☰
Measures of Central Tendency
Calculate the mode of the following frequency distribution:
|
Size of Items : |
|||||||||||
|
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
|
|
No. of Items : |
|||||||||||
|
2 |
3 |
6 |
12 |
20 |
24 |
25 |
7 |
5 |
3 |
1 |
|
On inspection we find that 12 is the mode but it does not appear to be correct since maximum items are not concentrated around. This value let us use the grouping method to determine mode.
Grouping Table
|
Size Item |
Col. 1 |
CoL 2 |
CoL 3 |
CoL 4 |
CoL 5 |
CoL 6 |
|
7 |
2 |
|||||
|
8 |
3 |
5 |
9 |
11 |
21 |
|
|
9 |
6 |
|||||
|
10 |
12 |
18 |
32 |
|||
|
11 |
20 |
56 |
38 |
|||
|
12 |
24 |
44 |
69 |
|||
|
13 |
25 |
49 |
56 |
|||
|
14 |
7 |
32 |
12 |
37 |
||
|
15 |
5 |
8 |
15 |
|||
|
16 |
3 |
4 |
||||
|
17 |
1 |
9 |
Analysis Table
|
Col. No. |
Size of Items |
||||||||||
|
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
|
|
1 |
1 |
||||||||||
|
2 |
1 |
1 |
1 |
||||||||
|
3 |
1 |
||||||||||
|
4 |
1 |
1 |
1 |
1 |
|||||||
|
5 |
1 |
1 |
|||||||||
|
6 |
1 |
1 |
1 |
||||||||
|
Total |
1 |
3 |
5 |
4 |
1 |
||||||
Since size 12 occur the maximum number of times i.e. 5 times the mode is 12.
Sponsor Area
The size of land holdings of 380 families in a village is given below. Find the median size of land holdings.
|
Size of Land Holdings (in acres) |
Number of families |
|
less than 100 100-200 200-300 300-400 400 and above |
40 89 148 64 39 |
What do you mean by 'Average'?
Pocket expenditures of 6 students are (Rs.) 6,12,18,24,30 and 36 respectively. Find out arithmetic mean.
Name various kinds of statistical averages?
Give formula of weighted averages.
Give formula of calculating arithmetic average of a continuous series.
What is arithmetic mean?
Define median.
Define mode.
Give formula for finding out median.
Sponsor Area
Sponsor Area