Ogive of More Than Type

Q. If the median of the following frequency distribution is 28.5 find the missing frequencies:

Class interval:	0−10	10−20	20−30	30−40	40−50	50−60	Total
Frequency:	5	f1	20	15	f2	5	60

Q.

Draw a 'more than' ogive for the data given below which gives the marks of 100 students.

$\begin{array}{ccccccccc}Numberofwickets& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70& 70-80\\ Numberofstudents& 4& 6& 10& 10& 25& 22& 18& 5\end{array}$

Q.

The graphical representation of a cumulative frequency table is called a histogram.

1. True

2. False

Q. The median of the following data is 525. Find the missing frequency, if it is given that there are 100 observation in the data:

Class interval	Frequency	Class interval	Frequency
0−100 100−200 200−300 300−400 400−500	2 5 f1 12 17	500−600 600−700 700−800 800−900 900−1000	20 f2 9 7 4

Q.

From the following frequency distribution, prepare the 'more than' ogive.

$\begin{array}{cc}Score& Numberofcandidates\\ 400-450& 2\\ 450-500& 35\\ 500-550& 40\\ 550-600& 32\\ 600-650& 24\\ 650-700& 27\\ 700-750& 18\\ 750-800& 34\\ Total& 212\end{array}$

Q.

The following table gives the production yield per hectare of wheat of 100 farms of a village.

$\begin{array}{ccccccc}Productionyield\left(kg/ha\right)& 50-55& 55-60& 60-65& 65-70& 70-75& 75-80\\ Numberoffarms& 2& 8& 12& 24& 38& 16\end{array}$

Change the distribution to a 'more than type' distribution and draw its ogive.Using ogive, find the median of the given data.

Q.

The heights of 50 girls of Class X of a school are recorded as follows:

$\begin{array}{ccccccc}Height\left(incm\right)& 135-140& 140-145& 145-150& 150-155& 155-160& 160-165\\ Numberofgilrs& 5& 8& 9& 12& 14& 2\end{array}$

Draw a 'more than type' ogive for the above data.

Q. Write the median class for the following frequency distribution:

Class-interval:	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Frequency:	5	8	7	12	28	20	10	10

Q. Question 1
The following distribution gives the daily income of 50 workers of a factory.
$\begin{array}{cccccc}Dailyincome\left(inRs\right)& 100-120& 120-140& 140-160& 160-180& 180-200\\ Numberofworkers& 12& 14& 8& 6& 10\end{array}$
Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

Q. For ‘more than ogive’ the x-axis represents _______.

1. upper limits of class-intervals
2. mid-values of class-intervals
3. lower limits of class-intervals
4. frequency

Q.

Using a graph paper, draw an ogive for the following distribution, which shows daily wages of 160 workers.

Using the graph determine:

1. 36, 100, 20

2. 36, 112, 23

3. 36, 100, 25

4. 40, 100, 20

5. 40, 112, 23

6. 40, 100, 25

Q. The given distribution shows the number of wickets taken by the bowlers in one-day international cricket matches:

Number of wickets	Less than 15	Less than 30	Less than 45	Less than 60	Less than 75	Less than 90	Less than 105	Less than 120
Number of bowlers	2	5	9	17	39	54	70	80

Draw a less than type ogive from the above data. Find the median.

Q.

In a class, following were the marks obtained by 20 students in a maths test.
20, 40 , 50 , 20 , 60 , 50 , 100, 20, 50, 100, 40, 60, 100, 50, 20 , 60, 100 , 50, 40 , 20. Make a frequency distribution table. [2 MARKS]

Q. Question 3
The following table gives production yield per hectare of wheat of 100 farms of a village.
$$\begin{array}{ccccccc}Productionyield\left(inkg/ha\right)& 50-55& 55-60& 60-65& 65-70& 70-75& 75-80\\ Numberoffarms& 2& 8& 12& 24& 38& 16\end{array}$$
Change the distribution to a more than type distribution and draw its ogive.

Q. Calculate the missing frequency from the following distribution, it being given that the median of the distribution is 24.

Age (in years)	0−10	10−20	20−30	30−40	40−50
Number of persons	5	25	?	18	7

Q. Question 1
The following distribution gives the daily income of 50 workers of a factory.
$\begin{array}{cccccc}Dailyincome\left(inRs\right)& 100-120& 120-140& 140-160& 160-180& 180-200\\ Numberofworkers& 12& 14& 8& 6& 10\end{array}$
Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

Q.

The monthly consumption of electricity (in units) of some families of a locality is given in the follwoing frequency distribution.

$\begin{array}{cccccccc}Monthlyconsumption\left(inunits\right)& 140-160& 160-180& 180-200& 200-240& 220-240& 240-260& 260-280\\ Numberoffamilies& 3& 8& 15& 40& 50& 30& 10\end{array}$

Prepare a 'more than type'ogive for the given frequency distribution:

Q. Calculate the missing frequency from the following distribution, it being given that the median of the distribution is 24.

Age in years:	0−10	10−20	20−30	30−40	40−50
No. of persons:	5	25	?	18	7

Q. If the coordinates of the point of intersection of less than ogive and more than type ogive is (14.5, 20) then find the value of median.

Q.

Draw a less than ogive for the following frequency distribution. Hence, estimate the median from the ogive.

Class interval	$6500-7000$	$7000-7500$	$7500-8000$	$8000-8500$	$8500-9000$	$9000-9500$	$9500-10000$
Frequency	$10$	$18$	$22$	$25$	$17$	$10$	$8$

Q.

Which type of ogive curve would be best suitable to determine the median?

For less than type ogive type L , for more than type ogive type M

$$\begin{array}{cc}Time& TotalNumberofQuestions\\ <10& 2\\ <20& 5\\ <30& 10\\ <40& 15\\ <50& 17\\ <60& 25\end{array}$$

__

Q. Find the median of the following numbers
$11,13,8,10,15,18,12,7,9,16$

1. $12$
2. $11$
3. $11.5$
4. $12.5$

Q.

What is the term for a cumulative frequency curve?

__

Q.

An ogive curve is

1. cumulative frequency vs upper limit curve only

2. cumulative frequency vs lower limit curve only

3. frequency vs upper limit curve

4. cumulative frequency vs upper limit or cumulative frequency vs lower limit .

Q. The following cumulative frequency curves are less than type ______.

1. 
2. 
3. 
4. 

Q.

In ΔABC AM is a median. Calculate:

i) The equation of AM

ii) The eqation of AN

1. Equation of AM : 3x – y =4, Equation of AM : x = 2

2. Equation of AM : x – y =9, Equation of AM : x + y = 2

3. Equation of AM : x – y =4, Equation of AM : x = 2

4. Equation of AM : 3x – y =4, Equation of AM : x + y= 2

Q. The median of the following items $25,15,23,40,27,25,23,25$ and $20$ is

1. $25$
2. $40$
3. $23$
4. $27$

Q. In a survey of 300 android mobile users, who make video calls, 65 people said they use only viber, 35 use only skype and 100 people use both. The number of persons who use neither viber nor skype is __.

Q.

Choose the ogive curve for the given data.

$$\begin{array}{cc}Marks& Numberofstudents\\ >05& 48\\ >10& 45\\ >15& 39\\ >20& 30\\ >25& 18\\ >30& 10\end{array}$$

1. 

2. 

3. 

4. 

Q. should the height for given class intervals be equal for finding median