Probability and Statistics

The dot plot shows how much time each person spends eating breakfast. What is the mode of the data?

• 1

• 6

• 10

• 5.7

The number of students in each grade who are enrolled in summer school is given. What is the mean number of students enrolled in the six grade levels?

• 21

• 23

• 25

• 27

Jana's card deck contains three jacks, five queens and seven kings. It also has three aces. Jana removed a queen from the deck and replaced it with an ace. Then she took a card out at random. What is the probability that she removed a jack?

•  $\frac{1}{4}$  

•  $\frac{1}{12}$  

•  $\frac{1}{6}$  

•  $\frac{3}{11}$  

71 people took a survey of the food at Luigi's restaurant. Each person voted on their favorite dish. 13 people chose panzanella, 45 chose spaghetti and meatballs, 10 chose mushroom risotto and 3 chose shrimp pizza. Which of the following statements is true of the data?

• The mean vote is 38.

• The range of votes is 35.

• The sum of the range of votes and median of votes is 53.5.

• The difference between the mean of votes and median of votes is 25.

Candace rolled a dice, flipped a coin and drew a card from a deck with six red cards and two blue cards. What is the probability that Candace rolled a number greater than four on the dice, flipped heads on the coin, and picked either a red card or a blue card from the deck?

• $\frac{1}{5}$

• $\frac{1}{6}$

• $1$

• $\frac{2}{3}$

Suppose a sock drawer contains 14 brown socks, 8 black socks and 6 orange socks. What is the probability of pulling out a two socks with the same color on the first try?

• $\frac{38}{119}$

• $\frac{203}{430}$

• $\frac{67}{189}$

• $\frac{93}{112}$

8 people attended a White Elephant party. Each person bought a gift, wrapped it and put it on the table. 5 of the gifts were red, 2 of the gifts were purple, and 1 gift was green. The first person came forward and selected a gift. What is the probability that the gift was not green?

• $\frac{5}{8}$

• $\frac{1}{8}$

• $\frac{8}{17}$

• $\frac{7}{8}$