Solve Each Problem. Round Answers to Two Decimal Places

Algebra 2 CC7 Prob and StatsName:

Stats HW #1Period:

Solve each problem. Round answers to two decimal places.

1. Create a frequency table and histogram of the data below on quiz grades.

67, 99, 88, 87, 95, 92, 100, 89, 73, 84, 85, 84, 93, 91, 72, 75, 98, 93, 98, 79

Find the following 4 values

Range=______Mean=______Median=______Mode=______

2. The table below shows a major league baseball player’s season home run totals for the first 14 years of his career.

a.Find the mean, median, standard deviation, and
interquartile range for the data.______

b.Make a line plot for the data.

3. For three weeks, the number of calls per day to a fire and rescue service wererecorded. The results are shown below.

a.Find the mean, median, standard deviation, and
interquartile range for the data.______

b.Draw a histogram for the data. Is the distribution
symmetrical? Explain.

______

______

4. For 10 weeks, Kay recorded the amount of gas, in gallons, she used while driving. The results were 10, 14, 18, 12, 20, 24, 9, 25, 14, 16.

a.Find the mean, median, standard deviation, and
interquartile range for the data. ______

b.Make a box plot for the data. What type of shape
does the box plot show? Explain.

______

______

5. The line plot below shows the ages of 20 presidents of the United States upon first taking office.

a.Find the mean, median, standard deviation, and interquartile range for
the data.

______

b.Describe the shape of the data. What does the shape tell you in terms
of the problem situation?

______

c.A president not included in the data set above is Grover Cleveland,
who took office on March 4, 1893. Based on your work so far, make an
educated guess as to his age that day. Explain your reasoning. Then
find his age on the Internet.

______

6. Harmon Killebrew and Willie Mays were two of baseball’s greatest home run hitters. Their season home run totals are shown below.

Harmon Killebrew: 0, 4, 5, 2, 0, 42, 31, 46, 48, 45, 49, 25, 39, 44,
17, 49, 41, 28, 26, 5, 13, 14

Willie Mays: 20, 4, 41, 51, 36, 35, 29, 34, 29, 40, 49, 38, 47, 52, 37,
22, 23, 13, 28, 18, 8, 6

a.Find the mean, median, standard deviation, and interquartile range for
the each set of data.

______

b.Make a double box plot for Killebrew and Mays.

c.Use the box plots to describe how Killebrew and Mays were alike and
different in their home run production.

______

Stats HW#1 Solutions

1.

2.a. : 27.57; median: 28.5; s: 6.26;
IQR: 10

b.

3.a. : 8.52; median: 8; s: 6.05; IQR: 11

b.Possible answer: It is not symmetrical. More data falls to the left of the center, especially in the first interval

4.a. : 16.2; median: 15; s: 5.51; IQR: 8

b.The part of the box to the right of the median is wider than the part to the left, and the “whisker” on the right is longer than the one on the left.

5. a.: 54.15; median: 54; s: 6.85; IQR: 7

b.The data are skewed right. The age of a president is more likely to be older than the median age.

c.Possible answer: Because the mean and median are close to 54, my guess is that Cleveland was 54 years old. (His actual age was 55.)

6. a.Killebrew: : 26.05; median: 27; s: 18.25; IQR: 39; Mays: : 30; median: 31.5; s: 14.43; IQR: 20

b.

c.Possible answer: Their mean and medians are pretty close, but it looks like Mays was a more consistent home run hitter. According to his box plot, he hit 20 or more home runs in 75% of his seasons and 40 or more home runs in 25% of his seasons. Killebrew had many great seasons, hitting 44 or more home runs in 25% of his seasons, but he also had some years without many home runs. In 25% of his seasons, he hit 5 or fewer. That helps explains why his mean and median are slightly lower than Mays’s.