I. Fill in the blanks (4 points for each question, 20 points for * * *)
1, the median and mode of samples 6, 7, 8, 9, 10, 10 are respectively.
2. The five cards marked with 1, 2, 3, 4 and 5 have no difference except the numbers. Now they are.
Back up, the probability of getting even cards is _ _ _ _.
3. As shown in figure 1, it is a wooden disc. There are two concentric circles in the figure, in which the diameter of the big circle is 20cm and the diameter of the small circle is 10cm. A bird flies freely in the air, and the probability that the bird stops in a small circle (shaded part) is.
Even if you roll the dice five times, you won't get 6 points. The probability of getting 6 points for the sixth time is.
5. As shown in Figure 2, it is a fan-shaped statistical chart of the results of a math test of 50 students in Class 1, Grade 9 in a school. According to the fractional segments divided in the figure, the percentage of fractional segments in the test results is _ _ _ _ _ _ _ _ _; There are _ _ _ _ people with 85 points or above.
Second, multiple-choice questions (3 points for each question, ***24 points)
6, the inevitable event in the following events is ()
A. turn on the TV. There is an advertisement.
B. Take out a ball from a jar with only white balls. The ball pulled out is a white ball.
C. Thumbnails falling from a certain height should face upwards after landing.
D It must be sunny in Xiamen on June/KLOC-0 this year.
7. The math teacher made a statistical analysis of Xiaoming's five simulated math exams before the college entrance examination to judge whether Xiaoming's math scores were stable, so the teacher needed to know Xiaoming's five math scores ().
A, mean or median b, variance or extreme range
C, mode or frequency d, frequency or mode
8. The following figure is a fan-shaped statistical chart of the annual expenditure of two families, A and B. According to the statistical chart, the following judgment on the annual food expenditure is correct ().
A, A has more households than B.
B and B have more B households than A households.
There are as many households as there are C, A and B.
D, we can't be sure which is more.
9, the inevitable event in the following events is ()
A. turn on the TV. There is an advertisement.
B. Take out a ball from a jar with only white balls. The ball pulled out is a white ball.
C. Thumbnails falling from a certain height should face upwards after landing.
D It must be sunny in Xiamen on June/KLOC-0 this year.
10, the interactive link of "Treasure Box" in CCTV's "Lucky 52" column is a quiz game, and the rules of the game are as follows: among the 20 trademarks, 5 trademarks are marked with a certain bonus amount on the back, while the other trademarks are marked with a crying face on the back. If you turn to crying, you won't win the prize. The audience participating in this game will have three chances to flop (the turned cards can't be flipped again)
A, B, C, D,
1 1. Xiaoming uses the system shown in the figure below to describe his weekly expenditure.
The plan proves that the following statement is correct ()
A. the specific consumption amount can be directly seen from the figure.
B. you can directly see the total consumption from the picture.
C. From the figure, you can directly see the percentage of each consumption amount to the total consumption amount.
D. From the picture, you can directly see the specific changes of various consumption amounts in a week.
12, Party A and Party B participate in the training of a sports event. In order to facilitate the study, the last five training results are connected by solid lines and dotted lines respectively, as shown in the figure, the following error is ().
The second grade of A.B. is the same as the fifth grade.
B. the result of the third test a is the same as that of B.
C in the fourth exam, A scored 2 points more than B.
D. Five tests showed that A scored higher than B.
In the two disks shown in 13 and Figure 4, the probability that the pointer falls on each number is equal, so the probability that the two pointers fall on the even number at the same time is ().
A.B. C. D。
Iii. Answering questions (from 14 to 15, each with 10, and from 16 to 18, each with 12).
14. Wash the three cards marked with the numbers 1, 2 and 3, and put them on the table with their backs up.
(1) randomly select one, and find the probability of extracting odd numbers;
(2) What two digits can be formed by randomly selecting one of the ten digits as a number (not put back) and then selecting one of the digits as a number? What is the probability of being exactly 32?
1 5. Xiaoying and Xiaoli play the game of matching purple with two turntables. Xiaoying gets 1 by matching purple, otherwise Xiaoli gets 1. Is this game fair to both sides? (red+blue = purple, the winner is purple)
17. There is a roulette game. The roulette wheel is divided into 10 on average (as shown in the figure), marked with 1, 2, ... respectively, 10. There are fixed hands on the roulette wheel. When the roulette wheel stops rotating, the number pointed by the pointer is the transferred number.
(1) Guess odd or even numbers;
(2) Guess whether it is a multiple of 3;
(3) Guess the number greater than 4 or the number not greater than 4.
If you are a guessing game, which guessing method do you choose in order to win as much as possible? How to guess?
18. As shown in the figure, the box contains exactly the same balls, marked with "A", "B" and "C" respectively. Take a ball out of the box at random and rotate the turntable freely (the turntable is divided into three sectors with equal area). Xiao Gang and Xiao Ming played games with them, and agreed that if the letters on the ball they found were the same as those on which the pointer was aimed after the turntable stopped, Xiao Ming would get 650.
(1) Do you think this game is fair? Why?
(2) If it is unfair, how to modify the agreement to make the game fair to both parties?
(3) If the box and turntable are used to play the game, the player must pay the game fee 1 yuan for each game. If the letter on the ball touched by the player is the same as the letter pointed by the pointer after the turntable stops, 2 yuan will be rewarded, otherwise there will be no reward. Is the game good for players?