Statistics and probability - class-X
Description: statistics and probability | |
Number of Questions: 50 | |
Created by: Amit Pandey | |
Tags: maths measures of dispersion economics statistics and probability |
The measure of dispersion is
The measure of dispersion is
Which one is correct?
Statement 1:Positional measure of dispersion describes about the position that a particular data value has within a data set.
Statement 2:Quartiles and percentiles are positional measure of dispersion.
If $\sum\limits _{i = 1}^9 {\left( {{x _i} - 5} \right) = 9}$ and $\sum\limits _{i = 1}^9 {{{\left( {{x _i} - 5} \right)}^2}} = 45$, then the standard deviation of the $9$ items ${x _1},{x _2},.....,{x _9}$ is
What are the advantages of squaring a difference for calculating variance and standard deviation?
Which of the following are positional measure of dispersion?
If the coefficient of variation and standard deviation of a distribution are 50% and 20 respectively, then its mean is
The sum of squares of deviations for $10$ observations taken from mean $50$ is $250 $. Then Co-efficient of variation is
The Coefficient of Variation is given by:
If mean of a series is 40 and variance 1486, then coefficient of variation is
If the coefficient of variation and standard deviation of a distribution are 50% and 20 respectively, the its mean is
The sum of the squares of deviation of 10 observations from their mean 50 is 250, then coefficient of varition is
The sum of the squares of deviation of 10 observations from their mean 50 is 250, then coefficient of variation is
The mean of a distribution is 4. If its coefficient of variation is 58%. Then the S.D. of the distribution is
For the given data, SD = 10, AM = 20, the coefficient
of variation is____
For the given data, SD $= 10$, AM $= 20$ the coefficient of variation is ...........
The mean of a distribution is $14$ and standard deviation is $5$. What is the value of the coefficient of variation?
If the standard deviation of a set of scores is $1.2$ and their mean is $10$, then the coefficient of variation of the scores is
If $n=10, \bar{x}=12$ and $\sum x^2=1530$, then calculate the coefficient of variation.
Coefficient of deviation is calculated by the formula:
For a symmetrical distribution lower quartitl is 20 and upper quartile is 40.The value of 50th percentile is
The range of the data
25,18,20,22,16,6,17,12,30,32,10,19,8,11,20 is
The difference between the maximum and the minimum observation in the data is
The formula for the coefficient of range is $\dfrac{\text{Range}}{a+b}$. Here, $a$ and $b$ denote:
The largest of $50$ measurements is $3.84$kg. If the range is $0.46$kg, find the smallest measurement.
The ________ is the difference between the greatest and the least value of the variate.
The mean deviation from the median is _________ that measured from any other value.
The difference between the maximum and the minimum obervations in data is called the ____________.
For the measure of centre tendency, which the following is not true.
Range of data $7, 8, 2, 1, 3, 13, 18$ is?
Coefficient of range $5, 2, 3, 4, 6, 8, 10$ is?
The highest score of a certain data exceeds in lowest score by $16$ and coefficient of range is $\cfrac{1}{3}$. The sum of the highest score and the lowest score is
For a frequency distribution $8^{th}$ decile is computed by the formula
If $n> 1, x> -1, x\neq 0$, then the statement $\left ( 1+x \right )^{n}> 1+nx$ is true for
The coefficient of mean deviation from median of observations $40, 62, 54, 90, 68, 76$ is
The coefficient of mean deviation from median of observations 40, 62, 54, 90, 68, 76 is
The difference between the maximum and the minimum observations in the data is
The coefficient of range of a set of data is given to be $\dfrac18$. Then the ratio of the maximum value in the data to the minimum value is:
The following are the wages of 8 workers in a factory. Find the range and coefficient of range. Wages are in dollars: 1400, 1450, 1520, 1380, 1485, 1495, 1575, 1440.
If the coefficient of range is $0.18$ and the largest value is $7.44$,then the smallest value is?
Find the coefficient of range for the data $43,24,38,56,22,39,45$
The weight in Kg of 13 students in a class are $42.5,47.5,48.6,50.5,49,46.2,49.8,45.8,43.2,48,44.7,46.9,42.4$.Find the coefficient of range.
Find the coefficient of range for the given data
$59,46,30,23,27,40,52,35,29$
If the standard deviation of $x _{1},x _{2},.....x _{n}$ is 3.5, then the standard deviatiuon of $-2x _{1}-3,-2x _{2}-3....,-2x _{n}-3$ is
If $\sigma$ $f _i$ $x _i$ = 20 and $\sigma$ $f _i$ = 4, what is the mean of the data.
The variance of the data $6,\ 8,\ 10,\ 12\,,14\,,\ 16,\ 18,\ 20,\ 22,\ 24$ is
The variate x and u are related by $\displaystyle u= \frac{x-a}{h}$ then correct relation between $\displaystyle \sigma _{x}:and:\sigma _{u}$
Standard deviation of a collection of data is $2\sqrt{2}$. If each value in a data set is multipled by $3$, then the standard deviation of the new data is.
If the standard deviation of $x _1, x _2, .., x _n$ is $3.5$, then the standard deviation of $-2x _1-3, -2x _2-3$,....., -2x_n-3$ is?
Consider the following statements.Which of these is/are correct?