# Descriptive Statistic and Probility

Hawkes-Learning Questions #1-13

1.1-1.8 Identify Statistical Terms:

Explanation: The reason why the statement represents Population is because it wants to know the total amount of money each person receives that month. If it was a sample then it would have a specific amount of people that will receive their money.

Explanation: The reason why it is a sample is because the statement wants to know the type of cars of the 25 employees working at the local news network. If it was a Population then it would include everybody cars that works at the local news network.

# 3.Answer is All children in Mrs. Smith’s kindergarten class.

Explanation: You can tell that the statement above is a Sample. The reason why it is a sample is because it is naming a specific amount of children which is 13. So the population is going to be the total amount of children in her class.

# 5.Answer is Population: All professors at the local college.

Explanation: Since the Sample is already provided in the statement. The population would have to be the total number of professors at the local college.

2.2 Define Variables As Categorical And Numerical:

# 1.Answer is Quantitative, Continuous, Ratio,.

Explanation: The reason why this statement is Continuous is because every 6 randomly months they are continuing the same amount of rainfalls. What they are measuring is the amount of rainfalls randomly every 6 months that’s the Quantitative. Ratio is the answer because it is comparing two things Rainfalls and The Amount of water for those random 6 months.

# 2.Answer is Qualitative, Neither, Ordinal,.

Explanation: The reason why it is Qualitative Data is because the international marketing group are asking questions to residents of 50 countries about their experience of American products and also because it is an opinion. The reason Neither is the answer because it can’t count like numbers would. Since this data is asking an opinion on American products then it can’t be accurate data. The reason it is Ordinal because it wants to know the order from Below Average to Good to Excellent which indicates that it is an opinion.

Explanation: The reason it is Continuous Data is because it is only in range of the height in Sunflowers growing in the garden.

Explanation: The reason why the statement is Discrete is because it is separating the school and the number of students in each statistics class.

Explanation: Neither is the answer choice for this statement because it does not represent any kind of data.

3.1 Summarize Data With Frequency Distribution Table:

Explanation: Go to the data chart. You would divide 6 into 151, then multiply by 100%. 151 is the total number of complaints. Round if necessary, equal 3.97%.

Explanation::Go to the data chart. You would divide 8 into 151, then multiply by 100%. 151 is the total number of complaints. Round if necessary, equal 5.30%.

Explanation::Go to the data chart. You would divide 4 into 151, then multiply by 100%. 151 is the total number of complaints. Round if necessary, equal 2.65%.

Explanation: You would add the excessive oil consumption and seat belts/airbags malfunction 20 and 13, and then divide it by the total which is 192 and multiply by 100%.

3.2 Interpret Data Graphically:

Explanation: You would calculate all the students’ blood type together from highest to lowest.

# 2.Answer is Mississippi at 23,448

Explanation: By examining the graphs you would have to see which state has the lowest income in the year of 2003.

Explanation: For each recommended investment you would have to multiply by the given number. Since they already gave you the bond, which is 43.73% and Allen’s saving. All you would do is multiply both and round. If there is no rounding necessary then leave it as is.

Explanation: The reason why this statement is True because graphs are all based on data. They use the entire dataset instead of using the specific amount in data.

3.3 Calculate Relative and Cumulative Frequencies:

Explanation: Since you are only looking for the third and fourth class. You are only going to subtract the two lowest classes from each, so that would be 43-34. That would get your solution 9.

Explanation: Add up all the frequencies together which will equal 40. In the third class there are 6 frequencies. So, you would divide 10 over 40, since 6 is an even number you would have to break it down which would equal 3.Also you would have to break down the 40 as well, which would be 1/4.

Explanation: Add up all the frequencies together which will equal 40. In the third class there are 6 frequencies. So, you would divide 6 over 40, since 6 is an even number you would have to break it down which would equal 3.Also you would have to break down the 40 as well, which your final solution would be 3/20.

Explanation :For each class percentages you would have to count the number of data points.

Explanation: Since we are only using Children Fiction percentages from the pie chart. Then all you would have to do is convert the Children’s Fiction percentage to a decimal then multiply it by the total amount of books which is 1500.

3.4 Visual Numeric Variables Through Histograms

Explanation: If most of the data is to the right bigger than the left then it is skewed left.

