Question

The number of goals scored by a team in different tournaments are as follows: 4, 6, 2, 5, 1, 5, 5, 4
For the given data, find the (a) Mean (b) Median.

Answer 1

Given:

The number of goals scored by a team in different tournaments is as follows: 4, 6, 2, 5, 1, 5, 5, 4

To find:

find the (a) Mean (b) Median.

Solution :

The given data is: 4, 6, 2, 5, 1, 5, 5, 4

(a) Finding Mean:

• Mean is the average of the given data. To find the mean, first, we need to add all the given numbers then divide the sum by the number of values.

Mean = Sum of observations ÷ Total observations.

$\dfrac{4 + 6 + 2 + 5 + 1 + 5 + 5 + 4}{8}$

$= > \dfrac{32}{8} = 4$

Hence, Mean = 4.

(b) Finding Median:

• Median is the middle number in sorted data. To find the median, First, we need to set the given data in ascending order.
• If the given data is odd then the exact middle value is median.
• If the given data is even then add the middle two numbers and divide by 2.

Ascending order of the given data:

1, 2, 4, 4, 5, 5, 5, 6

Add the middle two numbers: 4 + 5 = 9

Divide it by 2: => 9/2 = 4.5

Hence, Median = 4.5

Answer 2

Given:

The number of goals scored by a team in different tournaments is as follows: 4, 6, 2, 5, 1, 5, 5, 4

To find:

find the (a) Mean (b) Median.

Solution :

The given data is: 4, 6, 2, 5, 1, 5, 5, 4  

(a) Finding Mean:  

• Mean is the average of the given data. To find the mean, first, we need to add all the given numbers then divide the sum by the number of values.

Mean = Sum of observations ÷ Total observations.

$=>\frac{32}{8} =4$

Hence, Mean = 4.

(b) Finding Median:  

• Median is the middle number in sorted data. To find the median, First, we need to set the given data in ascending order.

• If the given data is odd then the exact middle value is median.
• If the given data is even then add the middle two numbers and divide by 2.

Ascending order of the given data:

1, 2, 4, 4, 5, 5, 5, 6  

Add the middle two numbers: 4 + 5 = 9

Divide it by 2: => 9/2 = 4.5

Hence, Median = 4.5