Anonymous

# AP Stats Help Plz?

The data below shows the number of raisins in each of 14 boxes (1/2 oz.) of three

different brands of raisins: (8 points)

Sun Tyrant: 25, 28, 25, 28, 29, 24, 28, 24, 24, 28, 30, 24, 22, 27

Sun Acrid: 29, 31, 29, 26, 28, 22, 25, 29, 29, 27, 28, 23, 26, 29

Laminatekist: 25, 26, 26, 26, 26, 28, 27, 26, 25, 28, 24, 28, 27, 25

A. Compute the median, lower and upper quartiles, and interquartile range for

each data set.

NOTE: We are using the following definitions in this Assignment and course:

when there's an odd number of observations in a group, the median is the

middle number. When there's an even number of observations in a group, the

median is (n+1)/2. The Interquartile Range, IQR, is Q3 – Q1, where Q3 is the

median number of the top 50% and Q1 is the median of the bottom 50% of

scores. (We are not using fences.)

B. Construct three different modified box-and-whisker plots and place them on

the same horizontal axis, labeling the axes, and labeling Q1, Q3, the median

and the mean on the boxes.

C. What conclusions can you make about the shape of the distributions by looking

at the three box plots? Are the distributions symmetric or skewed in one

D. For which brand are you more likely to end up with a box with a fewer raisins?