Advertisements
Advertisements
प्रश्न
The following series relates to the daily income of workers employed in a firm. Compute the highest income of the lowest 50% of workers.
| Daily Income (in Rs) | 10-14 | 15-19 | 20-24 | 25–29 | 30-34 | 35-39 |
| Number of workers | 5 | 10 | 15 | 20 | 10 | 2 |
उत्तर
|
Daily Income (in Rs) Class Interval |
No. of Workers (f) |
Cumulative frequency (CF) |
| 9.5 - 14.5 | 5 | 5 |
| 14.5 - 19.5 | 10 | 15 |
| 19.5 - 24.5 | 15 | 30 |
| 24.5 - 29.5 | 20 | 50 |
| 29.5 - 34.5 | 10 | 60 |
| 34.5 - 39.5 | 5 | 65 |
| ∑f = 65 |
Highest income of lowest 50% workers
∑f = N = 65
Median class = Size of `(N/2)^"th"` item
= Size of `(65/2)^"th"` item = 32.5th item
32.5th item lies in the 50th cumulative frequency and the corresponding class interval is 24.5 - 29.5.
Median = `L + (N/2 - CF)/f xx i`
= `24.5 + (32.5 - 30)/20 xx 5`
= `24.5 + 2.5/20 xx 5`
= Rs 25.125
APPEARS IN
संबंधित प्रश्न
Which average would be suitable in the following case?
The average intelligence of students in a class.
Which average would be suitable in the following case?
When quantities of the variable are in ratios.
Which average would be suitable in the following case?
In case of an open-ended frequency distribution.
The most suitable average for qualitative measurement is ______
The sum of deviation of items from the median is zero.
The Median is unduly affected by extreme observations.
The size of the landholdings of 380 families in a village is given below. Find the median size of landholdings.
|
Size of Land Holdings (in acres) |
Less than 100 |
100 - 200 |
200 - 300 |
300 - 400 |
400 and above |
|
Number of families |
40 |
89 |
148 |
64 |
39 |
If the arithmetic mean of the data given below is 28, find the median of the series:
|
Profit per retail shop (in Rs) |
0 - 10 |
10 - 20 |
20 - 30 |
30 - 40 |
40 - 50 |
50 - 60 |
|
Number of retail shops |
12 |
18 |
27 |
- |
17 |
6 |
The following table gives production yield in kg. per hectare of wheat of 150 farms in a village. Calculate the median values.
| Production yield (kg. per hectare) | 50 - 53 | 53 - 56 | 56 - 59 | 59 - 62 | 62 - 65 | 65 - 68 | 68 - 71 | 71 - 74 | 74 - 77 |
| Number of farms | 3 | 8 | 14 | 30 | 36 | 28 | 16 | 10 | 5 |
