Answer:
mean: 4
median: 5
mode: 5
Step-by-step explanation:
Hi there!
Let's first start with the mean
the mean is the average of all of the numbers; we add up how many hours each week each student spent playing video games and then divide it by how many people responded (9)
(0+5+7+5+3+0+9+5+2)/9
add all of the numbers on top
36/9
divide
4
the mean is 4
now find the median, or the value that separates the upper half from the lower half of the data (it's the "center" value).
first, list the numbers in order from least to greatest
0,0,2,3,5,5,5,7,9
now get rid of the largest number and the smallest number (0 and 9)
the set is now:
0,2,3,5,5,5,7
now get rid of the largest and smallest number in the new set (0 and 2)
the set becomes:
2,3,5,5,5
get rid of the largest and smallest number in the new set (2 and 5)
3,5,5
get rid of the largest and smallest number in the new set (3 and 5)
5
the median is therefore 5
the mode is the number that occurs most frequently in the data set
here's our list again of all of the numbers from least to greatest:
0,0,2,3,5,5,5,7,9
we can count how many times each number appears to find the mode
0: 2 times
2: 1 time
3: 1 time
5: 3 times
7: 1 time
9: 1 time
since 5 appeared the most times, then the mode is 5
hope this helps!
