ARE THESE ANSWERS CORRECT?
Directions: The playing times for 20 songs on a top-hits radio station are recorded in the chart below.
Using the times listed in the chart, circle the correct answer for questions 1-3 below.
Playing Time (minutes:seconds)
3:32 3:24 2:54 3:07 4:52 3:45 2:39 3:09 3:34 3:26
3:35 4:17 4:03 3:52 5:10 4:59 3:07 4:00 3:07 2:56
1. In a stem-and- leaf plot of this data where 33|2 represents 3:32, which of the following stems has the
fewest number of leaves?
A. 25
B. 30
C. 45
D. 51
2. In a frequency distribution of this data, how many data values are in the class 3:00 – 3:30?
A. 11
B. 5
C. 6 MY ANSWER because between 3:00- 3:30 has frequency of 6 data
D. 7
3. In a histogram of this data, which bar would have the greatest height?
A. 3:00-3:15 MY ANSWER
B. 3:15-3:30
C. 3:30-3:45
D. 3:45-4:00
Statistics - Mary, Sunday, February 8, 2009 at 12:55am
ARE THESE ANSWERS CORRECT?
Directions: The playing times for 20 songs on a top-hits radio station are recorded in the chart below.
Using the times listed in the chart, circle the correct answer for questions 1-3 below.
Playing Time (minutes:seconds)
3:32 3:24 2:54 3:07 4:52 3:45 2:39 3:09 3:34 3:26
3:35 4:17 4:03 3:52 5:10 4:59 3:07 4:00 3:07 2:56
1. In a stem-and- leaf plot of this data where 33|2 represents 3:32, which of the following stems has the
fewest number of leaves?
A. 25
B. 30 MY ANSWER
C. 45
D. 51
2. In a frequency distribution of this data, how many data values are in the class 3:00 – 3:30?
A. 11
B. 5
C. 6 MY ANSWER because between 3:00- 3:30 has frequency of 6 data
D. 7
3. In a histogram of this data, which bar would have the greatest height?
A. 3:00-3:15 MY ANSWER
B. 3:15-3:30
C. 3:30-3:45
D. 3:45-4:00
I changed : to . so I could use ordering software
2.39,
2.54,
2.56,
3.07,
3.07,
3.07,
3.09,
3.24,
3.26,
3.32,
3.34,
3.35,
3.45, note on boundary for part 3
3.52,
4,
4.03,
4.17,
4.52,
4.59,
5.1
1 D. 2 C. 3 A.
To determine if the answers are correct, let's go through each question step by step:
1. In a stem-and-leaf plot, we represent data by separating the digits into two parts: the stem (the larger digits) and the leaf (the smaller digits). In this case, the stem represents the minutes and the leaf represents the seconds. To figure out which stem has the fewest number of leaves, we count the number of times each stem appears in the data. Let's count:
Stem 2: Appearances - 3
Stem 3: Appearances - 10
Stem 4: Appearances - 5
Stem 5: Appearances - 2
From the counts, we can see that Stem 5 has the fewest number of leaves. Therefore, the correct answer is option C. So, the original answer of option B is incorrect.
2. In a frequency distribution, we group the data into intervals or classes and count the number of data values that fall into each class. The class given is 3:00 – 3:30. To determine the number of data values in this class, we count how many times the data falls within this range on the chart:
3:07, 3:09, 3:26, 3:24, 3:07, 3:07, 3:32 - 7
Therefore, the correct answer is option D, as there are 7 data values in the class. So, the original answer of option C is incorrect.
3. In a histogram, each bar represents a class or interval, and the height of the bar corresponds to the frequency or count of data values in that class. To determine which bar would have the greatest height, we need to find out the frequencies of each class. Let's count:
3:00-3:15 - Frequency: 4
3:15-3:30 - Frequency: 3
3:30-3:45 - Frequency: 3
3:45-4:00 - Frequency: 2
From the counts, we can see that the bar for the class 3:00-3:15 has the greatest height. Therefore, the correct answer is option A. So, the original answer of option A is correct.
To summarize, the correct answers are:
1. A. 25
2. D. 7
3. A. 3:00-3:15
The original response had one correct answer and two incorrect answers.