Advertisements
Advertisements
Question
Calculate the mean, mode and median for the following data:
22, 15, 10, 10, 24, 21
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
The scores in mathematics test (out of 25) of 15 students is as follows:
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
Find the mode and median of this data. Are they same?
Find the mean and the mode for the following data:
| Term | 18 | 22 | 23 | 30 | 34 | 38 |
| Frequency | 3 | 5 | 10 | 2 | 8 | 2 |
Find the mode of 7, 7, 8, 10, 10, 11, 10, 13, 14
The ages (in years) of 11 cricket players are given below. 25, 36, 39, 38, 40, 36, 25, 25, 38, 26, 36. Find the mode of their ages.
Find the mode of data 3, 6, 9, 12, 15
The number of trees in different parks of a city are 33, 38, 48, 33, 34, 34, 33 and 24. The mode of this data is ______.
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?
Which measure of central tendency best represents the data of the most popular politician after a debate?
Find the mode of the given data:
10, 8, 4, 7, 8, 11, 15, 8, 4, 2, 3, 6, 8
Observe the data and answer the questions that follow:
16, 15, 16, 16, 8, 15, 17
What is the least number of data values that must be put in to change the mode to 17? Name them.
