Advertisements
Advertisements
Question
Use the table given below to find:
(a) The actual class limits of the fourth class.
(b) The class boundaries of the sixth class.
(c) The class mark of the third class.
(d) The upper and lower limits of the fifth class.
(e) The size of the third class.
Class Interval | Frequency |
30 - 34 | 7 |
35 - 39 | 10 |
40 - 44 | 12 |
45 - 49 | 13 |
50 - 54 | 8 |
55 - 59 | 4 |
Solution
(a) The actual class limit of the fourth class will be 44.5 - 49.5.
(b) The class boundaries of the sixth class will be 54.5 - 59.5
(c) The class mark of the third class will be the average of the lower bound and the upper bound of the interval. Therefore the class mark will be: `( 40 + 44)/( 2)` = 42
(d) The upper and lower limit of the fifth class is 54 and 50 respectively.
(e) The size of the third class will be 44 - 40 + 1 = 5.
APPEARS IN
RELATED QUESTIONS
The following data shows the number of students using different modes of transport:
Modes of Transport | Number of Students |
Bicycle | 140 |
Bus | 100 |
Walk | 70 |
Train | 40 |
Car | 10 |
From this table, find the central angle (θ) for the Mode of Transport ‘Bus’.
The following table shows the number of students and the time they utilized daily for their studies. Find the mean time spent by students for their studies by direct method.
Time (hrs.) | 0 - 2 | 2 - 4 | 4 - 6 | 6 - 8 | 8 - 10 |
No. of students | 7 | 18 | 12 | 10 | 3 |
A milk centre sold milk to 50 customers. The table below gives the number of customers and the milk they purchased. Find the mean of the milk sold by direct method.
Milk Sold (Litre) | 1 – 2 | 2 – 3 | 3 – 4 | 4 – 5 | 5 – 6 |
No. of Customers | 17 | 13 | 10 | 7 | 3 |
A frequency distribution of funds collected by 120 workers in a company for the drought affected people are given in the following table. Find the mean of the funds by 'step deviation' method.
Fund (Rupees)
|
0 - 500 | 500 - 1000 | 1000 - 1500 | 1500 - 2000 | 2000 - 2500 |
No. of workers | 35 | 28 | 32 | 15 | 10 |
The following table gives the information of frequency distribution of weekly wages of 150 workers of a company. Find the mean of the weekly wages by 'step deviation' method.
Weekly wages (Rupees)
|
1000 - 2000 | 2000 - 3000 | 3000 - 4000 | 4000 - 5000 |
No. of workers | 25 | 45 | 50 | 30 |
The frequency distribution table shows the number of mango trees in a grove and their yield of mangoes. Find the median of data.
No. of Mangoes | 50 - 100 | 100 - 150 | 150 - 200 | 200 - 250 | 250 - 300 |
No. of trees | 33 | 30 | 90 | 80 | 17 |
The following table shows the classification of number of vehicles and their speeds on Mumbai-Pune express way. Find the median of the data.
Average Speed of
Vehicles (Km/hr) |
60 - 64 | 64 - 69 | 70 - 74 | 75 - 79 | 79 - 84 | 84 - 89 |
No. of vehicles | 10 | 34 | 55 | 85 | 10 | 6 |
Electricity used by some families is shown in the following table. Find the mode for use of electricity.
Use of electricity (Unit) | 0 - 20 | 20 - 40 | 40 - 60 | 60 - 80 | 80 - 100 | 100 - 120 |
No. of families | 13 | 50 | 70 | 100 | 80 | 17 |
Find the class mark of class 10 - 20.
The following table shows the number of students and the time they utilized daily for their studies. Find the mean time spent by students for their studies:
Time (hrs.) | No. of. students |
0 - 2 | 8 |
2 - 4 | 14 |
4 - 6 | 18 |
6 - 8 | 10 |
8 - 10 | 10 |