What does the word “frequency” mean? What is the purpose of the frequency distri
ID: 3277562 • Letter: W
Question
What does the word “frequency” mean?
What is the purpose of the frequency distribution?
3) In a frequency distribution the sum of the frequencies should be equal to ---------------------------------------.
4) Percent frequency =
5) The sum of the percent frequencies always equals =
6) In a construction of a bar chart, do the bars have to be drawn in a fixed position or do they have to be in a particular order?
7) To construct a histogram, what quantity is placed on the a) horizontal axis and b) on the vertical axis?
8) How is the placement of the bars different in the histogram compared to a bar chart?
9) Bar charts are used for the ---------------- data.
10) Histograms are used for the---------------- data.
11) What is an “Ogive”?
12) How is an Ogive used?
13) If you have a raw data showing the birth weights of 50 newborns, what steps would you take to construct an ogive ?
14) What is the difference between getting a 70% on the test and scoring at the 70th percentile?
15) Go to page 49, of the e-text. Use the data in problem #11 to manually construct a histogram. (You will need to have the frequency distribution first) Follow the steps we used in class.
Show your work below:
(To access the e-Text:
Open the Blackboard shell for our class
Click eBook and MyStatLab
Click Stat 220Stat220-Introduction to Statistics-11611 (you may have to accept the terms)
Click eText (you may need to enable pop-ups)
Click eText again
Notice the arrows in the top left under Browse, either enter the page # in the white box, or use arrows to forward the pages.)
16) Use the following Frequency Distribution to Construct an Ogive. Show your work
Amount (in $)spent on
Vacation for family this summer
No. of families
100 up to 300
3
300 up to 500
6
500 up to 700
8
700 up to 900
2
900 up to 1100
1
Plot the Ogive below:
Use the Ogive to answer the following questions:
a) If a family spent $560 on vacation, how does it compare to other families?
b) If a family spends $800 on vacation what is its percentile ranking?
c) 75% of the families spent under what amount?
17) From the e-Text, page 48, do #1, 2 and 3
Amount (in $)spent on
Vacation for family this summer
No. of families
100 up to 300
3
300 up to 500
6
500 up to 700
8
700 up to 900
2
900 up to 1100
1
Explanation / Answer
1. Frequency means the number of occurrances of each data value in the given population or sample.
2. Frequency distribution is used to create the histogram which indicates the distribution of the population or sample.
3. In a frequency distribution the sum of the frequencies should be equal to the size of the population or sample.
4. Percent Frequency = frequency / sum of frequencies
5. The sum of percent frequencies always equals to 100%
6. In a construction of a bar chart, do the bars have to be drawn in a fixed position.
7. a) horizontal axis - data value and
b) on the vertical axis - count (frequency) of the data value
9) Bar charts are used for the quantitative data.
10) Histograms are used for the categorical data.
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