The following number of goals were scored by a team in a series of 10 matche. 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores.
Answers
28/10=2.8
the mean of 10 match
Step-by-step explanation:
Mean = Average = Sum of all the observations/Total number of observations
= (2+3+4+5+0+1+3+3+4+3)/10
= 28/10
= 2.8
Median,
To find the median, we first arrange the data in ascending order.
0, 1, 2, 3, 3, 3, 3, 4, 4, 5
Here,
Number of observations (n) = 10
Since the number of observations are even, the median can be calculated as:
Ncert solutions class 9 chapter 14-15
= 3
Mode,
To find the mode, we first arrange the data in ascending order.
0, 1, 2, 3, 3, 3, 3, 4, 4, 5.
Here,
We find that 3 occurs most frequently (4 times)
∴ Mode = 3
2. In a mathematics test given to 15 students, the following marks (out of 100) are recorded:
41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
Find the mean, median and mode of this data.
Solution:
Mean=Average = Sum of all the observations/Total number of observations
= (41+39+48+52+46+62+54+40+96+52+98+40+42+52+60)/15
= 822/15
= 54.8
Median,
To find the median, we first arrange the data in ascending order.
39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98
Here,
Number of observations (n) = 15
Since the number of observations are odd, the median can be calculated as:
Median = [(n+1)/2]th observation
= [(15+1)/2]th observation
= (16/2)th observation
= 8th observation
= 52
Mode,
To find the mode, we first arrange the data in ascending order.
39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98
Here,
We find that 52 occurs most frequently (3 times)
∴ Mode = 52
3. 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
Solution:
Number of observations (n) = 10
Given that Median = 63
Since the number of observations are even, the median can be calculated as:
63 = [5th observation+(5+1)th observation]/2
63 = [5th observation+6th observation]/2
63 = (x+x+2)/2
63 = (2x+2)/2
x = 63-1
x = 62
4. Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.
Solution:
Mode,
To find the mode, we first arrange the given data in ascending order.
14,14,14,14,17,18,18,18,22,23,25,28
Here,
We find that 14 occurs most frequently (4 times)
∴ Mode = 14
