Advertisements
Advertisements
Question
The number of goals scored by a football team is given below. Find the mode and median for the data of 2, 3, 2, 4, 6, 1, 3, 2, 4, 1, 6
Solution
Arranging the given data in ascending order: 1, 1, 2, 2, 2, 3, 3, 4, 4, 6, 6
Clearly 2 occurs at the maximum of 3 times and so mode = 2
Here number of data n = 11, odd
∴ Median = `(("n" + 1)/2)^"th"` term
= `((11 + 1)/2)^"th"` term
= `(12/2)^"th"` term
= 6th term
Median = 3
APPEARS IN
RELATED QUESTIONS
If 69.5 is the mean of 72, 70, ‘x’, 62, 50, 71, 90, 64, 58 and 82, find the value of ‘x’.
From the data given below, calculate the mean wage, correct to the nearest rupee.
Category | A | B | C | D | E | F |
Wages (Rs/day) | 50 | 60 | 70 | 80 | 90 | 100 |
No. of workers | 2 | 4 | 8 | 12 | 10 | 6 |
- If the number of workers in each category is doubled, what would be the new mean wage?
- If the wages per day in each category are increased by 60%; what is the new mean wage?
- If the number of workers in each category is doubled and the wages per day per worker are reduced by 40%, what would be the new mean wage?
The contents of 100 match boxes were checked to determine the number of matches they contained.
No. of matches | 35 | 36 | 37 | 38 | 39 | 40 | 41 |
No. of boxes | 6 | 10 | 18 | 25 | 21 | 12 | 8 |
- Calculate, correct to one decimal place, the mean number of matches per box.
- Determine, how many extra matches would have to be added to the total contents of the 100 boxes to bring the mean up to exactly 39 matches.
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
Find the mean of all numbers from 7 to 17.
Find the median of:
233, 173, 189, 208, 194, 204, 194, 185, 200 and 220.
Find the mean of 53, 61, 60, 67 and 64.
Find the mean of the first six multiples of 5.
Find the mean of: first eight natural numbers
Find the median of 80, 48, 66, 61, 75, 52, 45 and 70