Consider the following histogram. Determine the shape of the histogram. Skew lef

Question

Consider the following histogram. Determine the shape of the histogram. Skew left Symmetric skew right Is the mean or the median larger for this data set? Median Mean Use the histogram to graphically estimate the mean? 300 500 700 1100 Last semester, the median score on the Unit 1 statistics test was a 78%. Which statement correctly describes what this means? The average score on the test was 78%. The most frequent score on the test was 78%. Half of the students scored a 78% on the test. Half of the students scored higher than 78% on the test. What can you say about the histogram of test scores if the average score was a 70%? It is skew left. It is symmetric. It is skew right. Construct a box-plot for the following data set. Does the box-plot suggest a certain distribution shape? 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 14

Explanation / Answer

14) The shape of histogram is right skewed

15) Mean is larger because hitogram is on right side.

16 ) Mean = (-100 *20 +500 * 170 + 1100 * 70 + 1700 *10 +2300 * 5 + 2900 * 5) / 280

= 725

= approx 700

19) 2 , 2 ,3 , 3 , 3 , 4 , 4 , 5 , 5 , 6 , 7, 7 , 8 , 9 ,10 , 10 , 14

  The first number I need is the median of the entire set. Since there are seventeen values in this list, I need the ninth value:

  The median is Q2 = 5

The next two numbers I need are the medians of the two halves. Since I used the "5 " in the middle of the list, I can't re-use it, so my two remaining data sets are:

2 , 2 ,3 , 3 , 3 , 4 , 4 , 5 , and , 6 , 7, 7 , 8 , 9 ,10 , 10 , 14

The first half has eight values, so the median is the average of the middle two:

Q1 = (3 + 3)/2 = 3

The median of the second half is:

Q3 = (8 + 9)/2 = 8.5

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