Question

"During their first swim through a water maze, 15 laboratory rats made the following number of errors (went the wrong way): 2, 17, 5, 3, 28, 7, 5, 8, 5, 6, 2, 12, 10, 4, 3Find the mean, median and mode(s)
Without constructing a frequency distribution or graph, would you characterize the shape of this distribution as balanced, positively skewed, or negatively skewed? Explain your reasoning.

Answer 1

Answer:

mean = 7.8, median =5, and mode(s) =5

the shape of the distribution is positive skewed

Step-by-step explanation:

Find the mean, median and mode(s) for

2, 17, 5, 3, 28, 7, 5, 8, 5, 6, 2, 12, 10, 4, 3

the mean = sum of (2, 17, 5, 3, 28, 7, 5, 8, 5, 6, 2, 12, 10, 4, 3)/15 =

              =  7.8          

the median = 2, 2, 3, 3, 4, 5, 5, 5,  6, 7,  8, 10, 12, 17, 28, = the middle value, the 8th value falls in the middle = 5

the mode is the most occurring value = 5

2. Without constructing a frequency distribution or graph, would you characterize the shape of this distribution as balanced, positively skewed, or negatively skewed?

positive skewed or Right skewed because the value of the mean is greater than the median

A right skewed histogram is a positive skewed histogram (which means the tail is longer the positive direction) that have its tail to the right.For a right skewed histogram the mean has a larger value that the median because the peak of the skewness fall in the median range then the mean follow to the right. and the data drive the mean value to the right which increase in value.

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