Question

Two types of light bulbs, Type A and Type B, are being considered for installation in street lamps. A city government does an analysis of the lifetimes of each light bulb in order to make the best selection. The results are shown in the dot plots.





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Place an option in each space to complete the sentence. Answers may be used more than once.

Drag and drop an answer choice into each empty box below.
Type AType B
Comparing the lifespans of the two light bulbs, lasts longer on average and has more variation in lifespan.

Answer 1

I don't see the dot-plot images here. Could you either re-upload the images or type the data (the x-values and how many dots at each value) for Type A and Type B? Then I can pick the correct options.

If you want to decide it yourself, here are the steps to determine each blank:

- Which lasts longer on average: compare the centers (mean or median) of the two dot plots.
- To compute the mean from a dot plot: multiply each value by its dot count, add those products, and divide by the total number of dots.
- To use the median: list values in order (with multiplicity) and pick the middle value (or average the two middle values) — whichever is simpler from the plot.

- Which has more variation: compare spreads (range or IQR).
- Range = max value − min value (easy to read from a dot plot).
- IQR: find the 25th and 75th percentiles (use cumulative dot counts) and compute Q3 − Q1.
- Whichever distribution has the larger range or larger IQR is the more variable one.

If you give the plots or the counts, I’ll compute the center and spread and fill in the blanks (Type A or Type B).