Question

In: Statistics and Probability

Data Set for Project 1 Maximum Temperatures by State in the United States for the month...

Data Set for Project 1
Maximum Temperatures by State
in the United States
for the month of August, 2013
State Name Max Temps in August 2013
AL 97
AK 97
AZ 45
AR 100
CA 49
CO 109
CT 93
DE 91
FL 102
GA 99
HI 90
ID 97
IL 97
IN 93
IA 100
KS 111
KY 93
LA 97
ME 93
MD 97
MA 97
MI 91
MN 109
MS 97
MO 97
MT 90
NE 108
NV 111
NH 93
NJ 108
NM 106
NY 93
NC 100
ND 88
OH 91
OK 108
OR 97
PA 93
RI 104
SC 97
SD 93
TN 99
TX 104
UT 106
VT 91
VA 102
WA 93
WV 91
WI 90
WY 99
  1. Open a blank Excel file and create a grouped frequency distribution of the maximum daily temperatures for the 50 states for a 30 day period. Use 8 classes.
  2. Add midpoint, relative frequency, and cumulative frequency columns to your frequency distribution.
  3. Create a frequency histogram using Excel. You will probably need to load the Data Analysis add-in within Excel. If you do not know how to create a histogram in Excel, view the video located at: http://www.youtube.com/watch?v=_gQUcRwDiik. A simple bar graph will also work.

If you cannot get the histogram or bar graph features to work, you may draw a histogram by hand and then scan or take a photo (your phone can probably do this) of your drawing and email it to your instructor.

  1. Create an ogive in Excel (or by hand).
  2. A. Do any of the temperatures appear to be unrealistic or in error? If yes, which ones and why?

B. Explain how this affects your confidence in the validity of this data set.

Project 1 is due by 11:59 p.m. (ET) on Monday of Module/Week 1.

please help!!!!!!!!

Solutions

Expert Solution

The frequency distribution and the Ogive curve for the data values are obtained in excel by following these steps,

Step 1: Write the data values in excel. The screenshot is shown below,

Step 2: The minimum and maximum value are obtained in excel. The screenshot is shown below,

Hence the classes for the data values are,

Classes
44-52.5
52.5-61
61-69.5
69.5-78
78-86.5
86.5-95
95-103.5
103.5-112

Step 3: Make a column bin with the upper-class limit of the classes then

DATA > Data Analysis > Histogram > OK. The screenshot is shown below,

Step 4: Insert Input Range: Data column, Bin Range: bin column then OK. The screenshot is shown below,

The frequency histogram is obtained. The screenshot is shown below,

Classes Frequency
44-52.5 2
52.5-61 0
61-69.5 0
69.5-78 0
78-86.5 0
86.5-95 18
95-103.5 19
103.5-112 11

Step 5: Calculate the cummulative frequencies by adding the frequency.

Bin Frequency Cummulative freq
52.5 2 2
61 0 2
69.5 0 2
78 0 2
86.5 0 2
95 18 20
103.5 19 39
112 11 50

Step 6: Select the Bin and cumulative frequency column then goto INSERT > Recommended Charts > Scatter with Straight Lines and Markers. The screenshot is shown below,

A) There are two data points (45 and 49) which appear to be unrealistic as these data points lie far below from the rest of the data points.

B) Since these two outlier data points cause the skewness in the distribution, the validity of this data set affected.


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