At the end of the football season a team analysis the no of goals they conceded each game work out the mean no of goals conceded Conceded goals 0,1,2,3,4 and frequency 2,4,8,10,6

Based on the no. of goals conceded during the month, the mean goals conceded is 2.5 goals

When given frequency, you can calculate the mean as follows:

= ∑ (Conceded goal x Frequency of conceded goal) / Sum of frequencies

= ( (0 x 2) + (1 x 8) + (2 x 4) + (3 x 10) + (4 x 6) ) / (8 + 4 + 10 + 6)

= 2.5

In conclusion, a total of 2.5 goals was conceded per game.

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Median = 3

Mean = 2.5

Step-by-step explanation:

Median is the middle number of data after rearranging either ascending order or descending order.

For a group data, we need to locate the (N+1)/2 th number before locating the corresponding median.

N is the total frequency = 30

Median = 30+1/2

= 31/2 = 15.5th number

Next is cumulating the number on the frequency until we reach the 15.5th value. This falls on the 24th cumulative value which is the fourth column.

Therefore the median number = 3

b) Mean is the average of the numbers.

Mean = Σfx/N

Σfx = 0(2)+1(8)+2(4)+3(10)+4(6)

Σfx = 0+8+8+30+24

Σfx = 70

N = 30

Mean = 70/30

Mean = 2.5

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step-by-step explanation: