Question

Test 1 A/B-Part 2 Show ALL. work in a neat and organized manner on separate paper. DO NOT write the answers on the test - there is not enough space. Follow directions!! ALL graphs and tables MUST either be hand-drawn or created in StatCrunch. ALL hand drawn graphs must be on Graph Paper. Label ALL graphs and tables correctly. Include your last name as part of the title on all graphs & tables. Follow specific directions for each problem. Problems 11-23 are worth 5 points each. Problem 24 is worth 14 points (1 point each). Problem 25 is worth 8 points (2 points each). Use the following set of data form Problems 11-14. Ages of Statistics Students 1의-18 -1의 18|511-191-201-201 231-19 261., 201 17| 18.1-201-191. 191 201 201 47 ー191-17|28|2의 261 191 171 271-531-20 19 18 34 44 45 19 20 1626 20 11) Create a Frequency Distribution. You can create this by hand or create a table in Word to include with your solutions. Use 8 classes with a lower class limit of 15. 12) Construct a Histogram BY HAND (Use graph paper) using the Frequency Distribution from #11. Label the graph correctly 13) Create a Histogram in StatCrunch. Start the bins at 15 with a width of 8. 14) Describe this distribution (SOCS). Does the shape of the distribution look different with the 2 graphs? Explain your answer. MTH 245 -T1A/B - Part2

Answer 1

Here we have given data set of 40 observations.

We have to construct frequency distribution of the data.

Make 8 classes having first lower limit will be 15.

Lets find width of the interval.

Kange no.ofclasses

Range = Maximum - Minimum = Width = 37

WIdth = 37 / 8 = 4.625 which is approximately equal to 5.

SO the first class will be 15-20, second will be 20-25, third will be 25-30,............ and so on.

Now we have to find frequency for each class.

Frequency is number of observations fall in particular class.

There are 18 observations in the first class, 10 observations in the second class,............... and so on.

In this way we find all the frequencies and completing the frequency distribution.

class 15-20 20-25 25-30 30-35 35-40 40-45 45-50 50-55 iial frequency 18 10 1 C) 1 2 2 섹)

Now we have to construct histogram of the given frequency distribution.

Histogram 20 18 16 14 12 10 frequency 4 15-20 20-25 25-30 30-35 35-40 40-45 45-50 50-55

Histogram in Statcrunch :

steps :

1. Enter the raw data into the spreadsheet. Name the column variable.

2. Select Graphics and highlight Histogram.

3. Click on the variable you wish to summarize and click Next>.

4. Choose the type of histogram (frequency or relative frequency). You have the option of choosing a lower class limit for the first class by entering a value in the cell marked “Start bins at:”. You have the option of choosing a class width by entering a value in the cell marked “Binwidth:”. Click Next>.

5. You could select a probability function to overlay on the graph (such as Normal – see Chapter 7). Click Next>.

6. Enter labels for the x- and y-axes, and enter a title for the graph. Click Create Graph

The shape will be same for both the graphs because data is same.

Histogram shows positively skewed shape.