Classification of Data MCQ Quiz in मल्याळम - Objective Question with Answer for Classification of Data - സൗജന്യ PDF ഡൗൺലോഡ് ചെയ്യുക

Calculation

the number of road accident patients treated less than 4 = 11 + 16 + 21 + 23 = 71

Concept:

Cumulative frequency:

• Cumulative frequency distribution is the sum of the frequency of class and all classes below it in a frequency distribution.
• This means we can get cumulative frequency by adding up a value and all of the values that came before it.

Frequency of any class = cumulative frequency of class - cumulative frequency of preceding class.

Calculation:

We know that,

Frequency of any class = cumulative frequency of class - cumulative frequency of preceding class.

According to question,

x - 10 = y - 27

⇒ x - y = - 27 + 10 =  -17

Hence, option (2) is correct.

Formula used

Average = Sum of all observation/ Number of observation

Calculation:

A = (x + x + 2 + x + 5)/3 = (3x + 7)/3

B = (y + y + 3 + y + 7)/3 = (3y + 10)/3

Mean of A and B = (A + B)/2

Putting the above value of A and B

[(3x + 7)/3 + (3y + 10)/3]/2

⇒ (3x + 3y + 17)/6

⇒ (3x + 3x - 6 + 17)/6

⇒ (6x + 11)/6

⇒ x + 11/6

Explanation

Ogive = When X – coordinates are the upper limits of the class interval and y coordinates are corresponding cumulative frequency on a curve by joining points is called ogivi curve

Histogram = A histogram is a graphical display of data using bars of different heights. In a histogram, each bar groups numbers into ranges.In Histogram we can represent time series.

Straight-line = If an equation can be rearranged into the form y = m x + c , then its graph will be a straight line

Historigram = A historigram is a graphical representation of a time series that reveals the changes that occurred at different time periods

∴ Historigram is the correct option

Given

Total expenses = 504 lakhs

Raw material had a central angle 45° 

Concept used

In the pie chart overall angle is 360°

Calculation

The total expenses = 504 lakhs

⇒ 360° = 504 lakhs

⇒ 1° = 1.4 lakh

⇒ 45° = 63 lakh

∴ the company's expense on raw materials (in Rs lakhs) - is 63 lakhs

Bar Graph: It is used to show a comparison among categories. It may consist of two or more parallel vertical (or horizontal) bars (rectangles).

• It is a pictorial representation of a grouped data, in the form of vertical or horizontal rectangular bars
• It is used to compare variables.
• There are spacing between bars.
• The lengths of the bars are equivalent to the measure of data, are known as bar graphs or bar charts.
• Rectangles are drawn on X-axis known as Horizontal Bar Graph.
• Rectangles drawn along the y-axis are known as Vertical Bar Graphs.

Some other terms:

• Frequency Polygon: It is a graph that is formed by joining the points which are positioned at the mid-point of each interval.
• Histogram: A histogram is similar to a bar graph in the way that it is also formed using rectangles but the difference is there no gap between these rectangles. Also, it is used to show the distribution of variables

Calculation:

Let the monthly percentage of expenditure on transport be x%

Consider, total monthly family expenditure = 100%

⇒ 38 + 19 + 18 + x + 9 + 6 = 100

⇒ x = 10

Now, expenditure on transport = \(\rm \frac {x}{100} \times 9000\)

\(=\rm \frac {10}{100} \times 9000\) = Rs. 900

A table is structured for organizing and displaying information with data ordered in row and column.

The object of table is to represent tabular information in a more meaningful way. The object of table is to  represent tabular information in row and olumn to understand the meaning of it in a simple and easy method

∴  The tabulation of th data is the systematic arrangement of the statistical data in columns and rows

Explanation:

Graphically, the median can be determined by the intersection point of Less than Ogive and More than Ogive.

The value of the x-axis corresponding to the intersection point indicates the median.

Additional Information

Ogive: In statistics, an ogive, also known as a cumulative frequency polygon, can refer to one of two things:

• any hand-drawn graphic of a cumulative distribution function
• any empirical cumulative distribution function.

The points plotted as part of an ogive are the upper-class limit and the corresponding cumulative absolute frequency or cumulative relative frequency. The ogive for the normal distribution resembles one side of an Arabesque or ogival arch, which is likely the origin of its name.

Ogives - To find median

Histogram - To find mode  

Concept:

Pie Chart: A pie chart is a circular statistical graphic, which is divided into slices to illustrate numerical proportion.

Some properties:

• The arc length and central of each slide is proportional to the quantity it represents.
• The area of the pie chart denoted the total quantity.

Calculation:

Area of the circle = Total expenditure

Total expenditure of family A = Rs. 10000

Area of circle A = 10000

Total expenditure of family B = Rs. 8100

Area of circle B = 8100

\(\frac{{{\rm{Area\;of\;cirlce\;A}}}}{{{\rm{Area\;of\;circle\;B}}}} = \frac{{10000}}{{8100}}\)

\(\Rightarrow \frac{{{\rm{\pi r}}_{\rm{a}}^2}}{{{\rm{\pi r}}_{\rm{b}}^2}} = \frac{{100}}{{81}}\)

\(\Rightarrow \frac{{{{\rm{r}}_{\rm{a}}}}}{{{{\rm{r}}_{\rm{b}}}}} = \frac{{10}}{9}\)

⇒ r_a : r_b = 10 : 9