Advertisements
Advertisements
प्रश्न
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.
उत्तर
11, 12, 14, (x – 2), (x + 4), (x + 9), 32, 38, 47
n = 9, odd
∴ Median = `((9 + 1)/(2))^(th)`
24 = 5th observation = (x + 4)
24 = x + 4 ...(As median = 24)
24 – 4 = x
`=>` x = 20
∴ Observation are 11, 12, 14, (20 – 2), (20 + 4), (20 + 9), 32, 38, 47
or
11, 12, 14, 18, 24, 29, 32, 38, 47
Mean = `barX`
= `(11 + 12 + 14 + 18 + 24 + 29 + 32 + 38 + 47)/(9)`
= `(225)/(9)`
= 25
APPEARS IN
संबंधित प्रश्न
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 |
Calculate the median from the following data:
| Rent (in Rs.): | 15 - 25 | 25 - 35 | 35 - 45 | 45 - 55 | 55 - 65 | 65 - 75 | 75 - 85 | 85 - 95 |
| No. of Houses: | 8 | 10 | 15 | 25 | 40 | 20 | 15 | 7 |
Compute the median for the following data:
| Marks | No. of students |
| Less than 10 | 0 |
| Less than 30 | 10 |
| Less than 50 | 25 |
| Less than 70 | 43 |
| Less than 90 | 65 |
| Less than 110 | 87 |
| Less than 130 | 96 |
| Less than 150 | 100 |
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 |
The median of first 10 prime numbers is
If 35 is removed from the data: 30, 34, 35, 36, 37, 38, 39, 40, then the median increased by
Find the Median of the following distribution:
| x | 3 | 5 | 10 | 12 | 8 | 15 |
| f | 2 | 4 | 6 | 10 | 8 | 7 |
Weekly income of 600 families is tabulated below:
| Weekly income (in Rs) |
Number of families |
| 0 – 1000 | 250 |
| 1000 – 2000 | 190 |
| 2000 – 3000 | 100 |
| 3000 – 4000 | 40 |
| 4000 – 5000 | 15 |
| 5000 – 6000 | 5 |
| Total | 600 |
Compute the median income.
The monthly expenditure on milk in 200 families of a Housing Society is given below:
| Monthly Expenditure (in ₹) |
1000 – 1500 | 1500 – 2000 | 2000 – 2500 | 2500 – 3000 | 3000 – 3500 | 3500 – 4000 | 4000 – 4500 | 4500 – 5000 |
| Number of families | 24 | 40 | 33 | x | 30 | 22 | 16 | 7 |
Find the value of x and also, find the median and mean expenditure on milk.
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 |
