Calculating and Interpreting z-Scores Answers

The five-number summary for the lengths of songs, in minutes, performed by a popular music group is given below.Minimum: 1.8 Q1: 3.3 Median: 3.8 Q3: 4.5 Maximum: 9.2 What is the IQR for the distribution of song lengths?

The boxplot below displays the arm spans for 44 students.

A 10-item statistics quiz was given to 30 students. The table below gives the scores received along with the corresponding frequencies.

As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.1, 4, 4, 4, 4, 6, 5

You are challenged to a lucky draw game. If you draw a face card (K, Q, J) from a standard deck of cards, you earn 10 points. If you draw any other card, you lose 2 points. What is the expected value of a draw?

Nikhil asked 120 randomly chosen moviegoers to watch a clip of an upcoming movie and choose the best title. The title "Everything” was chosen by 36 of the moviegoers as the preferred title.

IQ scores are collected from a sample of students at a large university. The scores are shown below.99, 100, 105, 104, 102, 105, 105, 121, 104

A sample of 50 people was randomly chosen, and 60% of them said that they would rather eat breakfast at home than at a restaurant.

Data were collected from a typing class with 45 students. The class had an average of 56 words per minute (WPM) with a standard deviation of 7 WPM. The teacher realized that the data from one student who typed 55 WPM was not entered. If this student’s results were included in the data set, what effect would it have on the standard deviation?

As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. The point scheme for the game is detailed in the table below.Point Values for Marble GameBlack Marble PointsRed Marble PointsBoth black: +2 pointsBoth red: +4 pointsDifferent colors: –1 pointDifferent colors: –1 pointBoth red: 0 pointsBoth black: 0 pointsIf Seth is challenged to a game by a classmate, which statement below is correct in all aspects in helping him make the correct choice?

The parallel boxplots below display the quiz grades (out of 30) for two of Mrs. Smith’s Statistics classes.

Joe is interested in the prices of homes sold in his area. He found a list of the selling prices of 50 homes for the past month. Most of the homes sold for $100,000–$350,000, but there were a few that sold for more than $1,000,000. Which of the following statements is true about the mean and median selling price for the 50 homes?

The distribution of the salaries at a small business is strongly skewed with many people making very modest salaries and a few making very large salaries. Which measure of center, mean or median, is a better indication of a "typical” salary at this business?

Two students have devised a dice game named “Sums” for their statistics class. The game consists of choosing to play odds or evens. Probabilities for “Sums”Roll23456789101112P(roll)Each person takes turns rolling two dice. If the sum is odd, the person playing odds gets points equal to the sum of the roll. If the sum is even, the person playing evens gets points equal to the sum of the roll. Note that the points earned is independent of who is rolling the dice.If Jessica is challenged to a game of Sums, which statement below is accurate in every aspect in guiding her to the correct choice of choosing to play odds or evens?

Without making any calculations, which data set has the smallest standard deviation?

You pick a card at random from an ordinary deck of 52 cards. If the card is a diamond, you get some points; if not, you lose 2 points. What value for the diamonds would make the game fair?

Thirteen students in a statistics class were asked how many siblings they have. Their responses are listed below.0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6Which of the following is the five-number summary for the data?

The parallel dotplots below display the number of cars parked for several days in each of two parking lots.

Some teenagers collected trash for a beach cleanup. The data for the number of pounds of trash collected by each teenager are shown below.26, 26, 21, 22, 20, 25, 35