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MCAS Math – Data Analysis, Statistics, and Probability (Set 2) For the following questions, you can use a calculator. Show all your work. Answers only mean that you will not receive credit for that question.
1. The stem-and-leaf plot below shows the prices, rounded to the nearest dollar, of 25 sweaters sold in the women's department at a store.
What percent of the sweater prices are less than $40?
A. 17% B. 40%
C. 50% D. 68%
2. Four major underwater tunnels were constructed in New York City between 1925 and 1950. The tunnels and their lengths are listed in the chart below.
Which of the following is closest to the
mean of these four lengths?
A. 2.20 kilometers B. 2.35 kilometers
C. 2.45 kilometers D. 2.55 kilometers
3. The stem-and-leaf plot below shows the scores on a history exam.
Which of the following measures of the
data is greatest?
A. Mean B. Median
C. Mode D. Range
4. The chart below separates the number of students majoring in math/science from students pursuing other majors at a state college.
What percent of the math/science majors are seniors?
A. 43% B. 30% C. 21% D. 5%
5. The scatter-plot below shows the ages and heights
of 20 trees on a tree farm.
If x = age in years and y = height in meters, which
of the following equations best approximates the
line of best fit for this scatter-plot?
| | A. |y = [pic]x | |C. |y = 2x |
| | B. |y = [pic]x + 5 | |D. |y = 2x + 5 |
6. The circle graph below shows the colors of 160 marbles.
What is the total number of green marbles?
| | A.|8 |
| | B.|20 |
| | C.|40 |
| | D.|45 |
7. Julie is training for a 5-kilometer race. She plotted the distances she ran for each of her first 8 training runs on the line plot below.
a. Determine each of the following for this data
set. Show or explain how you got each of your
answers.
• mean
• median
• mode
Julie still has 2 training runs remaining before the race. She wants to run a distance of 7, 8, or 9 kilometers for each of the remaining runs.
b. What distances, in kilometers, could Julie run for her 2 remaining training runs so that the mean of the distances for all 10 training runs is 5 kilometers? Show or explain how you got your answers.
c. Using your answers from part (b), determine the following for the data set that includes the distances of all 10 training runs. Show or explain how you got each of your answers.
• median
• mode
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