The statistics below provide a summary of IQ scores of 100 children.
Mean:100
Median:102
Standard Deviation:10
First Quartile:84
Third Quartile:110
About 50 of the children in this sample have IQ scores that are

Options

A. less than 84
B. less than 110
C. between 84 and 110
D. between 64 and 130

Explanation

To solve the problem, we need to determine the range of IQ scores for about 50 of the children in the sample based on the provided statistics.

### Step-by-Step Solution:

1. **Understand the Quartiles**:
- The first quartile (Q1) is given as 84. This means that 25% of the children have IQ scores below 84.
- The third quartile (Q3) is given as 110. This means that 75% of the children have IQ scores below 110.

2. **Identify the Range of the Middle 50%**:
- The middle 50% of the data is represented by the interquartile range, which is the range between Q1 and Q3.
- Since Q1 is 84 and Q3 is 110, the range of IQ scores for the middle 50% of the children will be from Q1 to Q3.

3. **Calculate the Range**:
- The range of IQ scores for the middle 50% of children is from 84 to 110.
- Therefore, about 50 of the children in this sample have IQ scores that fall between 84 and 110.

### Final Answer:
About 50 of the children in this sample have IQ scores that are between **84 and 110**.

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