Advertisements
Advertisements
Question
A study of the yield of 150 tomato plants, resulted in the record:
| Tomatoes per Plant | 1 - 5 | 6 - 10 | 11 - 15 | 16 - 20 | 21 - 25 |
| Number of Plants | 20 | 50 | 46 | 22 | 12 |
Calculate the mean of the number of tomatoes per plant.
Solution
| Tomatoes per Plant | Mid-Point (x) | Number of Plants (f) | fx |
| 1 - 5 | 3 | 20 | 60 |
| 6 - 10 | 8 | 50 | 400 |
| 11 - 15 | 13 | 46 | 598 |
| 16 - 20 | 18 | 22 | 396 |
| 21 - 25 | 23 | 12 | 276 |
| Total | 150 | 1730 |
Mean = `(sumfx)/(sumf)`
= `(1730)/(140)`
= 11.53
APPEARS IN
RELATED QUESTIONS
The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs.18. Find the missing frequency f.
| Daily pocket allowance (in Rs | 11 - 13 | 13 - 15 | 15 - 17 | 17 - 19 | 19 - 21 | 21 - 23 | 23 - 25 |
| Number of workers | 7 | 6 | 9 | 13 | f | 5 | 4 |
The weekly observations on cost of living index in a certain city for the year 2004 - 2005 are given below. Compute the weekly cost of living index.
| Cost of living Index | Number of Students |
| 1400 - 1500 | 5 |
| 1500 - 1600 | 10 |
| 1600 - 1700 | 20 |
| 1700 - 1800 | 9 |
| 1800 - 1900 | 6 |
| 1900 - 2000 | 2 |
Find the mean of the following frequency distribution, using the assumed-mean method:
| Class | 100 – 120 | 120 – 140 | 140 – 160 | 160 – 180 | 180 – 200 |
| Frequency | 10 | 20 | 30 | 15 | 5 |
Find the mean of the following data, using step-deviation method:
| Class | 5 – 15 | 15-20 | 20-35 | 35-45 | 45-55 | 55-65 | 65-75 |
| Frequency | 6 | 10 | 16 | 15 | 24 | 8 | 7 |
Find the arithmetic mean of the following frequency distribution using step-deviation method:
| Age (in years) | 18 – 24 | 24 – 30 | 30 – 36 | 36 – 42 | 42 – 48 | 48 – 54 |
| Number of workers | 6 | 8 | 12 | 8 | 4 | 2 |
Find the mean of the following data using step-deviation method:
| Class | 500 – 520 | 520 – 540 | 540 – 560 | 560 – 580 | 580 – 600 | 600 – 620 |
| Frequency | 14 | 9 | 5 | 4 | 3 | 5 |
The following table shows the income of farmers in a grape season. Find the mean of their income.
|
Income
(Thousand Rupees)
|
20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 |
| Farmers | 10 | 11 | 15 | 16 | 18 | 14 |
There are 50 students in a class in which 40 are boys and rest are girls. The average weight of the class is 44 kgs and the average weight of the girls is 40 kgs. Find the average weight of the boys.
(For an arranged data) The median is the ______.
The lengths of 40 leaves of a plant are measured correct to the nearest millimeter, and the data obtained is represented in the following table:
| Length (in mm) | Number of leaves |
| 118−126 | 3 |
| 127–135 | 5 |
| 136−144 | 9 |
| 145–153 | 12 |
| 154–162 | 5 |
| 163–171 | 4 |
| 172–180 | 2 |
Find the mean length of the leaves.
