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Recent questions tagged statistics

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31

ISI2020-PCB-10
Let $X_i\sim (i.i.d) Bernoulli(\frac{\lambda}{n}),n\geq\lambda\geq 0$. $Y_i\sim (i.i.d) Poisson(\frac{\lambda}{n})$, $\{X_i\}$ and $\{Y_i\}$ are independent. Let $\sum_{i=1}^{n^2} X_i=T_n$ and $\sum_{i=1}^{n^2} Y_i=S_n$ (say). Find the limiting distribution of $\frac{T_n}{S_n}$ as $n\to \infty$.

sd4867 asked in Probability May 6, 2022

by sd4867

237 views

2 votes

1 answer

32

GATE Civil 2022 Set 1 | GA Question: 8
The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one of the following is $\text{CORRECT}$? mean > mode > median mode > median> mean mode > mean > median median > mode > mean

Arjun asked in Quantitative Aptitude Feb 15, 2022

by Arjun

962 views

1 vote

1 answer

33

NIELIT Scientific Assistant A 2020 November: 61
Find the mode of the following data: ... $20.22$ $19.47$ $21.12$ $20.14$

gatecse asked in Quantitative Aptitude Dec 9, 2020

534 views

2 votes

1 answer

34

NIELIT 2016 MAR Scientist B - Section B: 17
Following marks are obtained by the students in a test: $81,72,90,90,86,85,92,70,71,83,89,95,85,79,62$. Range of the marks is $9$ $17$ $27$ $33$

admin asked in Probability Mar 31, 2020

by admin

665 views

1 vote

1 answer

35

GATE Overflow | General Aptitude | Test 2 | Question: 2
Naveen wrote down all the different three-digit numbers that can be written using each of the numeral 1, 2 and 3 exactly once. What is the median of the numbers Naveen wrote down?

Arjun asked in Quantitative Aptitude Jun 9, 2019

by Arjun

463 views

4 votes

2 answers

36

GATE Overflow | Mock GATE | Test 1 | Question: 44
For two data sets, each of size $5$, the variances are given to be $4$ and $5$ and the corresponding means are given to be $2$ and $4$ respectively. The variance of the combined data is? $11/2$ $6$ $13/2$ $5/2$

Ruturaj Mohanty asked in Probability Dec 27, 2018

by Ruturaj Mohanty

960 views

2 votes

3 answers

37

GATE Overflow | Mock GATE | Test 1 | Question: 53
A class of first year B.tech students is composed of four batches A, B, C and D, each consisting of $30$ students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of $6.6$ and standard deviation of $2.3$. ... this, the marks of a student in batch C are changed from $8.5$ to $8.75$ $7.45$ $9.27$ $8.97$

Ruturaj Mohanty asked in Probability Dec 27, 2018

by Ruturaj Mohanty

1.4k views

5 votes

1 answer

38

GATE2017 CE-1: GA-5
The following sequence of numbers is arranged in increasing order: $1,x,x,x,y,y,9,16,18$. Given that the mean and median are equal, and are also equal to twice the mode, the value of $y$ is $5$ $6$ $7$ $8$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

by Milicevic3306

2.2k views

1 vote

1 answer

39

Previous Gate
The second moment of a Poisson-distributed random variable is 2. The mean of the variable is .... My question on solving we get 2 values of lamda(ie mean) .One is -2 and the other is 1 .So which one to choose?

Kalpataru Bose asked in Mathematical Logic Nov 23, 2017

by Kalpataru Bose

4.7k views

1 vote

0 answers

40

Finding minima of function.
For what value of 'k' (in terms of $X_{i}$'s) following functions will attain their minimum value $\rightarrow$ $F_{1}(k)$ = $\sum_{i=0}^{n} \left | X_{i} - k \right |$ $F_{2}(k)$ = $\sum_{i=0}^{n}\left ( X_{i} - k \right )^{2}$ If possible, please provide some valid proof for supporting your answer ?

