Using the IQ test.How are the scores distributed? **Transcription of Data and Explanation of Graphs**### Data TableThe table provides scores for Verbal IQ and Reading Comprehension for 20 subjects. The summary statistics for these scores are as follows:- **Verbal IQ** - **Mean (average):** 98 - **Median:** 98 - **Mode:** 97 - **Range:** 43 - **Standard Deviation:** 11.8- **Reading Comprehension** - **Mean (average):** 97 - **Median:** 96 - **Mode:** 100 - **Range:** 46 - **Standard Deviation:** 11.2- **Correlation between Verbal IQ and Reading Comprehension:** 0.79### Graphs and Diagrams1. **Scatter Plot: Reading Scores vs. Verbal IQ Scores** - **Axes:** The x-axis represents the Verbal IQ scores, and the y-axis represents the Reading Scores. - **Data Points:** Plotted points show individual subjects' scores. - **Trend Line:** A downward-sloping line suggests a moderate positive correlation between Verbal IQ and Reading Scores.2. **Histogram: Verbal IQ Frequency Distribution** - **Axes:** The x-axis represents Standard Scores (STD SCORE) and the y-axis represents frequency. - **Bars:** Show the distribution of Verbal IQ scores across different standard score ranges.3. **Histogram: Reading Comprehension Frequency Distribution** - **Axes:** The x-axis represents Standard Scores (STD SCORE) and the y-axis represents frequency. - **Bars:** Show the distribution of Reading Comprehension scores across different standard score ranges.These visualizations offer insight into the relationship between Verbal IQ and Reading Comprehension scores, presenting how these scores are distributed among the subjects. The high correlation coefficient indicates a strong relationship between the two sets of scores.

Introduction: It is required to identify the manner in which the IQ test scores are distributed.Explanation: The IQ scores are given under the column "Verbal IQ". First, let us consider the graph titled "Verbal IQ Frequency Distribution". The horizontal axis represents "STD SCORE" or the standard scores, and the vertical axis represents the frequencies, with the height of each bar representing the frequency of each class. Observe that the first bar is marked above the value 80 on the horizontal axis, and it has a very low height, indicating a very low frequency. The height of the next bar, corresponding to 90, it higher, while the height of the bar corresponding to 100 is the highest among all the bars. Thereafter, the heights of the bars keep decreasing gradually till the maximum standard score labelled as "More". The bar around the middle, the one above the label of 100, has the maximum frequency, while the bars to its left and those in the corresponding position to its right, are roughly equal in heights. The distribution appears to be symmetric about the central position, with lower frequencies for the more extreme values. Now, let us consider the "MEAN", "MEDIAN", and "MODE" values under the "Verbal IQ" column. Observe that the mean is 97, the median is 98, and the mode is also 98. For a symmetric distribution, mean = median = mode. Here, median = mode = 98, and although the mean is not exactly equal to these two, it is 97, which is only very slightly different from the median and the mode, and is actually very close to those values. Therefore, for all practical purposes, the distribution is approximately symmetric. Hence, the IQ test scores are distributed is a roughly symmetric manner.