Advertisements
Advertisements
प्रश्न
The following number of goals were scored by a team in a series of 10 matches:-
2, 3, 4, 5, 0, 1, 3, 3, 4, 3
Find the mean, median and mode of these scores.
उत्तर
The number of goals scored by the team is
2, 3, 4, 5, 0, 1, 3, 3, 4, 3
`"Mean of data "="Sum of all observations"/"Total number of observations"`
`"Mean of score "=(2+3+4+5+0+1+3+3+4+3)/10 = 28/10=2.8"goals"`
Arranging the number of goals in ascending order,
0, 1, 2, 3, 3, 3, 3, 4, 4, 5
The number of observations is 10, which is an even number. Therefore, median score will be the mean of 10/2 i.e., 5th and (10/2)+1 i.e., 6th observation while arranged in ascending or descending order.
`"Median score"="fifth observation + sixth observation"/2`
`= (3+3)/2`
`=6/2`
= 3
Mode of data is the observation with the maximum frequency in data.
Therefore, the mode score of data is 3 as it has the maximum frequency as 4 in the data.
APPEARS IN
संबंधित प्रश्न
The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.
29, 32, 48, 50, x, x + 2, 72, 78, 84, 95
Explain, by taking a suitable example, how the arithmetic mean alters by
(i) adding a constant k to each term
(ii) subtracting a constant k from each them
(iii) multiplying each term by a constant k and
(iv) dividing each term by a non-zero constant k.
The traffic police recorded the speed (in kmlhr) of 10 motorists as 47, 53, 49, 60, 39, 42, 55,57, 52, 48. Later on an error in recording instrument was found. Find the correct overagespeed of the motorists if the instrument recorded 5 km/hr less in each case.
Five coins were simultaneously tossed 1000 times and at each toss the number of heads wereobserved. The number of tosses during which 0, 1, 2, 3, 4 and 5 heads were obtained are shown in the table below. Find the mean number of heads per toss.
| No. of heads per toss | No.of tosses |
| 0 | 38 |
| 1 | 144 |
| 2 | 342 |
| 3 | 287 |
| 4 | 164 |
| 5 | 25 |
| TOtal | 1000 |
Find the missing frequencies in the following frequency distribution if its known that the mean of the distribution is 50.
| x | 10 | 30 | 50 | 70 | 90 | |
| f | 17 | f1 | 32 | f2 | 19 | Total =120 |
Find the mode of the following data :
14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18
A, B, C are three sets of values of x:
(a) A: 2, 3, 7, 1, 3, 2, 3
(b) 7, 5, 9, 12, 5, 3, 8
(c) 4, 4, 11, 7, 2, 3, 4
Which one of the following statements is correct?
The empirical relation between mean, mode and median is
The monthly salaries in rupees of 30 workers in a factory are given below.
5000, 7000, 3000, 4000, 4000, 3000, 3000, 3000, 8000, 4000, 4000, 9000, 3000, 5000, 5000, 4000, 4000, 3000, 5000, 5000, 6000, 8000, 3000, 3000, 6000, 7000, 7000, 6000, 6000, 4000
From the above data find the mean of monthly salary.
There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be –3.5. The mean of the given numbers is ______.
