shaalaa.com
S

Solution - Median of Grouped Data

Account
User


Login
Register


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Question

The following table shows ages of 3000 patients getting medical treatment in a hospital on a particular day : 

Age (in years)No. of Patients
10-2060
20-3042
30-4055
40-5070
50-6053
60-7020

Find the median age of the patients.

Solution

You need to to view the solution
Is there an error in this question or solution?

Appears in these question papers

Similar questions VIEW ALL

If the median of the distribution is given below is 28.5, find the values of x and y

Class interval Frequency
0 - 10 5
10 - 20 x
20 - 30 20
30 - 40 15
40 - 50 y
50 - 60 5
Total 60
view solution

100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:

 

Number of letters Number of surnames
1 - 4 6
4 − 7 30
7 - 10 40
10 - 13 6
13 - 16 4
16 − 19 4

Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames.

view solution

The lengths of 40 leaves of a plant are measured correct to the nearest millimeter, and the data obtained is represented in the following table:

Length (in mm)

Number or leaves fi

118 − 126

3

127 − 135

5

136 − 144

9

145 − 153

12

154 − 162

5

163 − 171

4

172 − 180

2

Find the median length of the leaves.

(Hint: The data needs to be converted to continuous classes for finding the median, since the formula assumes continuous classes. The classes then change to 117.5 − 126.5, 126.5 − 135.5… 171.5 − 180.5)

view solution

For a certain frequency distribution, the value of Mean is 101 and Median is 100. Find the value of Mode.

view solution

Find the following table gives the distribution of the life time of 400 neon lamps

Life time (in hours) Number of lamps
1500 − 2000 14
2000 − 2500 56
2500 − 3000 60
3000 − 3500 86
3500 − 4000 74
4000 − 4500 62
4500 − 5000 48

Find the median life time of a lamp.

view solution
Solution for concept: Median of Grouped Data. For the course 9th - 10th SSC (English Medium)
S