Question 1

What is the median for the numbers 89, 87, 94, 82, 89, 91, 95, 88, 90, 87, 92 and 93?

Accepted Answer

The median of the number set above is 89.5. The median is the number that falls in the middle of the set when the numbers are ordered by numeric value (least to greatest). The set above should be ordered as follows: 82, 87, 87, 88, 89, 89, 90, 91, 92, 93, 94, 95. When there is an even number of entrants in the set, the middle two numbers should be averaged together to find the median. This sequence has 12 numbers and the middle two are 89 and 90, which equal 89.5 when averaged.

Question 2

What is the mode for the following set of numbers? 1, 7, 8, 7, 9, 1, 2, 4, 5, 1, 3, 6, 6, 0, 9, 3, 0, 1, 4, 6

Accepted Answer

The mode (the number that occurs most frequently in the set) for the number set above is 1, which occurred four times in the 20 number series. 4.15 is the mean; 4 is the median or middle number when the numbers are in ascending order: 0, 0, 1, 1, 1, 1, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 7, 8, 9, 9.

Question 3

What is 5/6?

Accepted Answer

5/6 is equal to .8333. The 3s repeat forever.
Key Takeaway: Memorize 1/6 and 5/6 to speed your calculations up (trust me, it's worth it).
1/6 = .166666
5/6 = .833333

Question 4

What is the median for the following set of numbers? 15, 62, 47, 33, 89, 4, 76, 40, 54

Accepted Answer

The median or the middle number when the numbers are in ascending order (4, 15, 33, 40, 47, 54, 62, 76, 89) for the number set above is 47. The mean is about 46.7. There is no mode because each number occurs only one time in the set.

Question 5

To find the percentage (p) of any number (n), which formula can be used?

Accepted Answer

To find the percentage of any number, such as 42% of 677, for example, multiply the percentage in its whole value by the number, then divide the product by 100. (42 x 677) ÷ 100 = 284.34.

Question 6

The division of your company that you oversee contains 18 employees whose total salary last year was $855,000. The average salary of all company employees with the same level of responsibility and qualifications is $50,000. Is your department above or below the company average?

Accepted Answer

The average salary of a worker in your department is $47,500, which is 5% below the company average. Divide your workers' total salary by the number of workers. There is a $2,500 difference between the average salary in your division and the company's average. $2,500 is 5% of $50,000.

Question 7

All data can be divided into four equal sections that are called:

Accepted Answer

Each of the four sections into which data can be divided is called a quartile. Quartiles are commonly used when analyzing data in which time is a significant variable or influence, such as the crime rate in an urban center over the course of a year. A lot of financial data is customarily divided into quartiles.

Question 8

What is the mode for the following set of numbers? 27, 29, 26, 25, 24, 22, 26, 21, 23, 28

Accepted Answer

The mode (the number that occurs most frequently in the set) for the number set above is 26, which occurred twice in the 10 number series. 25.1 is the mean; 25.5 is the median or middle number when the numbers are in ascending order: 21, 22, 23, 24, 25, 26, 26, 27, 28, 29.

Question 9

Using data to predict what might occur in the future, beyond what the data set has explicitly demonstrated, is called:

Accepted Answer

Extrapolation is the use of recorded data to predict events in similar groups or in the future. For example, if annual standardized test scores decreased in Alabama, Georgia and Louisiana, that data could be used to extrapolate (or predict) that annual standardized test scores also decreased in Mississippi.

Question 10

Data that is weighted toward one end of the numerical range in which it occurs is:

Accepted Answer

Data that is asymmetrically concentrated at one end of a numerical range is skewed. This may be the result of faulty data collection (such as a poor poll or survey) or may be a completely natural phenomenon. A skewed graph or data set is not necessarily an indication of fault, flaw or wrongdoing, but may merely demonstrate a disproportionate relationship.

Question 11

What is the mode for the numbers 34, 62, 58, 49, 37, 85, 22, 44, 37 and 52?

Accepted Answer

The mode for the number set above is 37. It is the number that occurs most frequently in a number set. 37 occurs twice, while all of the other numbers occur once. The order of the numbers is not relevant nor is the number of entrants in the set.

