1.The weights (in kg) of 50 wrestlers are recorded in the following table: Find the mean weight of the wrestlers.
Weight(in kg)
100-110
110 -120
120 -130
130 -140
140-150
No.of wrestlers
4
14
21
8
3
2. The following are the ages of 300 patients getting medical treatment in a hospital on a particular day: Find mean.
Age (in years)
10 -20
20 -30
30 -40
40 -50
50 -60
60 -70
No.of patients
60
42
55
70
53
20
3. The daily income( in Rs. )of a sample of 50 employees are tabulated as follows: Find the mean daily income of employees.
Income
1- 200
201 - 400
401-600
601 - 800
No.of employees
14
15
14
7
4. The following table gives the number of pages written by Sarika for completing her own book for 30 days. Find the mean number of pages written per day.
No.of pages written per day
16 -18
19- 21
22 -24
25 -27
28 -30
No.of days
1
3
4
9
13
5. An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table: Determine the mean number of seats occupied over the flights.
No.of seats
100 - 104
104 - 108
108 -112
112- 116
116- 120
Frequency
15
20
32
18
15
Answers
Answer:
123.4kg
Step-by-step explanation:
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Answer:
Step-by-step explanation:
To find the mean weight of the wrestlers, we need to calculate the weighted average of the weights in each category.
The midpoint of the first category is 105, and the number of wrestlers in this category is 4. Similarly, the midpoints and frequencies of the other categories are:
Using the formula for weighted mean, we get:
Mean weight = (1054 + 11514 + 12521 + 1358 + 145*3) / (4 + 14 + 21 + 8 + 3)
Mean weight = 121.4 kg (approx.)
Therefore, the mean weight of the wrestlers is approximately 121.4 kg.
To find the mean age of the patients, we need to calculate the weighted average of the ages in each category.
The midpoint of the first category is 15, and the number of patients in this category is 60. Similarly, the midpoints and frequencies of the other categories are:
Using the formula for weighted mean, we get:
Mean age = (1560 + 2542 + 3555 + 4570 + 5553 + 6520) / (60 + 42 + 55 + 70 + 53 + 20)
Mean age = 41.34 years (approx.)
Therefore, the mean age of the patients is approximately 41.34 years.
To find the mean daily income of the employees, we need to calculate the weighted average of the incomes in each category.
The midpoint of the first category is 100, and the number of employees in this category is 14. Similarly, the midpoints and frequencies of the other categories are:
To find the mean number of pages written per day, we need to calculate the weighted average of the pages written in each category.
The midpoint of the first category is 17, and the number of days in this category is 1. Similarly, the midpoints and frequencies of the other categories are:
Using the formula for weighted mean, we get:
Mean pages written per day = (171 + 20.53 + 234 + 269 + 29*13) / (1 + 3 + 4 + 9 + 13)
Mean pages written per day = 25
Therefore, the mean number of pages written per day is 25.
To find the mean number of seats occupied over the flights, we need to calculate the weighted average of the seats occupied in each category.
The midpoint of the first category is 102.
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