Answer:
Step-by-step explanation:
1. Find the minimun and maximun value of the data.
Minimun: 2
Maximun: 6
2. Calculate the range (R).
Range=
6 - 2=
4
3. Calculate the average.
Average= (Sum of all values) / N
Average= (2+3+3+3+4+4+4+4+5+5+5+6) / 12
Average= (48) / 12
Average= 4.
4. Calculate the M and round the value <u>down</u>.
6. Calculate A.
7. Craft your table.
<u>(Check attatched image 1).</u>
LL: Lower limit.
UL: Upper limit.
8. Calculate the limits and fill out the table.
LL / UL
2.00 2.00+A=3.33
3.33 3.3333 +A=4.66
4.66 5.99
5.99 7.32
7.32 8.65
Filled out table: <u>check attatched image 2.</u>
9. Check the data, count how many values fall into each interval and annotate on "frequency".
For example: There are 4 values between 2 and 3.33, these values are 2,3,3, and 3. Therefore, we write 4 on the frequency (absolute) cell for this row of the table. And we do the same for all the other classes.
<u>Check attatched image 3.</u>
10. Calculate the frequency (relative) for all classes.
For example: the first class (row 1 of the table) contains 4 values. Therefore, it's relative frequency would be:
33.33%
Note: We divide by 12 b<u>ecause N=12</u>.
Do the same for all the other rows and finish filling out the table.
<u>Check attatched image 4.</u>
<u>-------------------------------------------------------------------------------------------------------</u>
<u>Extra.</u> To make an histogram, take the interval and the absolute frequency and graph it in the fashion shown in attatched image 5.
