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Question 11 Mark
Define ‘less than’ type cumulative frequency distribution for discrete data.
Answer
A table showing ‘less than’ cumulative frequency corresponding to the various values of discrete data is called ‘less than’ type cumulative frequency distribution for discrete data.
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Question 21 Mark
Define cumulative frequency.
Answer
in a frequency distribution the sum of frequency upto the value of an observation or a class is called the cumulative frequency of that value of the observation or that class. It is denoted by symbol ‘cf’.
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Question 31 Mark
When should one form a frequency distribution with unequal class lengths ?
Answer
When the range of raw or ungrouped data is very large, one should form a frequency distribution with unequal class length.
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Question 41 Mark
State the method to determine number of classes on the basis of range of data and class length.
Answer
When the range of data and class length are given. number of classes is determined by the following formula:
Number of Classes $=\frac{range}{Class\ length}$
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Question 51 Mark
Define the frequency of an observation.
Answer
A numeric value showing the repetition of value of observation is called frequency of that observation. It is denoted by symbol ‘f'.
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Question 61 Mark
State the types of classification.
Answer
Classification is of two types :
$(1)$ Quantitative classification and
$(2)$ Qualitative classification.
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Question 71 Mark
What is classification ?
Answer
A process of arranging ungrouped or raw data in systematic and short form is called classification.
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Question 81 Mark
State the main objective of percentage divided bar diagram.
Answer
The main objective of percentage divided bar diagram is to compare effectively the mutually related sub-data.
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Question 91 Mark
Define continuous variable.
Answer
If a variable can assume any value within the specified range is called continuous variable.
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Question 101 Mark
When do we draw divided bar diagram ?
Answer
When the data about different places, things or times consist of several mutually related sub-data on different components are given, divided bar diagram is drawn.
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Question 111 Mark
For which type of data, multiple bar diagram is drawn ?
Answer
When the data about different places, things or times are given on more than one mutually related characteristics, multiple bar diagram is drawn.
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Question 121 Mark
State the types of diagrams.
Answer
The types of diagrams are three :
$(1)$ One dimensional diagram,
$(2)$ Two dimensional diagram and
$(3)$ Pictogram.
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Question 131 Mark
In statistical study, what is the main objective of a diagram ?
Answer
in statistical study, the main objective of a diagram is to represent the huge and complex data into simple, attractive and concise form.
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Question 141 Mark
What is the main disadvantage of classification of data ?
Answer
The main disadvantage of classification of data is that the basic form of the individual unit of the data is changed.
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Question 151 Mark
What is the characteristic of the best table to represent qualitative data ?
Answer
The characteristic of the best table to represent qualitative data is ‘the table satisfies the objective of classification’.
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Question 161 Mark
Define manifold classification.
Answer
A classification of raw data on the basis of more than one attribute is called manifold classification.
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Question 171 Mark
Define tabulation.
Answer
Tabulation is a process of arranging the qualitative data in systematic manner into rows and columns.
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Question 181 Mark
Write formula for finding mid value of a class.
Answer
A formula for finding mid value of a class is as follows:
Mid value of a class
$=\frac{Upper \ limit \ of \ Class + lower \ limit \ of \ class}{2}$
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Question 191 Mark
Define ‘more than’ type cumulative frequency distribution for continuous data.
Answer
A table showing ‘more than’ cumulative frequency corresponding to the lower boundary point of various classes is called ‘more than’ type cumulative frequency distribution for continuous data.
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Question 201 Mark
Define discrete variable.
Answer
If a variable can assume definite or countable values within the specified range is called discrete variable.
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Question 211 Mark
In which diagram is there no any barrier of language?
Answer
In pictogram there is no any barrier of language.
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Question 221 Mark
Which is the best tool to explain the data to illiterates?
Answer
Pictogram is the best tool to explain the data to illiterates.
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Question 241 Mark
In pie diagram how many degrees are taken equal to the total volume of data?
Answer
In pie diagram $3600$ are taken equal to the total volume of data.
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Question 271 Mark
How will you determine the radius to draw a circle diagram?
Answer
To draw a circle diagram first of all the square root of the given value of the data is found, then radius of the circle is determined by dividing or multiplying the square root of the value by a constant.
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Question 281 Mark
When is circle diagram drawn?
Answer
When the volumes of data of two or re places, things or times are numerically large n circle diagram is drawn.
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Question 291 Mark
How is the height of each bar determined in the bar diagram?
Answer
In bar diagram the height of each bar taken proportional to the given data.
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Question 301 Mark
Which unit is taken as a measure in the bar diagram?
Answer
In bar diagram the unit of length is taken as a measure.
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Question 311 Mark
State the different types of bar diagram.
