(capitalization error)

1) "the spring," in small letters, is incorrect. In a title, the first word, last word, and every important word should be capitalized. Don't worry about the exact rule until you are an advanced student--just capitalize every word, it's good enough. In this case,

The Spring

(grammar error)

2) there they always say

(style detail)

3) "the meteorological news" is correct, but unnatural. I would rewrite the first sentence:

It's really amazing how, every spring or summer, meteorologists on the news always say that it's "the hottest, driest weather in 50 years".

(grammar error)

4) in at a really accelerate accelerated speed

(usage/style detail)

"statistical" doesn't work here. It's just not right. And "or" doesn't introduce it well. "Or" links a series of similar items. I would rewrite

or the statistical is something really flexible to something like this:

apparently, statistics can be very flexible.

(style issue)

I would break the paragraph into sentences in a different way. The general rule is that a sentence contains one thought.  "Hottest in 50 years" and "become a desert" are related ideas, and thus are a single thought and can go in the same sentence. "Statistics are flexible" is really a different thought and belongs in a difference sentence. Thus:

The Spring
It's really amazing how, every spring or summer, meteorologists on the news always say that it's "the hottest, driest weather in 50 years," or that the planet is rapidly becoming a complete desert at a really accelerated speed. It appears as if statistics can be very flexible.

(cultural note)

There is a saying, attributed to Mark Twain, that is famous and familiar to most English speakers: "There are three kinds of lies: lies, damned lies, and statistics."