9.The following sample data are the number of points scored in the 25 NBA games played fromNovember 5-7, 2014.185180217189193181190186193202240225179195241215233199209193187180226187211a. Construct a frequency distribution with 5 classes for this data.b. Draw a histogram and identify the distribution for this data.C. Calculate the sample mean and standard deviation of this sample of points scored per game.d. Given the above distribution would it be unusua! to find an NBA game with 150 points scored?e. Find the maximum and minimum usual values and identify any outlierst'.

Answered: The following sample data are the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

9.
The following sample data are the number of points scored in the 25 NBA games played from
November 5-7, 2014.
185
180
217
189
193
181
190
186
193
202
240
225
179
195
241
215
233
199
209
193
187
180
226
187
211
a. Construct a frequency distribution with 5 classes for this data.
b. Draw a histogram and identify the distribution for this data.
C. Calculate the sample mean and standard deviation of this sample of points scored per game.
d. Given the above distribution would it be unusua! to find an NBA game with 150 points scored?
e. Find the maximum and minimum usual values and identify any outliers
t'.

Expert Solution

Step 1

Given data represents the number of points scored in the 25 NBA games:

(a) To construct frequency distribution with 5 classes for this data:

$\begin{array}{rcl} C l a s s w i d t h & = & \frac{m a x - m i n}{N o . o f c l a s s e s} \\ = & \frac{241 - 179}{5} \\ = & 12.4 \\ \approx & 13 \end{array}$

Start the class interval with minimum value 179 then add class width 13 to each of the lower limits.

Frequency is the number of times an observation occurs in a given class interval.

Frequency distribution table, is given below:

Class Interval	Frequency
179 - 192	10
192 - 205	6
205 - 218	4
218 - 231	2
231 - 244	3
Total	25

Step 2

(b) Histogram can be obtained using Excel, steps to follow are given below:

Enter the data in Excel sheet
Select the data, go to Insert
Under different chart groups, choose Histogram
Add chart title and axis titles

Excel output is given below:

The distribution of points per game for these 25 NBA teams is skewed to the right. The spread is from 179 to 241 with no apparent outliers.

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