Question

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​

Answer 1

Answer:

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

Answer 2

Answer:

Step-by-step explanation:

Given the data.

Goals Conceded:......0_1_2_3_..4

Frequency..................2_4_8._10_6

A. So, the median of ungrouped data. It is the middle number, so we have to to the total frequency

Frequency = 2+4+8+10+6 = 30

Σf = 30

So, the median is the N/2 term

M = 30/2 = 15th term

So, 2+4+8=14, so the 15th falls at 10 frequency and it's value is 3.

Median = 3

B. Mean of ungrouped data

X = Σfi•xi / Σf

X = [(0×2)+(1×4)+(2×8)+(3×10)+(4×6)] / 30

X = (0 + 4 + 16 + 30 + 24) / 30

X = 74 / 30

X = 2.47