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Refer to the histogram in Section 1.3 Exercise 10 from the text. Find the mode of the data that is given in this histogram.

A) The value with the highest frequency
B) The average value of the data
C) The median of the data
D) The range of the data

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Final answer:

The mode in a histogram corresponds to the value with the highest frequency, option A. In symmetrical distributions, mean, median, and mode coincide; in skewed distributions, they differ.

Step-by-step explanation:

When looking at a histogram and finding the mode of the given data, you should look for the value with the highest frequency. The mode is denoted as the value or values that occur most frequently in the dataset. Given the options presented, the correct answer to find the mode in a histogram is A) The value with the highest frequency.

In a symmetrical distribution, the mean, median, and mode all coincide at the same point, while in a skewed distribution, these measures of center can differ substantially. For example, in a left-skewed distribution, the mode will be higher than both the median and the mean since it is less affected by extremely low values.

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