Advertisements
Advertisements
Question
Find the mean of the following distribution:
x | 10 | 30 | 50 | 70 | 89 |
f | 7 | 8 | 10 | 15 | 10 |
Solution
Calculation of Mean:
`x_i` | `f_i` | `f_ix_i` |
10 | 7 | 70 |
30 | 8 | 240 |
50 | 10 | 500 |
70 | 15 | 1050 |
59 | 10 | 890 |
`sumf_i` = N = 50 | `sumf_ix_i` = 2750 |
∴ Mean = `(sumf_ix_i)/"N"`
= `(2750)/(50)`
= 55.
APPEARS IN
RELATED QUESTIONS
If the mean of the following data is 18.75. Find the value of p.
x | 10 | 15 | P | 25 | 30 |
f | 5 | 10 | 7 | 8 | 2 |
The following table shows the marks scored by 140 students in an examination of a certain paper:
Marks: | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 |
Number of students: | 20 | 24 | 40 | 36 | 20 |
Calculate the average marks by using all the three methods: direct method, assumed mean deviation and shortcut method.
The mean of the following frequency data is 42, Find the missing frequencies x and y if the sum of frequencies is 100
Class interval |
0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
Frequency | 7 | 10 | x | 13 | y | 10 | 14 | 9 |
Find x and y.
If the arithmetic mean of x, x + 3, x + 6, x + 9, and x + 12 is 10, the x =
The mean of the following distribution is 6. Find the value at P:
x | 2 | 4 | 6 | 10 | P + 5 |
f | 3 | 2 | 3 | 1 | 2 |
A frequency distribution of the life times of 400 T.V., picture tubes leased in tube company is given below. Find the average life of tube:
Life time (in hrs) | Number of tubes |
300 - 399 | 14 |
400 - 499 | 46 |
500 - 599 | 58 |
600 - 699 | 76 |
700 - 799 | 68 |
800 - 899 | 62 |
900 - 999 | 48 |
1000 - 1099 | 22 |
1100 - 1199 | 6 |
The median from the table is?
Value | Frequency |
7 | 2 |
8 | 1 |
9 | 4 |
10 | 5 |
11 | 6 |
12 | 1 |
13 | 3 |
The mean of the following distribution is
xi | 10 | 13 | 16 | 19 |
fi | 2 | 5 | 7 | 6 |
Calculate the mean of the following data:
Class | 4 – 7 | 8 – 11 | 12 – 15 | 16 – 19 |
Frequency | 5 | 4 | 9 | 10 |
Find the values of x and y if the mean and total frequency of the distribution are 25 and 50 respectively.
Class Interval | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 |
Frequency | 7 | x | 5 | y | 4 | 2 |