Advertisements
Advertisements
Question
Find the median of the given data:
14, −3, 0, −2, −8, 13, −1, 7
Solution
Arranging the data is ascending order: −8, −3, −2, −1, 0, 7, 13, 14
Here number of data n = 8, even
∴ Median = `1/2{("n"/2)^"th" "term" + ("n"/2 + 1)^"th" "term"}`
= `1/2{(8/2)^"th" "term" + (8/2 + 1)^"th" "term"}`
= `1/2{4^"th" "term" + 5^"th" "term"}`
= `1/2{-1 + 0}`
= `1/2(-1)`
= − 0.5
∴ Median = – 0.5
APPEARS IN
RELATED QUESTIONS
Find the median and mode for the set of numbers:
2, 2, 3, 5, 5, 5, 6, 8 and 9
The marks of 20 students in a test were as follows:
2, 6, 8, 9, 10, 11, 11, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 18, 19 and 20.
Calculate:
- the mean
- the median
- the mode
What is the median of 7, 10, 7, 5, 9, 10?
Find the mean of the following frequency distribution :
| Class | 101-110 | 111-120 | 121-130 | 131-140 | 141-150 | 151-160 |
| Frequency | 11 | 16 | 20 | 30 | 14 | 9 |
Find the mode of the following:
21, 22, 28, 23, 24, 21 26, 22, 29, 27, 21, 21, 26, 24, 23
Draw a histogram for the following distribution and estimate the mode:
| I.Q. Score | 80-100 | 100-120 | 120-140 | 140-160 | 160-180 | 180-200 |
| No. of Students | 6 | 9 | 16 | 13 | 4 | 2 |
Draw a histogram for the following distribution and estimate the mode:
| Marks% | 30-39 | 40-49 | 50-59 | 60-69 | 70-79 | 80-89 | 90-99 |
| No. of students | 14 | 26 | 40 | 92 | 114 | 78 | 36 |
The mean of a certain number of observations is 32. Find the resulting mean, if the observation is, increased by 60%.
The mean of 5 numbers is 27. If one new number is included, the new mean is 25. Find the included number.
If the median of a, 2a, 4a, 6a, 9a is 8, then find the value of a is
