Topics
Linear equations in two variables
 Linear Equations in Two Variables
 Linear Equations in Two Variables Applications
 Cross  Multiplication Method
 Substitution Method
 Elimination Method
 Graphical Method of Solution of a Pair of Linear Equations
 Determinant of Order Two
 Equations Reducible to a Pair of Linear Equations in Two Variables
 Simple Situational Problems
 Inconsistency of Pair of Linear Equations
 Cramer'S Rule
 Consistency of Pair of Linear Equations
 Pair of Linear Equations in Two Variables
Quadratic Equations
 Quadratic Equations Examples and Solutions
 Quadratic Equations
 Roots of a Quadratic Equation
 Nature of Roots
 Relation Between Roots of the Equation and Coefficient of the Terms in the Equation Equations Reducible to Quadratic Form
 Solutions of Quadratic Equations by Factorization
 Solutions of Quadratic Equations by Completing the Square
 Formula for Solving a Quadratic Equation
Arithmetic Progression
 Introduction to Sequence
 Geometric Mean
 Arithmetic Progressions Examples and Solutions
 Arithmetic Progression
 Geometric Progression
 General Term of an Arithmetic Progression
 General Term of an Geomatric Progression
 Sum of First n Terms of an AP
 Sum of the First 'N' Terms of an Geometric Progression
 Arithmetic Mean  Raw Data
 Terms in a sequence
 Concept of Ratio
Financial Planning
Probability
 Basic Ideas of Probability
 Probability  A Theoretical Approach
 Type of Event  Elementry
 Type of Event  Complementry
 Type of Event  Exclusive
 Type of Event  Exhaustive
 Equally Likely Outcomes
 Probability of an Event
 Concept Or Properties of Probability
 Addition Theorem
 Random Experiments
 Sample Space
 Basic Ideas of Probability
Statistics
 Tabulation of Data
 Inclusive and Exclusive Type of Tables
 Median of Grouped Data
 Mean of Grouped Data
 Graphical Representation of Data as Histograms
 Frequency Polygon
 Concept of Pie Graph (Or a Circlegraph)
 Concept of Pie Graph (Or a Circlegraph)
 Ogives (Cumulative Frequency Graphs)
 Applications of Ogives in Determination of Median
 Relation Between Measures of Central Tendency
 Introduction to Normal Distribution
 Properties of Normal Distribution
 Graphical Representation of Data as Histograms
 Mode of Grouped Data
Shaalaa.com  Statistics  Ex.5.1 Part 1
Related QuestionsVIEW ALL [14]
A milk centre sold milk to 50 customers. The table below gives the number of customers and the milk they purchased. Find the mean of the milk sold by direct method.
Milk Sold (Litre)  1  2  2  3  3  4  4  5  5  6 
No. of Customers  17  13  10  7  3 
The following data shows the number of students using different modes of transport:
Modes of Transport  Number of Students 
Bicycle  140 
Bus  100 
Walk  70 
Train  40 
Car  10 
From this table, find the central angle (θ) for the Mode of Transport ‘Bus’.
The following frequency distribution table shows the distances travelled by some rickshaws in a day. Observe the table and answer the following questions
Class (daily distance travelled in km)  continuous classes  Frequency (no.of. rickshaws)  Cumulative frequency less than type 
60  64  59.5  64.5  10  10 
65  69  64.5 69.5  34  10+34=44 
70  74  69.5  74.5  58  44+58=102 
75  79  74.5  79.5  82  102+82=184 
80  84  79.5  84.5  10  184+10=194 
85  89  84.5  89.5  6  194+6=200 
1) Which is the modal class? Why?
2) Which is the median class and why?
3) Write the cumulative frequency (C.F) of the class preceding the median class.
4) What is the class interval (h) to calculate median?
In the following table, the toll paid by drivers and the number of vehicles is shown. Find the mean of the toll by 'assumed mean' method.
Toll (Rupees)  300  400  400  500  500  600  600  700  700  800 
No. of vehicles  80  110  120  70  40 
A frequency distribution of funds collected by 120 workers in a company for the drought affected people are given in the following table. Find the mean of the funds by 'step deviation' method.
Fund (Rupees)

0  500  500  1000  1000  1500  1500  2000  2000  2500 
No. of workers  35  28  32  15  10 
The following table gives the information of frequency distribution of weekly wages of 150 workers of a company. Find the mean of the weekly wages by 'step deviation' method.
Weekly wages (Rupees)

1000  2000  2000  3000  3000  4000  4000  5000 
No. of workers  25  45  50  30 