Advertisements
Advertisements
Question
Calculate the mean, mode and median for the following data:
22, 15, 10, 10, 24, 21
Advertisements
Solution
Arranging in ascending order: 10, 10, 15, 21, 22, 24
Mean = `"Sum of all observations"/"Number of observations"`
= `(10 + 10 + 15 + 21 + 22 + 24)/6`
= `102/6`
= 17
Here n = 6, even
∴ Medain = `1/2{("n"/2)^"th" "term" + ("n"/2 + 1)^"th" "term"}`
= `1/2{(6/2)^"th" "term" + (6/2 + 1)^"th" "term"}`
= `1/2{3^"th" "term" + 4^"th" "term"}`
= `1/2{15 + 21}`
= `1/2(36)`
∴ Median = 18
Clearly the data 10 occurs maximum number of times and so 10 is the mode.
∴ Mode = 10
APPEARS IN
RELATED QUESTIONS
Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14
In the following table, the information is given about the number of families and the siblings in the families less than 14 years of age. Find the mode of the data.
| No. of siblings | 1 | 2 | 3 | 4 |
| Families | 15 | 25 | 5 | 5 |
A particular observation which occurs maximum number of times in a given data is called its
The colors used by the six students for drawing is blue, orange, yellow, white, green and blue then the mode is ________
Find the mode of data 3, 6, 9, 12, 15
Find the modes of the data 2, 1, 1, 3, 4, 5, 2
Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children. What measure of central tendency would be most appropriate if the data is provided to him?
In a set of observations, the observation that occurs the most often is called ______.
The marks in a subject for 12 students are as follows:
31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29
For the given data, find the mode
Find the mode of the given data:
10, 8, 4, 7, 8, 11, 15, 8, 4, 2, 3, 6, 8
