Question

1. Construct a Pie Chart:

You obtained the following data related to demographics in your statistics class:

Race                                                      Number of Students

Hispanic                                               15

Asian                                                     10

African American                             12

Caucasian                                            19

Native American                               5

What can you infer from your data?

2. Construct a Bar Graph:

You obtained the following data related to demographics in your statistics class:

Religion                                                               Number of Students

Christian                                                              17

Muslim                                                                 18

Buddhist                                                              19

Catholics                                                              20

Not Religious                                                      24

What can you infer from your data?

3. Construct a Line Graph:

A professor constructed a new personality test and wants to test its construct validity. She administers the test to her students and assesses the construct validity.

Person                                                                  Construct validity

1                                                                              34

2                                                                              25

3                                                                              15

4                                                                              16

5                                                                              19

6                                                                              25

7                                                                              22

8                                                                              30

9                                                                              14

10                                                                           10

11                                                                           8

12                                                                           20

What can you infer from your data?

4. Construct a Histogram:

In a study of modeling, one group of 20 children saw an adult acting aggressively on videotape. Later each child was placed in a room where he or she was given the opportunity to behave aggressively toward a Bobo doll (a humanlike dummy). The researchers recorded the number of aggressive acts towards the Bobo doll by each child in a 15-minute period. Here are the results:

Number of Aggressive Acts:

25

23

23

23

22

22

21

21

21

21

21

19

19

19

19

18

18

17

17

10

What can you infer from the data?

Answer 1

a)

Native Americans form the least proportion of students, while there is maximum proportion of Caucasian students, followed by Hispanic, African American and Asian respectively.

b)

Highest proportion of students are not religious, followed by Catholics, Buddhist and Muslim, and the least proportion of students are Christian.

c)

Student 1 has the highest ability and student 11 has the lowest ability.

The average of values is 238/12=19.8333. So there are 6 students each who are above average and below average.

d)

The x-axis values are [10,11], (11.,12], (12,13], ... (23,24], (24,25]

Maximum frequency is of 21, i.e. 21 acts have occurred most number of times, while 11 and 25 acts have occurred least number of times. 11 seems to be an outlier, since there is no value from 12 to 16. Most values are concentrated in the region 17 to 23.

From the histogram,