For the following Grouped Frequency Data Table (GFDT) answer the quest

Coroware

Coroware

Answered question

2021-11-26

For the following Grouped Frequency Data Table (GFDT) answer the questions below.
Lower Class limitUpper Class LimitFrequency303410353994044445491050547555986064865696707414
(a) What is the 88-th percentile for the following Grouped Frequency Data Table?
(b) What is the 9-th decile for the following Grouped Frequency Data Table?
(c) What is the median for the following Grouped Frequency Data Table?

Answer & Explanation

Harr1957

Harr1957

Beginner2021-11-27Added 18 answers

Step 1
Class intervalFrequencyCumulative Frequency303410103539919404442345491033505474055598486064856656966270741476Total76
Part a
P53=l+88N100mf×c
=70+88×761006214×4
=70+66.886214×4
=70+4.8814×4
=70+0.34857×4
=70+1.39428
=71.39
Therefore the 88th percentage is 71.39.
Part b
D9=l+9N10mf×c
=70+9×76106214×4
=70+68.46214×4
=70+6.414×4
=70+0.457×4
=70+1.82857
=71.8285
Therefore the 9th decile is 71.8285.
Part c
The formula for median is Median=l+n2cff×c
Median=49.5+762337×4
=49.5+38337×4
=49.5+2.857
=52.357
Therefore the median is 52.357.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?