Question

1. the following numbers represent the number of goals scored by a soccer team in 10 games: 2, 3, 5, 2, 1, 4, 3, 2, 6, 3

find the:
a) mean:

b) median:

c) mode:

d) range:

Explanation:

Step1: List the data set

Data: 2, 3, 5, 2, 1, 4, 3, 2, 6, 3 (total 10 values)

Step2: Calculate the mean

Sum = 2+3+5+2+1+4+3+2+6+3 = 31
Mean = $\frac{31}{10}$ = 3.1

Step3: Find the median

Sorted data: 1,2,2,2,3,3,3,4,5,6
Median = average of 5th & 6th values: $\frac{3+3}{2}$ = 3

Step4: Identify the mode

Most frequent value: 2 and 3 (each appears 3 times)

Step5: Compute the range

Range = max - min = 6 - 1 = 5

Answer:

a) 3.1
b) 3
c) 2 and 3
d) 5