Question

Question 1 The following number of goals was 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.

Class 9 - Math - Statistics Page 269"

Answer 1

Hi friend..

Using the (((I show in pic));the mean is

So,Bar x =2+3+4+5+0+1+3+3+4+3/10

=29/10

2.8

````````To find the median ,arrange the given data in ascending order,as follow```````

0,1,2,3,3,3,3,4,4,5.

There are 10 terms .So, there are two middle terms ,the (10/2)th and (10/2+1)th.

the 5th and 6th terms .

so, the median is the mean of the values of the 5th and 6th terms .

So that,the median =3+3/2=3

Again, in the data 3 occurs most frequently ,4 times ,So, mode is 3...

Hope it is helpful...

Answer 2

Mean:

The mean of a number of observation is the sum of the values of all the observations divided by the total number of observations.

Median:
Median is that value of the given observation which divides it into exactly two parts.

Firstly arrange the given observations in ascending or descending order. Then

i)if n is odd then median= value of (n+1/2)th observation

ii)if n is even then median= ½[value of (n/2)th + (n/2 +1) th observations]

Mode:
Mode is that value of the given observation which occurs most frequently.

________________________________________________________

Solution:

For mean:

Mean=sum of all the observations/total number of observations

Mean=( 2 + 3 + 4 + 5 + 0 + 1 + 3 + 3 + 4 + 3)/10= 28/10=2.8

For median:

Arranging the given data in ascending order
0, 1, 2, 3, 3,3,3,4,4,5

Number of observations (n)= 10[even]

Median=½[value of (n/2)th observation+ (n/2 +1) th observation]

Median=[ (10/2)th observation + (10/2 +1)th observation]/2

Median=( 5th Observation+ 6th observation) /2

= (3+3)/2= 6/2=3
Median= 3

For mode:

Arranging the given data in ascending order
0, 1, 2, 3, 3,3,3,4,4,5

Here 3 occurs most frequently (4 times).

Mode= 3

================================================================

Hope this will help you....