7|=3,|10-7|=3\)
\(|4-7|=3,|7-7|=0,|10-7|=3,|5-7|=2\)
So, mean deviation is given by,
\(\frac{4+3+3+3+0+3+2}{7}=\frac{18}{7}=2.57\)
\(\bar{x}=\frac{3+10+10+4+7+10+5}{7}-\frac{49}{7}=7\)
Deviations is given by,
\(|3-7|=4,|10-7|=3,|10-7|=3\)
\(|4-7|=3,|7-7|=0,|10-7|=3,|5-7|=2\)
So, mean deviation is given by,
\(\frac{4+3+3+3+0+3+2}{7}=\frac{18}{7}=2.57\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(\sin ^{-1} a\) is the acute angle between the curves \(x^{2}+y^{2}=4 x\) and \(x^{2}+y^{2}=8\) at \((2,2)\), then \(a\) is equal toKCET 2013 Hard
- The equation \(\frac{x^{2}}{2-\lambda}-\frac{y^{2}}{\lambda-5}-1=0\) represents an ellipse, ifKCET 2008 Easy
- \(\mathrm{p} \rightarrow \sim \mathrm{q}\) can also be written asKCET 2012 Easy
- The standard deviation of the data \(6,7,8,9\), 10 isKCET 2020 Easy
- If \(A M\) and \(G M\) of roots of a quadratic equation are 5 and 4 , respectively, then the quadratic equation isKCET 2024 Easy
- If the length of the subtangent at any point to the curve \(x y^{n}=a\) is proportional to the abscissa, then \(n\) isKCET 2013 Medium
More PYQs from KCET
- The upper level of valence band and lower level of conduction band overlap in the case ofKCET 2024 Medium
- Consider the following statements :
(a) If any two rows or columns of a determinant are identical, then the value of the determinant
is zero.
(b) If the corresponding rows and columns of a determinant are interchanged, then the value of
the determinant does not change.
(c) If any two rows (or columns) of a determinant are interchanged, then the value of the
determinant changes in sign.
Which of these are correct ?KCET 2014 Easy - The real value of ' \(\alpha\) ' for which \(\frac{1-i \sin \alpha}{1+2 i \sin \alpha}\) is purely real isKCET 2024 Medium
- A solid sphere of mass \(m\) rolls down an inclined plane without slipping, starting from rest at the top of an inclined plane. The linear speed of the sphere at the bottom of the inclined plane is \(v\). The kinetic energy of the sphere at the bottom isKCET 2011 Hard
- The area bounded by the curve \(y=\sin \left(\frac{x}{3}\right), x\) axis, the lines \(x=0\) and \(x=3 \pi\) isKCET 2025 Easy
- Identify the odd one from the followingKCET 2018 Easy