Advertisements
Advertisements
प्रश्न
Find the mean of the following distribution:
x | 4 | 6 | 9 | 10 | 15 |
f | 5 | 10 | 10 | 7 | 8 |
उत्तर
Calculation of Arithmetic MEan:
`x_i` | `f_i` | `f_ix_i` |
4 | 5 | 20 |
6 | 10 | 60 |
9 | 10 | 90 |
10 | 7 | 70 |
15 | 8 | 120 |
N = `sumf_i` = 40 | `sumf_ix_i` = 360 |
∴ Mean = `bar"X" = (sumf_ix_i)/(sumf_i) = (360)/(40)` = 9.
APPEARS IN
संबंधित प्रश्न
The measurements (in mm) of the diameters of the head of the screws are given below:
Diameter (in mm) | No. of Screws |
33 — 35 | 10 |
36 — 38 | 19 |
39 — 41 | 23 |
42 — 44 | 21 |
45 — 47 | 27 |
Calculate mean diameter of head of a screw by ‘Assumed Mean Method’.
Find the mean of the following frequency distribution is 57.6 and the total number of observation is 50.
Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 |
Frequency | 7 | `f_1` | 12 | `f_2` | 8 | 5 |
The following table gives the literacy rate (in percentage) in 40 cities. Find the mean literacy rate, choosing a suitable method .
Literacy rate(%) |
45 – 55 | 55 – 65 | 65 – 75 | 75 – 85 | 85 – 95 |
Number of cities |
4 | 11 | 12 | 9 | 4 |
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 |
The distances covered by 250 public transport buses in a day is shown in the following frequency distribution table. Find the median of the distance.
Distance (km)
|
200 - 210 | 210 - 220 | 220 - 230 | 230 - 240 | 240 - 250 |
No. of buses | 40 | 60 | 80 | 50 | 20 |
In X standard, there are three sections A, B and C with 25, 40 and 35 students respectively. The average marks of section A is 70%, section B is 65% and of section C is 50%. Find the average marks of the entire X standard.
Find the mean of the following distribution:
x | 10 | 30 | 50 | 70 | 89 |
f | 7 | 8 | 10 | 15 | 10 |
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 |
Mean of n numbers x1, x2, … xn is m. If xn is replaced by x, then new mean is ______.
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 |