Construct a bivariate frequency distribution table of the marks obtained by students in Statistics X and English Y . Marks in Statistics X 37 20 46 28 35 26 41 48 32 23 20 39 47 33 27 26 Marks in English Y 30 32 41 33 29 43 30 21 44 38 47 24 32 21 20 21 Construct a bivariate frequency distribution table for the given data by taking class intervals 20 - 30 , 30 - 40 , . . . . . . etc. for both X and Y .

Let X : Marks in Statistics Y : Marks in English Given table, Marks in Statistics X 37 20 46 28 35 26 41 48 32 23 20 39 47 33 27 26 Marks in English Y 30 32 41 33 29 43 30 21 44 38 47 24 32 21 20 21 It is known that the frequency distribution of a single variable is called univariate distribution. When a data set consists of a large mass of observations, they may be summarized by using a two-way table. A two-way table is associated with two variables, say X and Y . For each variable, a number of classes can be defined keeping in view the same considerations as in the univariate case. When there are m classes for X and n classes for Y , there will be m × n cells in the two-way table. The classes of one variable may be arranged horizontally, and the classes of another variable may be arranged vertically in the two way table. By going through the pairs of values of X and Y , we can find the frequency for each cell. The whole set of cell frequencies will then define a bivariate frequency distribution. So, the Bivariate frequency distribution table: Y \ X 20 - 30 30 - 40 40 - 50 Total f y 20 - 30 II 2 II 2 I 1 5 30 - 40 III 3 II 2 II 2 7 40 - 50 II 2 I 1 I 1 4 Total f x 7 5 4 16

MEDIUM

Earn 100

Distinguish between univariate and bivariate data

Important Questions on Bivariate Data

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Define bivariate data.

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

For a bivariate frequency table having

(p + q)

classification the total number of cells is

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Construct a bi-variate frequency distribution table for the following data of twenty students.

Marks in Economics: $15 12 17 20 23 14 20 18 15 21 10 16 22 18 16 15 17 19 15 20$
Marks in Statistics : $20 21 22 21 23 20 22 21 24 23 22 24 22 23 20 23 20 22 24 23$

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Define bivariate statistics.

MEDIUM

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Construct a bivariate frequency distribution table of the marks obtained by students in Statistics $(X)$ and English $(Y)$ .

Marks in Statistics $(X)$	$37$	$20$	$46$	$28$	$35$	$26$	$41$	$48$	$32$	$23$	$20$	$39$	$47$	$33$	$27$	$26$
Marks in English $(Y)$	$30$	$32$	$41$	$33$	$29$	$43$	$30$	$21$	$44$	$38$	$47$	$24$	$32$	$21$	$20$	$21$

Construct a bivariate frequency distribution table for the given data by taking class intervals $20 - 30, 30 - 40, . . . . . .$ etc. for both $X$ and $Y$ .

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

For a

p \times q

classification of bivariate data, the maximum number of conditional distributions is

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

List the differences between univariate and bivariate data.

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

What is meant by bivariate data? Give an example.

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

For two variables

x

and

y,

it is known that cov

(x, y) = 8, r = 0.4,

variance of

x

16

and sum of squares of deviation of y from its mean is

250 .

The number of observations for this bivariate data is

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Bi-variate frequency distribution is the frequency distribution of _____ variables.

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Identify if the following data is Univariate data or Bivariate data

Traffic accidents along with the weather on a particular day

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Sampling is preferred than population in which of the following case (s):

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Construct a bi-variate frequency distribution table for the following data of twenty students.

Marks in Economics: $16 23 18 21 13 18 21 18 12 21 11 16 20 19 18 15 13 13 14 21$
Marks in Statistics : $19 15 12 11 13 20 12 18 14 10 22 22 13 21 24 20 21 24 21 11$

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Bivariate statistics compare three variables.

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Write the definition of Bivariate data

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

For a

p \times q

bivariate frequency table, the maximum number of marginal distributions is

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Cotyledons are also called-

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

The graph which can show the positive or negative correlation (or no correlation at all) is called a _____.

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Construct a bi-variate frequency distribution table for the following data of twenty students.

Marks in Economics: $15 13 17 20 23 12 20 18 15 21 10 16 22 18 17 15 18 18 15 20$
Marks in Statistics : $17 21 12 11 23 20 22 19 14 23 22 14 22 13 20 23 20 22 24 23$

EASY

Mathematics>Statistics and Probability>Bivariate Data>Introduction to Bivariate Data

Identify if the following data is Univariate data or Bivariate data

Ice cream sales compared to the temperature that day

Distinguish between univariate and bivariate data

Important Questions on Bivariate Data

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