Question

Select the correct answer from each drop-down menu.
Interpret the histogram of Gretchen’s data you created in part A.
The shape of Gretchen’s data can be described as
. Because of this, the
would be the best measure of center for this data set. The actual value for the best measure of center is
.

Answer 1

I don’t have Gretchen’s histogram or data, so I can’t fill in the exact words and number. Tell me (or paste) the histogram or the data and I’ll fill every blank.

If you want to decide on your own, here’s how to choose and compute each blank:

1. Determine the shape from the histogram:
- symmetric (bell-shaped) — single peak with matching tails on both sides
- skewed right (positively skewed) — long tail to the right
- skewed left (negatively skewed) — long tail to the left
- bimodal — two distinct peaks
- uniform — roughly equal heights across bins

2. Pick the best measure of center:
- symmetric or uniform: the mean is a good measure of center
- skewed (left or right): the median is a better measure of center (less affected by extreme values)
- bimodal: neither mean nor median fully describes center; report the two modes and consider median as a summary

3. Compute the actual value:
- mean = (sum of data values) / (number of values)
- median = middle value after sorting (if n is even, average the two middle values)
- if you only have a histogram, approximate the median by cumulative frequencies: find the bin where cumulative frequency passes 50% and interpolate if needed.

If you paste the data or an image/description of the histogram (peak location, tail direction, number of peaks), I’ll fill in the three blanks exactly.