English

A Data Has 25 Observations Arranged in a Descending Order. Which Observation Represents the Median? - Mathematics

Advertisements
Advertisements

Question

A data has 25 observations arranged in a descending order. Which observation represents the median?

Solution

If the number of observations is odd, then the median is `((n+1)/2)`𝑡ℎ observation.
Thus, `((25+1)/2)`=13𝑡ℎ observation represents the median.

shaalaa.com
  Is there an error in this question or solution?
Chapter 9: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive - Exercises 6

APPEARS IN

RS Aggarwal Mathematics [English] Class 10
Chapter 9 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
Exercises 6 | Q 4

RELATED QUESTIONS

The following is the distribution of the size of certain farms from a taluka (tehasil):

Size of Farms
(in acres)
Number of Farms
5 – 15 7
15 – 25 12
25 – 35 17
35 – 45 25
45 – 55 31
55 – 65 5
65 – 75 3

Find median size of farms.


The following table gives the frequency distribution of married women by age at marriage:

Age (in years) Frequency
15-19 53
20-24 140
25-29 98
30-34 32
35-39 12
40-44 9
45-49 5
50-54 3
55-59 3
60 and above 2

Calculate the median and interpret the results.


Compute the median for the following data:

Marks No. of students
More than 150 0
More than 140 12
More than 130 27
More than 120 60
More than 110 105
More than 100 124
More than 90 141
More than 80 150

In the graphical representation of a frequency distribution, if the distance between mode and mean is ktimes the distance between median and mean, then write the value of k.


In the following table, Σf = 200 and mean = 73. Find the missing frequencies f1, and f2.

x 0 50 100 150 200 250
f 46 f1 f2 25 10 5

The median of set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set ______.


Read the following passage and answer the questions given below.

Electric buses are becoming popular nowadays. These buses have the electricity stored in a battery. Electric buses have a range of approximately 280 km with just charge. These buses are superior to diesel buses as they reduce brake wear and also reduce pollution. 'transport department of a city wants to buy some electric buses for the city. So, the department wants to know the distance travelled by existing public transport buses in a day. The following data shows the distance travelled by 50 existing public transport buses in a day.

 

Daily distance travelled (in km) 100 – 120 120 – 140 140 – 160 160 – 180 180 – 200
Number of buses 12 14 8 6 10
  1. Find the 'median' distance travelled by a bus.
  2. Find the 'mean (average)' distance travelled by a bus.

The monthly expenditure on milk in 200 families of a Housing Society is given below:

Monthly Expenditure
(in ₹)
1000 – 1500 1500 – 2000 2000 – 2500 2500 – 3000 3000 – 3500 3500 – 4000 4000 – 4500 4500 – 5000
Number of families 24 40 33 x 30 22 16 7

Find the value of x and also, find the median and mean expenditure on milk.


Consider the following frequency distribution:

Class 0 – 6 6 – 12 12 – 18 18 – 24 24 – 30
Frequency 12 10 15 8 11

The median class is:


The median of first seven prime numbers is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×