Question

The accompanying data on IQ for first-graders at auniversity lab school was introduced in Example 1.2.82 96 99 102 103 103 106 107 108 108 108108 109 110 110 111 113 113 113 113 115 115118 118 119 121 122 122 127 132 136 140 146a.Calculate a point estimate of the mean value ofIQ for the conceptual population of all firstgraders in this school, and state which estima-tor you used. [Hint:Sxi¼3753]

Answer 1

Mean = 113.72

The estimator of 113.72 is point estimate used for the conceptual population of all first-graders in this school

Explanation:

Data provided in the question:

Data:

82 96 99 102 103 103 106 107 108 108 108 108 109 110 110 111 113 113 113 113 115 115 118 118 119 121 122 122 127 132 136 140 146

Number of data = 33

In the hint it is also given that the sum of the data value i.e ∑x = 3753

Now,

Point estimate of mean is given as;

Mean =
`\frac{\textup{Sum of all the data values}}{\textup{Total number of data value}}`

or

⇒ Mean =
`\frac{\textup{3753}}{\textup{33}}`

or

⇒ Mean = 113.72

Hence,

The estimator of 113.72 is point estimate used for the conceptual population of all first-graders in this school