1. Making a frequency distribution and histogram

2. The Data Make sure the data is quantitative Sort the data from smallest to largest Count how many

3. The Data 161182191194202205213215231232 233257264266267269270283284298 304307309318320 324328331355 375379381392403414425446467478 The data is sorted, quantitative, and there are 40 elements

4. Find the range and class width Range is found by subtracting the smallest from the largest Class width is found by dividing the range by the number of class. Always round the class width up to the same number of decimal places as the original data.

5. Range and class width Range = 478-161 = 317 For 6 class the class width would by –317÷6 = 52.833 round up to 53

6. Make the distribution Start with the smallest value as the lower class limit of the first class. The class width will be added to a lower class limit to find the next lower class limit Lower class limits 161 214 267 320 373 426

7. Make the distribution Upper class limits 213 266 319 372 425 478 Look at the second classes lower limit and find the largest value that the data could be and not be in the second class. (usually one less than the second classes lower limit ) The class width will be added to a upper class limit to find the next lower class limit (look at how these compare to the lower class limit of the next class)

8. Tallies and frequency If the data is not in order you will want to do a tally to keep count for each class Frequency is the number of time an element is in each class

9. Tallies and frequency Lower class limits Upper class limitsTallyFrequency 161213IIIIIII7 214266IIIIIII7 267319IIIIIIIIII10 320372IIIIII6 373425IIIIIII7 426478III3

10. Cumulative frequency, relative frequency, and class marks Cumulative frequency is the running total. – It is found by adding a classes frequency to the Cumulative frequency of the class before Relative frequency is a ratio of the classes frequency to the number of elements in the sample. Class marks are the middle value of each class. –It is found by adding the upper and lower class limit together and then dividing by two.

11. Complete Frequency Distribution Lower class limits Upper class limitsTallyFrequency Cumulative frequency Relative frequency Class marks 161213IIIIIII770.1750187 214266IIIIIII7140.1750240 267319IIIIIIIIII10240.2500293 320372IIIIII6300.1500346 373425IIIIIII7370.1750399 426478III3400.0750452

12. Class Bounds These are the points between each class –To find the class bound add the upper class limit of one class to the lower class limit of the next class and divide by 2 You will also have to find the lower and upper bound –Look at the pattern and find the one below the first and also one above the last class

13. 160.5213.5266.5319.5372.5425.5478.5 These are found by averaging the upper and lower class limits Found by adding or subtracting 53 (the class width) from the end and beginning

14. 160.5213.5266.5319.5372.5425.5478.5 10 9 8 7 6 5 4 3 2 1

15. Make a frequency distribution and histogram for the following use 7 classes 12131518202123 2527 2933343536 3839 40 424344 45474950 5153 5455 575960 61636465 66676869