Question

2.5 Self-quiz Problem (Discrete Data). The number of shot blocks of a certain basketball player had in 24 randomly selected games is given as follows; {1,2,2,2,2,1,3,4,2,1,3,1 5,2,1,3,0,1,4,4,3,3,5,2} (1) Construct a table that gives the frequency distribution of this data. (2) Construct a table that gives the relative frequency distribution of this data. (3) Construct a frequency histogram of this data. (4) Construct a relative frequency histogram of this data. (5) Construct a stem and leaf plot for this data set. (6) Find the sample mean for this data set. (7) Find the median of this data set. (8) Find the sample standard deviation of this data set. (9) Describe in complete sentences the distribution of this data set using vocabulary presented in the textbook.

Answer 1

A frequency distribution shows the number of elements in a data set that belong to each class. In a relative frequency distribution, the value assigned to each class is the proportion of the total data set that belongs in the class.

This is a formula for calculating the relative frequency of a class:

class frequency n

where Class frequency refers to the number of observations in each class; n represents the total number of observations in the entire data set.

1) Table that gives the frequency distribution of the data:

Number of shot blocks	Number of games
0	1
1	6
2	7
3	5
4	3
5	2
total	24

2) The relative frequency may be expressed as a proportion (fraction) of the total or as a percentage of the total.

Number of shot blocks	Number of games	Relative frequency
0	1	1/24
1	6	6/24
2	7	7/24
3	5	5/24
4	3	3/24
5	2	2/24
Total	24	1

3) A frequency histogram is a graph with vertical columns that represent the frequency of a data point or range of data points occurring in a set of data.

aunes Number 7 2 2 345 Number Shot Freuny Hicynae

4) A relative frequency histogram uses the same information as a frequency histogram but compares each class interval to the total number of items.

Nulaer of 0.30 ZeO-291 24 O-275 0.25 O-25 24 0.225 0.2083 24 :201 O.175 O15 30.125 24 Q.125 10 22 0-0833- O.075+ 24 O-05 0.041 24 0-025 1 3 Number 6 2 shots Pelative frequeney Ha