Problem $7$: Frequency Distribution

In this problem, we will create a function named freq$\_$dist$()$ that creates a frequency distribution based on the

elements of a list. The function will accept a list of values as its input and will return two lists. One returned list will contain

the unique values found in the argument list, while the second list will contains counts of the number of times each of the

unique values occurred. For example: If mylist $=[10,10,20,10,20,30,20,20,30,40],$ then

freq$\_$dist$($mylist$)$ should return the following tuple: $([10,20,30,40],[3,4,2,1]).$

$5$

Define a function named freq$\_$dist$()$ with a single parameter x$,$ which is expected to be a list. This function should

return two lists. You can name these lists whatever you like, but for the sake of discussion, let's call them values and

counts.

$$ The list values should be a sorted list of unique values appearing in x$.$ You can $($and should$)$ use the function

you wrote in Problem $6$ to create this list.

$$ The list counts should be a list of integers. Each integer should be a count of the number of times a particular

value in values appears in x$.$

An outline of this function is provided below:

$1.$ Find the list of unique values, referred to above as values.

$2.$ Create an empty list for counts.

$3.$ Loop over values. Each time the loop executes, you should count the number of times the current element of

values appears in the list x$,$ appending the result to the counts list. I recommend using the counts$()$ list

method for this $($although you could also perform this using a second loop$).$

$4.$ Return the two lists values and counts.

We will now test the freq$\_$dist$()$ function. Create a new code cell to perform the steps below.

Create the list shown below:

grades $=[\text{'}$A$\text{'},\text{'}$D$\text{'},\text{'}$A$\text{'},\text{'}$C$\text{'},\text{'}$B$\text{'},\text{'}$F$\text{'},\text{'}$A$\text{'},\text{'}$D$\text{'},\text{'}$C$\text{'},$

$\text{'}$B$\text{'},\text{'}$F$\text{'},\text{'}$A$\text{'},\text{'}$C$\text{'},\text{'}$B$\text{'},\text{'}$A$\text{'},\text{'}$B$\text{'},\text{'}$B$\text{'},\text{'}$C$\text{'},$

$\text{'}$B$\text{'},\text{'}$F$\text{'},\text{'}$D$\text{'},\text{'}$D$\text{'},\text{'}$A$\text{'},\text{'}$C$\text{'},\text{'}$B$\text{'},\text{'}$B$\text{'},\text{'}$D$\text{'}]$

Call the freq$\_$dist$()$ function on this list. Display the resulting lists with messages formatted as shown below. Match

the formatting exactly. The lists displayed should be left$-$aligned.

Unique Values: xxxx

Frequencies: xxxx