Chapter 1.2, Problem 3.2CYU

To determine

To construct: The histogram for the provided data set and check whether the distribution is bell shaped or not.

Answer to Problem 3.2CYU

Yes, it is bell shaped.

Given:

The data set is:

145	130
101	109
123	131
106	102
117	101
102	112
139	96
142	134
94	117
124	127
90	122
108	114
126	110
134	113
100	110
115	117
103	105
110	102
122	118
124	81
136	127
133	109
114	87
128	82
125	118
112	113
109	124
116	137
139	89
114	101

Graph:

Histogram for the provided distribution of IQ score could be constructed as:

Interpretation:

The above constructed histogram is a bell shaped. Thus, it implies that the distribution is approximately normal.

Explanation of Solution

Given:

The data set is:

145	130
101	109
123	131
106	102
117	101
102	112
139	96
142	134
94	117
124	127
90	122
108	114
126	110
134	113
100	110
115	117
103	105
110	102
122	118
124	81
136	127
133	109
114	87
128	82
125	118
112	113
109	124
116	137
139	89
114	101

Graph:

Histogram for the provided distribution of IQ score could be constructed as:

Interpretation:

The above constructed histogram is a bell shaped. Thus, it implies that the distribution is approximately normal.