Q. 11

# Size of agricultural holdings in a survey of 200 families is given in the following table

Compute median and mode size of the holdings.

Answer :

(i) Here, _{N = 200}

Now,

N/2 = 200/2 = 100

(which lies in the interval 15 – 20)

Lower limit, l = 15,

h = 5,

f = 80 and

f_{c} = 55

= 15 + 2.81

= 17.81 hec

∴ the median is 17.81 hec

(ii) In a given table 80 is the highest frequency.

So, the modal class is 15 - 20.

Here, l = 15,

f_{m} = 80,

f_{1} = 30,

f_{2} = 40

h = 5

= 15 + 25/9

= 15 + 2.77 = 17.77 hec

∴ the mode is 17.77 hectare

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSThe distribution of heights (in cm) of 96 children is given belowDraw a less than type cumulative frequency curve for this data and use it to compute median height of the children.NEXTThe annual rainfall record of a city for 66 days is given in the following table.Calculate the median rainfall using ogives (or move than type and of less than type)

RELATED QUESTIONS :

The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.

Find the mode of the data.

RD Sharma - MathematicsCompare the modal ages of two groups of students appearing for an entrance test:

The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret, the two measures:

RD Sharma - MathematicsThe shirt sizes worn by a group of 200 persons, who bought the shirt from a store, are as follows:

Find the model shirt size worn by the group.

RD Sharma - MathematicsThe following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the men monthly expenditure:

A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarized it in the table given below. Find the mode of the data:

The following table shows the ages of the patients admitted in a hospital during a year:

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

RD Sharma - MathematicsThe following data gives the information on the observed lifetimes (in hours) of 225 electrical components:

Determine the modal lifetimes of the components.

RD Sharma - MathematicsThe following is the distribution of height of students of certain class in a certain city:

Find the average height of maximum number of students.

RD Sharma - MathematicsFind the mode of the following distribution.

(i)

(ii)

(iii)

RD Sharma - Mathematics