Relation between the Less Than and More Than Type Curves

Q. Which measure of central tendency can be determine graphically?

Q.

The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its

1. $mean$

2. $median$

3. $mode$

4. $allthethreeabove$

Q.

The annual rainfall record of a city for 66 days is given in the following table:
Rainfall (in cm): 0 - 10 10 - 20 20 -30 30 - 40 40 - 50 50 - 60
Number of days: 22 10 8 15 5 6
Calculate the median rainfall using ogives of more than type and less than type.

Q.

Which measure of central tendency can you obtain from the intersection point of the less than and greater than ogives?

__

Q. During a medical check-up of $35$ students of a class, their weights were recorded as follows:
$\begin{array}{cc}\text{Weight (in kg)}& \text{Number of students}\\ \text{Less than}38& 0\\ \text{Less than}40& 3\\ \text{Less than}42& 5\\ \text{Less than}44& 9\\ \text{Less than}46& 14\\ \text{Less than}48& 28\\ \text{Less than}50& 32\\ \text{Less than}52& 35\end{array}$
Draw a less than type ogive for the given data.
Hence, obtain the median weight from the graph and verify the result by using the formula.

Q. Question 12
The annual rainful record of a city for 66 days is given in the following table.
$\begin{array}{ccccccc}Rainfall\left(incm\right)& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60\\ Numberofdays& 22& 10& 8& 15& 5& 6\end{array}$
Calculate the median rainfall using ogives (or move than type and of less than type)

Q. From the following data, draw the two types of cumulative frequency curves and determine the median:

Height (in cm)	Frequency
140-144	3
144-148	9
148-152	24
152-156	31
156-160	42
160-164	64
164-168	75
168-172	82
172-176	86
176-180	34

Q. Draw a less than type Ogive for the following frequency table

C.I	F.
15-20	13
20-25	18
25-30	31
30-35	25
35-40	15
40-45	5

Q.

The annual rainfall record of a city for 66 days is given in the following table:
Rainfall (in cm): 0 - 10 10 - 20 20 -30 30 - 40 40 - 50 50 - 60
Number of days: 22 10 8 15 5 6
Calculate the median rainfall using ogives of more than type and less than type.

Q. Question 5
The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its
(a) mean
(b) median
(c) mode
(d) All of these

Q.

The following table shows data during a 1hr exam for a student.

$$\begin{array}{cc}Timeduringexam\left(mins\right)& Totalnumberofquestionssolvedintheexam\\ 0-10& 2\\ 10-20& 5\\ 20-30& 10\\ 30-40& 15\\ 40-50& 17\\ 50-60& 25\end{array}$$

Which of the following graphs comes closest to depicting the correct value of the median?

1. 

2. 

3. 

4. 

Q. $$\begin{gathered} Q8Calculatemedianrainfallu\sin g \\ Rainfall0-1010-2020-3030-4040-5050-60 \\ No.ofdays221081556 \\ Q9Ifmode=80mean=110,findmedian.Nametheformulaused \end{gathered}$$