Advertisements
Advertisements
Question
Find the median of 18, 19, 20, 23, 22, 20, 17, 19, 25 and 21
Solution
18, 19, 20, 23, 22, 20, 17, 19, 25 and 21
Arranging in ascending order: 17, 18, 19, 19, 20, 20, 21, 22, 23, 25
Here, numbers of terms = 10 which is even.
∴ Median =`{"n"/2"th term"+("n"/2+1)"th term"}`
`= 1/2{10/2"th term"+(10/2+1)"th term"}`
= `1/2` {5th term + 6th term}
= `1/2` {20 + 20}
= `1/2xx40` = 20
Hence, median = 20
APPEARS IN
RELATED QUESTIONS
The following are the marks obtained by 70 boys in a class test:
Marks | No. of boys |
30 – 40 | 10 |
40 – 50 | 12 |
50 – 60 | 14 |
60 – 70 | 12 |
70 – 80 | 9 |
80 – 90 | 7 |
90 – 100 | 6 |
Calculate the mean by:
Short-cut method
Following 10 observations are arranged in ascending order as follows.
2, 3, 5, 9, x + 1, x + 3, 14, 16, 19, 20
If the median of the data is 11, find the value of x.
Find the mean of first 10 prime numbers.
Find the mean of the following frequency distribution by the step deviation method :
Class | 100-110 | 110-120 | 120-130 | 130-140 | 140-150 |
Frequency | 15 | 18 | 32 | 25 | 10 |
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:
Mangoes | 0-9 | 10-19 | 20-29 | 30-39 | 40-49 | 50-59 |
No. of trees | 10 | 16 | 20 | 14 | 6 | 4 |
If the mean of 6, 4, 7, p and 10 is 8, find the value of p.
Find the median of 5, 7, 9, 11, 15, 17, 2, 23 and 19.
The median of the data 24, 29, 34, 38, 35 and 30, is ___________
The measures of central tendency may not lie between the maximum and minimum values of data.