English

The Median of 19 Observations is 30. Two More Observation Are Made and the Values of These Are 8 and 32. Find the Median of the 21 Observations Taken Together. - Mathematics

Advertisements
Advertisements

Question

The median of 19 observations is 30. Two more observation are made and the values of these are 8 and 32. Find the median of the 21 observations taken together.
Hint Since 8 is less than 30 and 32 is more than 30, so the value of median (middle value) remains unchanged.

Solution

Since, 8 is less than 30 and 32 is more than 30, so the middle value remains unchanged
Thus, the median of 21 observations taken together is 30.

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 12

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Describe some fundamental characteristics of statistics.


What secondary data?


Explain the meaning of the term Class-integral.


Explain the meaning of the term Class limits.


Find the mean, median and mode of the following data: 

Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70
Frequency 4 4 7 10 12 8 5

Find the mean, median and mode of the following data:

Class 0 – 50 50 – 100 100 – 150 150 – 200 200 – 250 250 – 300 300 - 350
Frequency 2 3 5 6 5 3 1

 


A survey regarding the heights (in cm) of 50 girls of a class was conducted and the following data was obtained:

Height in
cm
120 – 130 130 – 140 140 – 150 150 – 160 160 – 170
No. of
girls
2 8 12 20 8

Find the mean, median and mode of the above data.


The following table gives the daily income of 50 workers of a factory:

Daily income (in Rs) 100 – 120 120 – 140 140 – 160 160 – 180 180 – 200
No. of workers 12 14 8 6 10

Find the mean, median and mode of the above data.


The table below shows the daily expenditure on food of 30 households in a locality:

Daily expenditure (in Rs) Number of households
100 – 150 6
150 – 200 7
200 – 250 12
250 – 300 3
300 – 350 2

Find the mean and median daily expenditure on food.

 


In a frequency distribution table with 12 classes, the class-width is 2.5 and the lowest class boundary is 8.1, then what is the upper class boundary of the highest class?


In the following data, find the values of p and q. Also, find the median class and modal class.

Class Frequency (f) Cumulative frequency (cf)
100 – 200 11 11
200 – 300 12 p
300 – 400 10 33
400- 500 Q 46
500 – 600 20 66
600 – 700 14 80

Define primary data and secondary data.


The times, in seconds, taken by 150 athletes to run a 110 m hurdle race are tabulated below:

Class 13.8 – 14 14 – 14.2 14.2 – 14.4 14.4 – 14.6 14.6 – 14.8 14.8 – 15.0
Frequency 2 4 5 71 48 20

The number of athletes who completed the race in less than 14.6 seconds is:


Class mark of a class is obtained by using ______.


Can the experimental probability of an event be greater than 1? Justify your answer.


As the number of tosses of a coin increases, the ratio of the number of heads to the total number of tosses will be `1/2`. Is it correct? If not, write the correct one.  


Find the range of given data: 46, 35, 78, 90, 20, 56, 45, 76.


The monthly pocket money of ten friends is given below:

₹ 80, ₹ 65, ₹ 35, ₹ 65, ₹ 50, ₹ 30, ₹ 60, ₹ 35, ₹ 65, ₹ 30

What is the lowest pocket money?


The time, in seconds, taken by 150 athletes to run a 100 m hurdle race are tabulated below:

Time (sec.) 13 – 14 14 – 15 15 – 16 16 – 17 17 – 18 18 – 19
Number of Athletes 2 4 5 71 48 20

The number of athletes who completed the race in less than 17 seconds is:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×