Advertisements
Advertisements
प्रश्न
Find a certain frequency distribution, the value of mean and mode are 54.6 and 54 respectively. Find the value of median.
उत्तर
Mean = 54.6 and Mode = 54 Median = ?
Mean - Mode = 3 (Mean - Median)
54.6 - 54 = 3 (54.6 - Median)
`therefore = (0.6)/3` = 54.6 - median
Median = 54.6 - 0.2
Median = 54.4
APPEARS IN
संबंधित प्रश्न
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 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.
A life insurance agent found the following data for distribution of ages of 100 policy holders. Calculate the median age, if policies are given only to persons having age 18 years onwards but less than 60 years.
Age (in years) | Number of policy holders |
Below 20 | 2 |
20 - 25 | 4 |
25 - 30 | 18 |
30 - 35 | 21 |
35 - 40 | 33 |
40 - 45 | 11 |
45 - 50 | 3 |
50 - 55 | 6 |
55 - 60 | 2 |
For a certain frequency distribution, the values of Assumed mean (A) = 1300, `sumf_id_i` = 900 and `sumfi` = 100. Find the value of mean (`barx`) .
The median of the following observations
11, 12, 14, (x - 2), (x + 4), (x + 9), 32, 38, 47 arranged in ascending order is 24.
Find the value of x and hence find the mean.
An incomplete distribution is given as follows:
Variable: | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 |
Frequency: | 10 | 20 | ? | 40 | ? | 25 | 15 |
You are given that the median value is 35 and the sum of all the frequencies is 170. Using the median formula, fill up the missing frequencies.
Find the missing frequencies and the median for the following distribution if the mean is 1.46.
No. of accidents: | 0 | 1 | 2 | 3 | 4 | 5 | Total |
Frequency (No. of days): | 46 | ? | ? | 25 | 10 | 5 | 200 |
The weight of 60 boys are given in the following distribution table:
Weight (kg) | 37 | 38 | 39 | 40 | 41 |
No. of boys | 10 | 14 | 18 | 12 | 6 |
Find:
- Median
- Lower quartile
- Upper quartile
- Inter-quartile range
The median of the following data is 16. Find the missing frequencies a and b if the total of frequencies is 70.
Class | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35 – 40 |
Frequency | 12 | a | 12 | 15 | b | 6 | 6 | 4 |
In the following data the median of the runs scored by 60 top batsmen of the world in one-day international cricket matches is 5000. Find the missing frequencies x and y.
Runs scored | 2500 – 3500 | 3500 – 4500 | 4500 – 5500 | 5500 – 6500 | 6500 – 7500 | 7500 - 8500 |
Number of batsman | 5 | x | y | 12 | 6 | 2 |
Which measure of central tendency can be determine graphically?
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 |
Find the median of:
66, 98, 54, 92, 87, 63, 72.
Find the Median of the following distribution:
x | 3 | 5 | 10 | 12 | 8 | 15 |
f | 2 | 4 | 6 | 10 | 8 | 7 |
Find the median of the following frequency distribution:
x | 10 | 11 | 12 | 13 | 14 | 15 |
f | 1 | 4 | 7 | 5 | 9 | 3 |
The maximum speeds, in km per hour, of 35 cars in a race are given as follows:
Speed (km/h) | 85 – 100 | 100 – 115 | 115 – 130 | 130 – 145 |
Number of cars | 5 | 8 | 13 | 9 |
Calculate the median speed.
Calculate the median of marks of students for the following distribution:
Marks | Number of students |
More than or equal to 0 | 100 |
More than or equal to 10 | 93 |
More than or equal to 20 | 88 |
More than or equal to 30 | 70 |
More than or equal to 40 | 59 |
More than or equal to 50 | 42 |
More than or equal to 60 | 34 |
More than or equal to 70 | 20 |
More than or equal to 80 | 11 |
More than or equal to 90 | 4 |
The median of the following frequency distribution is 35. Find the value of x.
Class: | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 |
Frequency: | 6 | 3 | x | 12 | 19 |
Using the empirical relationship between the three measures of central tendency, find the median of a distribution, whose mean is 169 and mode is 175.