MIRAMAR COLLEGE/FALL 2020 MATH 119
MATH 119 WORKSHEET 2
Prof. To
ez NAME: _________________________________________________________
1. Two researchers are gathering data on hours of video games played by school-aged children and young adults. They each randomly sample different groups of 150 students from the same school and collected the data displayed in the table below.
a. Estimate the sample mean using the frequency table below.
Hours Played per Week
Midpoint x
Frequency f
Rel.Frequency
Cumulative Rel.Frequency
0–2
26
0.17
0.17
2–4
30
0.20
0.37
4–6
49
0.33
0.70
6–8
25
0.17
0.87
8–10
12
0.08
0.95
10–12
8
0.05
1
n = 150
Σ = 1
SOLUTION
. Draw a relative frequency histogram of the data. (Label the axes. Use a ruler.)
2. Toss a fair coin 3 times. Assume that there is an equal chance of heads and tails on any one toss. List all 8 outcomes for this experiment on the first row of the table. On the second row indicate the number of heads in 3 tosses.
3. Let X = # of heads in 3 tosses. Construct a frequency table for this random variable X.
X = x
Relative Frequency #(X=x)/8
X = 0
X = 1
X = 2
X = 3
Sum =
Use #1 to estimate the average number of heads in 3 tosses of the fair coin.
4. Test scores for a college statistics class held during the evening are: 25.5; 45; 65; 68; 76; 78; 78; 79; 79; 80; 81; 81; 83; 84.5; 85; 88; 89; 90; 90; 98; 98; 98. Fill in the table:
SOLUTION
n =
min =
Q1 =
median =
Q3 =
max =
5. Construct a box plot of the data in 4. Use a ruler for full credit.
2