Advertisements
Advertisements
प्रश्न
Compute mean from the following data:
| Marks | 0 – 7 | 7 – 14 | 14 – 21 | 21 – 28 | 28 – 35 | 35 – 42 | 42 – 49 |
| Number of Students | 3 | 4 | 7 | 11 | 0 | 16 | 9 |
उत्तर
| Class | Frequency (f) | Cumulative Frequency (cf) |
| 0 – 7 | 3 | 3 |
| 7 – 14 | 4 | 7 |
| 14 – 21 | 7 | 14 |
| 21 - 28 | 11 | 25 |
| 28 – 35 | 0 | 25 |
| 35 – 42 | 16 | 41 |
| 42 – 49 | 9 | 50 |
| N = Σ𝑓 = 50 |
Now, N = 50 ⇒ `N/2` = 25.
The cumulative frequency just greater than 25 is 41 and the corresponding class is 35 – 42.
Thus, the median class is 35 – 42.
∴ l = 35, h = 7, f = 16, cf = c.f. of preceding class = 25 and `N/2` = 25.
Now,
Median =` l +((N/2−c_f)/f) × h`
Median `= 35 + ((25 − 25)/16) xx 7`
= 35 + 0
= 35
Hence, the median age is 35 years.
APPEARS IN
संबंधित प्रश्न
For a certain frequency distribution, the value of Mean is 101 and Median is 100. Find the value of Mode.
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`) .
From the following data, find:
Inter-quartile range
25, 10, 40, 88, 45, 60, 77, 36, 18, 95, 56, 65, 7, 0, 38 and 83
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 |
Find the median from the following data:
| Class | 1 – 5 | 6 – 10 | 11 – 15 | 16 – 20 | 21 – 25 | 26 – 30 | 31 – 35 | 35 – 40 | 40 – 45 |
| Frequency | 7 | 10 | 16 | 32 | 24 | 16 | 11 | 5 | 2 |
The prices of different articles and demand for them is shown in the following frequency distribution table. Find the median of the prices.
|
Price (Rupees)
|
20 less than | 20 – 40 | 40 – 60 | 60 – 80 | 80 – 100 |
| No. of articles | 140 | 100 | 80 | 60 | 20 |
The median of the following frequency distribution is 25. Find the value of x.
| Class: | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 |
| Frequency: | 6 | 9 | 10 | 8 | x |
Consider the following frequency distribution:
| Class | 0 – 6 | 6 – 12 | 12 – 18 | 18 – 24 | 24 – 30 |
| Frequency | 12 | 10 | 15 | 8 | 11 |
The median class is:
The median of first seven prime numbers is ______.
The median of first 10 natural numbers is ______.
