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Description
- Computation of Measures of Central Tendency - Median of Grouped Data
- cumulative frequency column
Questions
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 |
The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them.
Monthly consumption (in units) | Number of consumers |
65 - 85 | 4 |
85 - 105 | 5 |
105 - 125 | 13 |
125 - 145 | 20 |
145 - 165 | 14 |
165 - 185 | 8 |
185 - 205 | 4 |
The following table shows ages of 3000 patients getting medical treatment in a hospital on a particular day :
Age (in years) | No. of Patients |
10-20 | 60 |
20-30 | 42 |
30-40 | 55 |
40-50 | 70 |
50-60 | 53 |
60-70 | 20 |
Find the median age of the patients.
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 f_{i} |
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)
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.
Below is the given frequency distribution of words in an essay
Number of Words | Number of Candidates |
600 – 800 | 8 |
800 – 1000 | 22 |
1000 – 1200 | 40 |
1200 – 1400 | 18 |
1400 - 1600 | 12 |
Find the mean number of words written.
The distribution below gives the weights of 30 students of a class. Find the median weight of the students.
Weight (in kg) | 40 − 45 | 45 − 50 | 50 − 55 | 55 − 60 | 60 − 65 | 65 − 70 | 70 − 75 |
Number of students | 2 | 3 | 8 | 6 | 6 | 3 | 2 |
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.