Advertisements
Advertisements
प्रश्न
The following table shows the number of patients of different age groups admitted to a hospital for treatment on a day. Find the median of ages of the patients.
| Age- group (Yrs.) | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
| No. of patients | 40 | 32 | 35 | 45 | 33 | 15 |
उत्तर
| Age (Yrs.) | No. of patients (Frequency) |
Cumulative frequency (Less than) |
| 10-20 | 40 | 40 |
| 20-30 | 32 | 72 |
| 30-40 | 35 | 107 |
| 40-50 | 45 | 152 |
| 50-60 | 33 | 185 |
| 60-70 | 15 | 200 |
Here N = 200 ∴ the number` N/2=`100 which is included in the class 30-40
∴ median class is 30 - 40
∴ L = 30, cf = 72, f = 35, h = 10
Median = L+ `|(n/2-cf)/f| xx h`
`=30+((100-72)/35) xx 10`
`=30+(28xx2)/7`
= 30 + 4 x 2
= 30 + 8 = 38
∴ median of ages of patients is 38.
APPEARS IN
संबंधित प्रश्न
For a certain frequency distribution, the value of Mean is 101 and Median is 100. Find the value of Mode.
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 table below shows the salaries of 280 persons :
| Salary (In thousand Rs) | No. of Persons |
| 5 – 10 | 49 |
| 10 – 15 | 133 |
| 15 – 20 | 63 |
| 20 – 25 | 15 |
| 25 – 30 | 6 |
| 30 – 35 | 7 |
| 35 – 40 | 4 |
| 40 – 45 | 2 |
| 45 – 50 | 1 |
Calculate the median salary of the data.
The numbers 6, 8, 10, 12, 13 and x are arranged in an ascending order. If the mean of the observations is equal to the median, find the value of x
Calculate the median from the following data:
| Marks below: | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 |
| No. of students: | 15 | 35 | 60 | 84 | 96 | 127 | 198 | 250 |
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.
Find the median wages for the following frequency distribution:
| Wages per day (in Rs) | 61 – 70 | 71 – 80 | 81 – 90 | 91 – 100 | 101 – 110 | 111 – 120 |
| No. of women workers | 5 | 15 | 20 | 30 | 20 | 8 |
The following table shows the information regarding the milk collected from farmers on a milk collection centre and the content of fat in the milk, measured by a lactometer. Find the mode of fat content.
| Content of fat (%) | 2 - 3 | 3 - 4 | 4 - 5 | 5 - 6 | 6 - 7 |
| Milk collected (Litre) | 30 | 70 | 80 | 60 | 20 |
Grouped frequency distribution of supply of milk to hotels and the number of hotels is given in the following table. Find the mode of the supply of milk.
| Milk (Litre) | 1 - 3 | 3 - 5 | 5 - 7 | 7 - 9 | 9 - 11 | 11 - 13 |
| No. of hotels | 7 | 5 | 15 | 20 | 35 | 18 |
What is the value of the median of the data using the graph in the following figure of less than ogive and more than ogive?
The arithmetic mean and mode of a data are 24 and 12 respectively, then its median is
Find the median of the scores 7, 10, 5, 8, 9.
If 35 is removed from the data, 30, 34, 35, 36, 37, 38, 39, 40 then the median increases by ______.
The Median when it is given that mode and mean are 8 and 9 respectively, is ______.
In a hospital, weights of new born babies were recorded, for one month. Data is as shown:
| Weight of new born baby (in kg) | 1.4 - 1.8 | 1.8 - 2.2 | 2.2 - 2.6 | 2.6 - 3.0 |
| No of babies | 3 | 15 | 6 | 1 |
Then the median weight is?
Consider the data:
| Class | 65 – 85 | 85 – 105 | 105 – 125 | 125 – 145 | 145 – 165 | 165 – 185 | 185 – 205 |
| Frequency | 4 | 5 | 13 | 20 | 14 | 7 | 4 |
The difference of the upper limit of the median class and the lower limit of the modal class is:
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.
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.
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 |
- Find the 'median' distance travelled by a bus.
- Find the 'mean (average)' distance travelled by a bus.
The following table shows classification of number of workers and number of hours they work in software company. Prepare less than upper limit type cumulative frequency distribution table:
| Number of hours daily | Number of workers |
| 8 - 10 | 150 |
| 10 - 12 | 500 |
| 12 - 14 | 300 |
| 14 - 16 | 50 |
