A particular ATM machine dispenses $20 bills as requested by customers in amounts up to a maximum of $400. The following table shows the frequency of transactions in which customers withdrew specific amounts during a particular month. (Note that this particular machine has a $60 "quick cash" option.)

Amount Withdrawn Number of Customers

20 32

40 44

60 93

80 43

100 56

120 31

140 33

160 25

180 16

200 45

220 23

240 18

280 11

300 27

320 14

340 13

360 10

380 7

400 18

a. How many transactions were there in which customers withdrew cash at this ATM machine during the month?

b. Find the mode for the amount of cash withdrawn from this particular ATM machine during the month.

c. Find the median amount of cash withdrawn from this ATM machine during the month.

d. Find the mean amount of cash withdrawn from this ATM machine during the month.

e. Create an appropriate graph for this data set and explain what it shows.