$ $4349141814356230139113890509$

$78657365849525166975310307119$

$280946485460659625414563365194$

$802545808619221908799768890142$

a$.$ Tally the data into a frequency distribution using $$100$ as a class interval and $$0$ as the starting point.

Balance Frequency Cumulative Frequency

$0$ to under $100$

$5$

$5$

$100$ to under $200$

$7$

$12$

$200$ to under $300$

$5$

$17$

$300$ to under $400$

$6$

$23$

$400$ to under $500$

$6$

$29$

$500$ to under $600$

$5$

$34$

$600$ to under $700$

$5$

$39$

$700$ to under $800$

$1$

$40$

$800$ to under $900$

$3$

$43$

$900$ to under $1000$

$2$

$45$

Total

$45$

b$.$ Not available in Connect.

c$.$ The bank considers any student with an ending balance of $$400$ or more a "preferred customer." Estimate the percentage of preferred customers. $($Round up the answer to the nearest whole percentage.$)$

Percentage

$55$

$\%$

d$.$ The bank is also considering a service charge to the lowest $10\%$ of the ending balances. What would you recommend as the cutoff point between those who have to pay a service charge and those who do not?

Less than $$50$