Cumulative Frequency Distribution of More Than Type

Q.

The following distribution gives the daily income of 50 workers of a factory.

Daily income (in Rs)	100 − 120	120 − 140	140 − 160	160 − 180	180 − 200
Number of workers	12	14	8	6	10

Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

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.

The following are the ages of 300 patients getting medical treatment in a hospital on a particular day:

Age (in years)	10−20	20−30	30−40	40−50	50−60	60−70
Number of patients	60	42	55	70	53	20

Form a 'less than type' cumulative frequency distribution. [CBSE 2013]

Q. Construct a ‘more than’ cumulative frequency table and draw an ogive for the data given below:

Marks	1 - 10	11 - 20	21 - 30	31 - 40	41 - 50	51 - 60	61 - 70	71 - 80
Frequency	3	8	12	14	10	6	5	2

1. (10, 60) (10.5, 55) (20.5, 49) (6, 37) (40.5, 23) (50.5, 13) (60.5, 7) (70.5, 2)
2. (0.5, 60) (10.5, 57) (20.5, 49) (30.5, 37) (40.5, 23) (50.5, 13) (60.5, 7) (70.5, 2)
3. (0.5, 60) (10.5, 57) (20, 49) (30, 37) (40.5, 23) (50.5, 13) (60, 5) (70.5, 2)
4. (5, 60) (10, 57) (20, 47) (30.5, 39) (40.5, 23) (50.5, 13) (60.5, 7) (70.5, 2)

Q.

The production yield per hectare of wheat of some farms of a village are given in the following table:

Production yield (in kg/ha)	40−45	45−50	50−55	55−60	60−65	65−70	70−75	75−80	80−85
Number of farms	1	9	15	18	40	26	16	14	10

Draw a less than type ogive and a more than type ogive for this data.

Q.

Which measure of central tendency is obtained graphically by the point of intersection of less than and more than ogives

1. Mode

2. Geometric mean

3. Median

4. Arithmetic mean

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

Monthly consumption (in units)	140−160	160−180	180−200	200−220	220−240	240−260	260−280
Number of families	3	8	15	40	50	30	10

Prepare a more than type ogive for the following frequency distribution. [CBSE 2014]

Q.
The median class for the above 'less than' type ogive is .

1. 10 - 20
2. 20 - 30
3. 30 - 40
4. 40 - 50

Q.

The cumulative frequency distribution of the more than type has the largest cumulative frequency at the top of the table.

1. True

2. False

Q.

Question 14(i)
50 students enter for a school javelin throw competition. The distance (in metres) thrown are recorded below :

$\begin{array}{cccccc}Distance\left(inm\right)& 0-20& 20-40& 40-60& 60-80& 80-100\\ Numberofstudents& 6& 11& 17& 12& 4\end{array}$

Construct a cumulative frequency table.

Q. Draw Ogive by more than method.

Q.

Construct a frequency distribution table for the following distributions:

Marks (less than) | 0 | 10 | 20 | 30 | 40 | 50

Cumulative frequency | 0 | 7 | 28 | 54 | 71 | 84

Q. Construction of a cumulative frequency table is useful in determining the

1. mean
2. median
3. all the above three measures
4. mode

Q. The median class in the following frequency distribution is:

Class Interval:	0-10	10-20	20-30	30-40	40-50
Frequency	12	13	25	20	10

1. $10-20$
2. $20-30$
3. none of these
4. $30-40$

Q.

The data shown in the $2^{nd}$ column of the table is the frequency

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

1. True

2. False

Q. A life insurance agent found the following data for the distribution of ages of 100 policyholders. Calculate the median age, if policies are given only to persons having age 18 years onwards but lets than 60 years.

Age (in years)	No. of policyholders (cf)
Below 20	2
Below 25	6
Below 30	24
Below 35	45
Below 40	78
Below 45	89
Below 50	92
Below 55	98
Below 60	100

Q. ​​The following frequency distribution gives the monthly consumption of electricity of 64 consumers of locality.

Monthly consumption (in units)	65−85	85−105	105−125	125−145	145−165	165−185
Number of consumers	4	5	13	20	14	8

Form a 'more than type' cumulative frequency distribution.

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

Monthly consumption (in units)	140−160	160−180	180−200	200−220	220−240	240−260	260−280
Number of families	3	8	15	40	50	30	10

Prepare a 'more than type' ogive for the following frequency distribution. [CBSE 2014]