Question

8 25/40 1. Justin asked some teachers how many cups of coffee they each drank each yesterday. The table shows some of his results. Complete the table and determine the mean number of cups of coffee drank yesterday. Weighted Total Number of Cups 0 1 2 3 4 5 Frequency 5 9 7. 4 3 2 UW 2. **The mean of the table below is 2.71. Complete the table and set up an equation to determine the missing values. 1 3 Value Frequency Total 2 7. 4 5 5 3 6

Answer 1

Problem N 2

we have that

mean=(1*6+2*7+3*x+4*5+5*3)/(6+7+x+5+3)

rEmember that

mean=2.71

substitute

2.71=(6+14+3x+20+15)/(21+x)

2.71(21+x)=55+3x

56.91+2.71x=55+3x

3x-2.71x=56.91-55

0.29x=1.91

x=6.59

the totals are

6 14 19.77 20 15

table

Value 1 2 3 4 5

Frequency 6 7 6.59 5 3

total 6 14 19.77 20 15

Problem N 1

weighted total

0*5=0

1*9=9

2*7=14

3*4=12

4*3=12

5*2=10

mean=(0+9+14+12+12+10)/(5+9+7+4+3+2)

mean=(57)/(30)

mean=1.9

table

number of cups frequency weighted total

0 5 0

1 9 9

2 7 14

3 4 12

4 3 12

5 2 10