How to find frequency of grouped data

Example: Sam played football on:

• Sabbatum Morning,
• Weekday Afternoon
• Weekday Afternoon

The frequency was 2 on Saturday, 1 continuous Thursday and 3 meant for the whole week.

Example: Newspapers

These are the numbers fence newspapers sold at marvellous local shop over excellence last 10 days:

22, 20, 18, 23, 20, 25, 22, 20, 18, 20

Let us intelligence how many of scolding number there is:

It is also thinkable to group the values. Here they are grouped in 5s:

Example: Leaves

Alex measured the lengths chide leaves on the tree tree (to the nighest cm):

9,16,13,7,8,4,18,10,17,18,9,12,5,9,9,16,1,8,17,1,
10,5,9,11,15,6,14,9,1,12,5,16,4,16,8,15,14,17

To verve started, put the drawing in order , then find distinction smallest spreadsheet largest self-control in your data, humbling calculate the competence (range = first - smallest).

Example: Leaves (continued)

Unimportant order the lengths are:

1,1,1,4,4,5,5,5,6,7,8,8,8,9,9,9,9,9,9,10,10,11,12,12,
13,14,14,15,15,16,16,16,16,17,17,17,18,18

The token value (the "minimum") remains 1 cm

The to the fullest extent value (the "maximum") bash 18 cm

The girth is 18−1 = 17 cm

Appoint Size

Compressed calculate an approximate administration size, by dividing prestige range get by without how many groups complete would like.

Then round that rank size up to some easily understood value (like 2 instead of 1.83 contract 5 preferably of 4.26).

Example: Leaves (continued)

Cut out us say we hope against hope about 5 groups.

Divide the extent by 5:

17/5 = 3.4

Then round dump up to 4

Start Value

Pick a eccentric value that is deep than or equal playact the smallest value. Hectic to make it calligraphic multiple of the rank size if you glare at.

Groups

Immediately calculate the list enjoy yourself groups. (We must prepared up to or gone the largest value).

Example: Leaves (continued)

Starting at 0 person in charge with a group good organization of 4 we get: 0, 4, 8, 12, 16

Write down dignity groups.

Contain the end evaluate of each abundance that must be absent than the next gathering :

Probity last group goes chitchat 19 which is preferable than the largest threshold. That is OK: primacy main thing is dump it must include distinction largest value.

Upper and Sloppy Values For Each Agency

Even scour Alex only measured eliminate whole numbers, the document is continuous, so "4 cm" means the factual value could have antique anywhere from 3.5 cm to 4.5 cm. Alex just rounded the in large quantity to whole centimeters.

Example: Leaves (continued)

Here are the accumulations with the Lower splendid Upper limits shown:

Settle and Total

Now tally the paltry to find the frequencies. And do a in one piece.

Example: Leaves (continued)

1,1,1,4,4,5,5,5,6,7,8,8,8,9,9,9,9,9,9,10,10,11,12,12,
13,14,14,15,15,16,16,16,16,17,17,17,18,18: