Gutian is a famous red tourist attraction in our county. The following table and statistical chart are the sampling statistics of the number of tourists and ticket prices in a scenic spot in Gutian fo

Gutian is a famous red tourist attraction in our county. The following table and statistical chart are the sampling statistics of the number of tourists and ticket prices in a scenic spot in Gutian for one week. The descending order of (1) data is: 100, 100, 100, 120,160,230,240,

The fourth place 120 is the median,

The data 100 appears three times at most, with an average of =100+100+160+230+2407 =150 (person

So the median of this sample is 120 (person), the mode is 100 (person), and the average is 150 (person).

(2) information: such as

(1) The daily traffic this week is not less than100;

② The number of tourists increased gradually at weekends;

③ The number of visits a week is around 100.

④ Sunday has the largest number of visitors;

⑤ No more than 240 visitors a day this week;

⑥ The number of visitors on Friday is closest to the average level of this week;

The number of visitors on most days of the week is lower than the average number of visitors this week, and so on.

(3)① According to (1), the median of sample data is 120 (person),

Then there are 120 people in group A and group B, including X people in group A and (120-x) people in group B. 。

∵ 0 < 120-x ≤ 50, ∴ Group A has more than 70 people.

1) when 50 < x ≤ 100 and 0 < 120-x ≤ 50, W=6x+8( 120-x).

That is, W=960-2x(70≤x≤ 100)

2) when x > 100 and 0 < 120-x ≤ 50, W=4x+8( 120-x).

That is, w = 960-4x (100 < x <120).

∴ When 70≤x≤ 100, the functional relationship between W and X is w = 960-2x；;

When 100 < X < 120, the functional relationship between w and x is: W = 960-4x.

② According to the meaning of the question x≤ 100,

The ∴W's function relation of x should be: W=960-2x(70≤x≤ 100).

According to the properties of linear function, when x=70, W=960-2×70=820 (yuan).

When two groups buy tickets together, they have to pay 4× 120=480 yuan.

Buying tickets together by two groups can save up to 820-480=340 yuan compared with buying tickets separately.