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Is house 1 symmetrical, left skewed, or right skewed?

a) Symmetrical
b) Left skewed
c) Right skewed
d) Not determined

1 Answer

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Final answer:

The data set from exercise 49 is right skewed, where the mean is less than the median. Skewness affects the choice of the measure of center, with the median being more appropriate for skewed data. The term 'bimodal' refers to a distribution with two modes.

Step-by-step explanation:

The question you have asked about whether 'house 1' is symmetrical, left skewed, or right skewed cannot be answered as presented because there is no data provided for 'house 1'. However, if you are referring to exercise 49 with the data set of 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, this distribution is right skewed. Skewness is determined by the shape of the distribution of the data set. In this case, a right or positive skew is indicated by a longer tail on the right side of the distribution, and the larger numbers stretching out to the right.

When data is skewed to the left, the mean is typically less than the median. Conversely, for right-skewed data, the mean is generally greater than the median. When the data are symmetrical, the mean and median are approximately equal. A distribution that has two modes is known as bimodal. Based on the skewness of the data set in question 49, the median would be a more appropriate measure of center than the mean, because the median is not affected by the extreme values in the data set which can distort the mean.

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