x-bar is the sum of all the entries divided by n, so we need to multiply the x values by the corresponding f(x) values, then add those values up, then divide by 40.
median is the average of the entries in the 20th and 21st positions
20 in positions 1-5 19 in positions 6-11 18 in positions 12-18 17 in positions 19-24 ... This means 17 is the value in both positions 20 and 21, so 17 is the median value.
n is the sum of the frequencies.
ReplyDeleten5+6+7+6+4+4+3+2+1+2 = 40
x-bar is the sum of all the entries divided by n, so we need to multiply the x values by the corresponding f(x) values, then add those values up, then divide by 40.
20*5=100
19*6=114
18*7=126
17*6=102
16*4= 64
15*4= 60
14*3= 42
13*2= 26
12*1= 12
11*2= 22
sum=668
avg=16.7
mode=18, the most frequent value
median is the average of the entries in the 20th and 21st positions
20 in positions 1-5
19 in positions 6-11
18 in positions 12-18
17 in positions 19-24
...
This means 17 is the value in both positions 20 and 21, so 17 is the median value.