Question 12

In a jar of candy there are 127 red candies, 92 orange ones, 108 yellow ones, 77 green ones, and 13 blue candies. If a person reaches into the jar without looking and grabs one piece of candy, what is the probability of that piece being red?

Accepted Answer

A person reaching into the candy jar would have a 30% chance of pulling out a piece of red candy. There are 417 pieces of candy in the jar altogether, which means the person has 127 chances in 417 to pull out a piece of red candy (or 127/417 if the candy is red). To convert that to a percentage, divide the number of chances to get a red candy (127) by the total number of pieces (417), then multiply the quotient by 100.

Question 13

What part of a poll or survey is considered the 'sample'?

Accepted Answer

The small group of participants in a survey or poll is called the sample (or sample group) because they are theoretically meant to be a sampling of the larger population that the survey or poll aims to describe. For example, when election day exit polls are conducted, random voters are asked about their vote as they walk out of their polling place. This takes place in myriad locations nationwide. Only a small portion of voters ultimately participate in an exit poll, but the results of exit polls are used to predict what the entire body of voters did that day. The voters who actually participate in the exit poll are the sample group.

Question 14

What is the mean for the following distances? 206 miles, 410 miles, 97 miles, 125 miles, 999 miles, 234 miles

Accepted Answer

The mean for the data set above is 345.17 miles. The median or middle number when the numbers are in ascending order (97 miles, 125 miles, 206 miles, 234 miles, 410 miles, 999 miles) is 220 miles. There is no mode because each number is unique to the set.

Question 15

The test scores for eight students are 97, 94, 98, 97, 89, 92, 68 and 96. What would the seventh score be considered?

Accepted Answer

A piece of data that is atypical or significantly different from the rest of its data set is called an outlier. While true outliers are often easy to spot with critical thinking skills alone, there is also a mathematical precept for assessing these anomalies. Generally, a number that is two or more standard deviations from the mean is considered an outlier. In some cases, outliers can skew data significantly, which is why identifying them is critical. Occasionally, an outlier can be removed justifiably from a data set to improve the data's reliability.

Question 16

What is the outlier in the following set: 11, 22, 33, 44, 55, 112, 23, 34 and 45?

Accepted Answer

The outlier is 112. An outlier is any number that is widely divergent from the rest of a data set, and it can be deduced logically, in many cases. It can be found arithmetically as well. An outlier is usually any number that is more than two standard deviations from the mean. The mean of the number set is about 42 (42.11). The standard deviation for the set is about 29.5. 42 + 29.5 + 29.5 = 101; therefore, any number greater than 101 is an outlier in this set. 101 < 112, therefore 112 is an outlier.

Question 17

A variable that affects the data collected but is not accounted for or demonstrated in the statistical measure of the data is a:

Accepted Answer

A lurking variable is information directly related to the independent and dependent variables in statistical analysis, that has an effect on the data being analyzed, but is not accounted for in the analysis. Lurking variables that are not accounted for in data analysis can cause the resulting predictions to be inaccurate or incomplete. Lurking variables can also be called confounding variables.

Question 18

Mary has 2 quarts of ice cream. She shares a half of a quart with her friend, Bill. How many pints does she have left?

Accepted Answer

Mary has 3 pints left. There are 2 pints in a quart. If Mary has 2 quarts of ice cream, she has 4 pints. If she gives half of a quart away, she is giving away 1 pint. The result is 3 pints.

Question 19

A company just distributed candy bars wrapped with golden tickets hidden within ordinary shipments of their product. The company spokesperson announces that there is a "one in one thousand chance" of someone finding a golden ticket when they open a candy bar, and that 500,000 candy bars have been distributed in the golden ticket promotion. If a person buys three of the candy bars, what is their chance of finding a golden ticket?

Accepted Answer

A person with three eligible candy bars has a 0.3% chance of receiving one of the golden tickets. There is one golden ticket in every 1000 candy bars and there are 500,000 candy bars that could possibly have the prize. That means there are 500 golden tickets waiting to be found, and each candy bar has a 0.1% chance of having a ticket (500/500,000). If the person has three candy bars, that triples their 0.1% chance of finding a golden ticket.

Question 20

Is 40÷5>, =, or < 49÷7?

Accepted Answer

40÷5 > 49÷7. In other words, 8 > 7.

Quiz 1: Math and History: the Story of Jeannette Rankin