Explanation: Since we are looking at the graph, we need to the bar that has highest and most score and that would be 8

Explanation: By putting all of the averages in order from least to greatest, you will be able to see that the highest average is the season 6 in 1999.

Explanation: Since the exam scores are 13 in 6 classes. You would see what two numbers can possibly get you 13.So you would multiply 6 and 2 that is 12.

Explanation: From the bar graph all you would have to do is put the corresponding frequencies with the right classes.

4.1 Calculate Measures of Central Tendency

Explanation: You would add up all of the data set -6,3,10,4,-13,-4 and then divide by 6. The reason why your dividing by 6 is because there are 6 means in the data set.

# 2.Answer is Mean:0.541 Median:0.51 Mode:0.50

Explanation: To calculate the Mean is by adding the first two numbers and the last two numbers and then dividing by twenty. To calculate the Median, is by adding 0.50 and 0.52, then dividing by 20, and the reason why is because in the table those are the only two numbers that repeat more than twice. To calculate the Mode is

Explanation: You would take away the first two numbers 0.30 and 0.34, and the last two numbers 0.78 and 0.79.From 0.35 through 0.78 you would add all the numbers together and divide by 16. The reason for dividing by 16 is because there are 16 numbers left in the data set.

# 5.Answer is Mean,” The Prices for Sofas are quantitative data with no outliers.

Explanation: The mean is the same prices of sofas at different stores. Since there is nothing else added to the statement then there is no outlier.

4.2 Calculate Measures Of Dispersion

Explanation:

# 3.Answer is Masterful Pocket Watches, the smaller standard deviation indicates that Masterful Pocket Watches has less variability in its closing prices than Handy Prosthetics.

Explanation: You can see that in this problem is standard deviation because the Masterful Pocket Watches cost less than the Handy Prosthetics. Since the pocket watches are cheaper than Amy should go with that investment because she would be paying more if she would settle with Handy.

# 4.Answer is Data Set A:11.0% and Data Set B:14.1%

Explanation: To get Data set A you would divide 13.4 into 121.7 and then multiply by 100 percent. And to calculate Data Set B is 0.588 divided by 4.17 multiplied by 100%.

4.3 Interpret Data With Descriptive Statistics

Explanation: By putting the data set in order from Least to Greatest, then you would count each position. Since 1 is the lowest value and 22 is the largest value it’s already set for you.To get the last 3 values you would have to count each position. To get 3, you would count the 4th position in the data set. To get 13, you would count the 8th position data set. To get 17 you would count the 12th position in the data set.

Explanation: The reason why Data Set B is the largest value is because data Set A value is smaller to the right than Data Set B value.

# 3.Answer:The distribution of the Data set is skewed right.

Explanation: The reason why it is skewed right is because since the median is in an unequal position and it is furthest to the right.

Explanation: The reason why it is 25%, is because 177 pounds is the value of the first quartile.
Since 177 players weigh this much exactly 25% of the other players weigh less or equal to.

6.1

Explanation: That if each dice can only take values of 6.The only combinations is 6 multiplied by 6 which will equal 36.Only way to get a sum of 12 it will be 1/36.

Explanation: All that you’re doing is putting the salad in order from Toppings to Meat to Dressing .Also working from left down to right down for each branch.

Explanation:
The reason why it is a subjective probability is because in the statement above is giving an opinion on whether they will receive spanish homework.

Explanation: Since they provided the total amount which is 1527. All you would have to do is get the total amount of females which is 818. You would divide 818 into 1527.

6.2 Calculate simple probabilities

Explanation: So you do 2/36 plus 1/36 that should equal 3/36.After that breakdown to its lowest common factor which is 3. After dividing the numerator by 3 and denominator by 3 you should get 1/12.

Explanation: Since your denominator will stay the same 1748.You would add 119 and 141.Then divide by 1748.You should 260 divided by 1748.That should equal 0.1487.

Explanation: All you would have to do is subtract 100%-73% that would give you 27%.

Explanation: The reason why it is mutually exclusive is because there are two things to compare, the two majors of mathematical and chemistry major. Since each student can only choose one major, that will cause mutually exclusive because one major will be chosen while the other major will take a hit and won’t be selected.

6.3 Calculate Joint and Conditional Probabilities

Explanation: The reason why it is 0.00980451 because if you multiply 13/52,26/52,4/52

Explanation: You would do 25-1=24. Then you divide by 6 into 18/24. That would get you ¾.