Math 3 Name ______

Lesson 1-1: A Review of Data Analysis

Learning Goals:

·  I can summarize, represent, and interpret data on a single variable

1a. Below is the data that represents the number of doubles for each American League Baseball team for the 2013 season. Create a histogram for the data.

TEAM / Doubles
Boston / 363
Oakland / 301
Baltimore / 298
Tampa Bay / 296
Detroit / 292
Cleveland / 290
Minnesota / 285
Toronto / 273
LA Angels / 270
Houston / 266
Texas / 262
Kansas City / 254
Seattle / 249
NY Yankees / 247
Chicago Sox / 237
Intervals / Frequency
230-239
240-249
250-259
260-269
270-279
280-289
290-299
300-309
310-319
320-329
330-339
340-349
350-359
360-369

1b. Looking at the histogram, approximate the mean and median of the data.

1c. Use your calculator to calculate the following:

Mean = Min = Q1 = Median =

Q3= Max = IQR = Standard Deviation =

1d. Looking at the histogram, do any of the data points look like an outlier?

1e. Use formula Q3 + 1.5(IQR) to determine whether the data point is an outlier.

2. If a data set is normally distributed and has a mean of 12.5 and a standard deviation of 4.2, what can you tell me about the data?

The following box plot shows the number of doubles hit by the National League during the 2013 season.

Use the box plot to answer the following questions:

3a. Approximately what percent of the teams hit at least 283 doubles? Explain how you know.

3b. Which value is greater, the mean or the median?

4. Statistician Bob was examining his data and found the following:

Min = 12 Med = 24 Max = 63 Mean = 27 IQR = 12 Standard Deviation = 8.675

Bob realized that a data point of value 63 was a mistake. After removing the data point 63, explain what will happen to each of the following?

Minimum =

Median =

Maximum =

Mean =

IQR =

Standard Deviation =