Binned Frequency Table

Question

The exam results for unit 1 are given below. Complete the frequency table columns for this data (using 10 point bins). .

(Round the relative frequencies to the nearest tenth of a percent.)

95, 95, 88, 91, 78, 95, 83, 85, 70, 93, 76, 80, 86, 69, 78, 85, 86, 72, 73, 92, 89, 78, 68, 79, 84, 90, 65, 87, 83, 89, 86, 75, 83, 80, 80, 90, 94, 95, 78, 78.

3.
Bin
Frequency
60-69

70-79

80-89

90-99


4.
Bin
Relative Frequency
60-69

$%$
70-79

$%$
80-89

$%$
90-99

$%$

5.
Bin
Cumulative Frequency
60-69

70-79

80-89

90-99

Answer 1

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Answer 2

Taylor,

 

The first thing I'd do is put the data in order from least to greatest; that way, finding the information for the bins will be easier.

 

I'll do the first for each and leave the rest for you.

 

(1) frequency - just the number of data items that fall within the bin's boundaries

 

bin1: 60-69 - 3 data items fall in this category so the frequency is 3

 

(2) relative frequency (%) - the number of data items in the category divided by the total number of data items

 

bin1: 60-69 - 3/40 = .075 = 7.5%

 

(3) cumulative frequency - a running total of data items in the categories

 

bin1: 60-69 - 3

bin2: 70-79 - 3 + 11 = 14

bin3: 80-89 - 14 + x (where x is the number of items in the category)

 

Good luck!

 

BTW, check my counts to make sure I got them right ;-)