Chhotu asked in Probability Nov 11, 2017

by Chhotu

273 views

0 votes

1 answer

41

Doubt
the harmonic mean of two positive integers p and q is 3, given that [ (6p+1)/(7q-4) ] <(p/q), what could be the value of q? a)q<=4 b)q>9 c)q<8 d)q>=13

Angkit asked in Quantitative Aptitude May 15, 2017

by Angkit

651 views

5 votes

1 answer

42

GATE2017 ME-1: GA-4
In a company with $100$ employees, $45$ earn $Rs. 20,000$ per month, $25$ earn $Rs. 30000$, $20$ earn $Rs. 40000$, $8$ earn $Rs. 60000$, and $2$ earn $Rs. 150,000$. The median of the salaries is $Rs. 20,000$ $Rs. 30,000$ $Rs. 32,300$ $Rs. 40,000$

Arjun asked in Quantitative Aptitude Feb 26, 2017

by Arjun

1.3k views

8 votes

2 answers

43

GATE2016 ME-2: GA-6
Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluated out of $200$ marks. It was observed that the mean of group P was $105$, ... students of group Q scored marks in a narrower range than students in group P. The median of the marks of group P is $100$.

makhdoom ghaya asked in Quantitative Aptitude Jan 20, 2017

by makhdoom ghaya

3.4k views

2 votes

3 answers

44

Test by Bikram | Mock GATE | Test 1 | Question: 24
The internet host is roughly doubling in size every $18$ $months$. Although no one really knows for sure, one estimate put the number of hosts on it at $7$ million in January $1996$. Using these data the expected number of internet hosts in January $2008$ is _____ billion.

Bikram asked in Probability Jan 16, 2017

by Bikram

849 views

2 votes

1 answer

45

Standard Deviation

KISHALAY DAS asked in Probability Oct 22, 2016

by KISHALAY DAS

1.1k views

4 votes

3 answers

46

ISRO2014-74
What is the median of data if its mode is $15$ and the mean is $30?$ $30$ $25$ $22.5$ $27.5$

Aryan asked in Probability Jun 27, 2016

by Aryan

4.7k views

4 votes

2 answers

47

ISRO2009-65
If the mean of a normal frequency distribution of $1000$ items is $25$ and its standard deviation is $2.5,$ then its maximum ordinate is $\frac{1000}{\sqrt{2 \pi} } e^{-25}$ $\frac{1000}{\sqrt{2 \pi} }$ $\frac{1000}{\sqrt{2 \pi} } e^{-2.5}$ $\frac{400}{\sqrt{2 \pi} }$

go_editor asked in Probability Jun 15, 2016

3.5k views

11 votes

6 answers

48

GATE2014 EC-1: GA-4
The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four? ... $K$ $L$ $M$ $N$

makhdoom ghaya asked in Quantitative Aptitude Mar 18, 2016

by makhdoom ghaya

5.4k views

7 votes

2 answers

49

GATE2012 AE: GA-5
The arithmetic mean of five different natural numbers is $12$. The largest possible value among the numbers is $12$ $40$ $50$ $60$

Akash Kanase asked in Quantitative Aptitude Feb 15, 2016

by Akash Kanase

3.0k views

1 vote

1 answer

50

Subject Topic- Probability
what is positively skewed ,symmetric and negatively skewed distribution?

Amey asked in Probability Dec 25, 2015

by Amey

965 views

7 votes

2 answers

51

TIFR CSE 2015 | Part A | Question: 15
Let $A$ and $B$ be non-empty disjoint sets of real numbers. Suppose that the average of the numbers in the first set is $\mu_{A}$ and the average of the numbers in the second set is $\mu_{B}$; let the corresponding variances be $v_{A}$ and $v_{B}$ respectively. If the average of the ... $p.v_{A}+ (1 - p). v_{B} + (\mu_{A}- \mu_{B})^{2}$

makhdoom ghaya asked in Quantitative Aptitude Dec 5, 2015

by makhdoom ghaya

1.1k views

4 votes

2 answers

52

statistics
Q) Let $x$ be normal variable with mean $8$ and standard deviation $4$ then $p(X\leq5)$ is A). Greater than zero but less than $0.5$ B). Greater than $0.75$ C). Greater than $0.5$ but less than $1$ D). Equal to $0.5$

richa116 asked in Probability Dec 3, 2015

1.1k views

18 votes

2 answers

53

GATE CSE 2012 | Question: 64
Which of the following assertions are CORRECT? P: Adding $7$ to each entry in a list adds $7$ to the mean of the list Q: Adding $7$ to each entry in a list adds $7$ to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the ... entry in a list leaves the standard deviation of the list unchanged $P$, $Q$ $Q$, $R$ $P$, $R$ $R$, $S$

gatecse asked in Quantitative Aptitude Sep 29, 2014

6.0k views

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Recent questions tagged statistics