Answer
The different types of bar diagram are as follows:
$(1)$Simple bar diagram,
$(2)$ Multiple bar diagram.
$(3)$ Simple divided bar diagram and
$(4)$ Percentage divided bar diagram,
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Question 331 Mark
When is bar diagram drawn?
Answer
The bar diagram is drawn to compare the data of different places, things or times.
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Question 341 Mark
When the range of values of a discrete variable is large, which type of frequency distribution is prepared?
Answer
When the range of values of a discrete variable is large, then inclusive type of continuous frequency distribution is prepared.
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Question 351 Mark
If the upper boundary point of a class is $35$ and its mid value is $25$ , find the class length.
Answer
Upper boundary point $=\frac{\text { mid value }+\text { class length }}{2}$
$\therefore 35=25+\frac{\text { class length }}{2}$
$\therefore(35-25) \cdot 2=$ class length
$\therefore 20=$ class length
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Question 361 Mark
In a discrete frequency distribution the highest observation is $20$ and its cumulative frequency is $300$. What will be the total number of observations in that frequency distribution?
Answer
In a given discrete frequency distribution the total number of observations will be $300. = 548-493 = 55$
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Question 371 Mark
The number of persons earning more than $Rs.450$ per week is $548$ and that of more than $Rs.560$ per week is $493$. Find the number of persons earning $Rs.450$ to $Rs. 560$ per week.
Answer
(No. of persons earning $450$ to $560$ per week) $=$ (No. of persons earning more than $450$ per week)-(No. of persons earning more than $560$ per week) $= 548-493 = 55$
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Question 381 Mark
The number of students getting less than $20$ marks is $38$ and that of getting less than $30$ marks is $53$, find the number of students getting marks between $20$ and $30.$
Answer
(No. of students getting marks between $20$ and $30$) = (No. of students getting less than $30$ marks)- (No. of students getting less than $20$ marks)
$= 53-38$
$=15$
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Question 391 Mark
In which type of cumulative frequency distribution the upper boundary points of class are taken into account?
Answer
In ‘less than’ type of cumulative frequency distribution the upper boundary points of classes are taken into account.
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Question 401 Mark
In ‘less than’ type of cumulative frequency distribution what is the order cumulative frequencies?
Answer
In ‘less type’ of cumulative frequency distribution the order of cumulative frequency is descending.
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Question 411 Mark
In which type of cumulative frequency distribution are cumulative frequencies descending order?
Answer
In ‘more than’ type frequency distribution cumulative in descending order. Of cumulative frequencies are in descending order .
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Question 421 Mark
State the main difference between ‘less than’ type cumulative frequency and ‘more than’ type cumulative frequency. Explain : The cumulative frequency the class $40-49$ is $85.$
Answer
The cumulative frequency of the class $40—49$ is $85$ means the number of observation less than the upper boundary point $49.5$ is $85$. In other words the sum of frequencies up to the class $40—49$ is $85$.
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Question 431 Mark
State the main difference between frequency and cumulative frequency.
Answer
A number showing how frequently a observation occurs is called frequency of that observation, while the sum of frequencies up to that observation is called cumulative frequency of that observation.
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Question 441 Mark
If the mid value of a class is $110$ and class length is $30$ , then find the upper limit of the class.
Answer
Upper limit $=$ mid value $+\frac{\text { class length }}{2}$
$=110+\frac{30}{2}$
$=110+15$
$=125$
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Question 451 Mark
From the classes $5-9,10-14, \ldots$ what is the lower boundary point of the class $10- 14$ ?
Answer
The lower boundary of class $10-14=\frac{9+10}{2}=$ $\frac{19}{2}=9.5$
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Question 461 Mark
State the lower boundary point and upper boundary point of $2nd$ class of the classes $150 - 200, 200 - 250, 250 – 300….. .$
Answer
$2nd$ class is $200 — 250.$
Hence, lower boundary point $= 200$ and upper boundary point $= 250$
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Question 471 Mark
The classes $10 - 14.9, 15 - 19.9, 20 - 24.9, ...$ is the illustration of which type of classes?
Answer
The classes $10 - 14.9, 15 - 19.9, 20 - 24.9,….$ is the illustration of inclusive type of classes.
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Question 481 Mark
In a continuous frequency distribution state the limit of number of classes.
Answer
In a continuous frequency distribution the limit of number of classes is from $6$ to $15$ classes.
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Question 491 Mark
What are lower limit and upper limit?
Answer
The lowest value of a class is called the lower limit and the highest value of a class is called the upper limit of the class. For example, for the class $30—50$, lower limit $= 30$ and upper limit $= 50.$
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1 Marks Each - Statistics STD 11 Commerce Questions - Vidyadip