Question

to better understand library usage patterns, a librarian figured out how many books were checked out by some patrons last year.
checking out books from the library
(there is a dot plot here with xs: above 1 there are 4 xs, above 2 there are 3 xs, above 3 there are 0 xs, above 4 there are 2 xs, above 5 there is 1 x. the horizontal axis is labeled books checked out with ticks at 1, 2, 3, 4, 5.)
how many patrons checked out at least 2 books?
patrons
submit

Explanation:

Step1: Count patrons with 2 books

From the plot, number of X's above 2 is 3. So patrons with 2 books: 3.

Step2: Count patrons with 4 books

Number of X's above 4 is 2. So patrons with 4 books: 2.

Step3: Count patrons with 5 books

Number of X's above 5 is 1. So patrons with 5 books: 1.

Step4: Sum the counts

Total patrons with at least 2 books = 3 (for 2) + 2 (for 4) + 1 (for 5) + 0 (for 3, since no X's above 3) = 3 + 2 + 1 = 6? Wait, wait, no. Wait, the values are 2, 4, 5. Wait, also, wait the x-axis is 1,2,3,4,5. So for "at least 2", we include 2,3,4,5. Wait, I missed 3. Wait, above 3, how many X's? Zero. So:

Patrons with 2 books: 3 (X's above 2)
Patrons with 3 books: 0 (no X's above 3)
Patrons with 4 books: 2 (X's above 4)
Patrons with 5 books: 1 (X's above 5)
Wait, no, wait the plot:

Above 1: 4 X's (so 4 patrons with 1 book)
Above 2: 3 X's (3 patrons with 2 books)
Above 3: 0 X's (0 patrons with 3 books)
Above 4: 2 X's (2 patrons with 4 books)
Above 5: 1 X (1 patron with 5 books)

So "at least 2" means 2 or more. So sum patrons with 2, 3, 4, 5 books.

Patrons with 2: 3
Patrons with 3: 0
Patrons with 4: 2
Patrons with 5: 1

Total = 3 + 0 + 2 + 1 = 6? Wait, no, wait maybe I miscounted the X's. Let's re-examine the plot:

Looking at the image:

- Above 1: 4 X's (so 4 patrons checked out 1 book)
- Above 2: 3 X's (3 patrons checked out 2 books)
- Above 3: 0 X's (0 patrons checked out 3 books)
- Above 4: 2 X's (2 patrons checked out 4 books)
- Above 5: 1 X (1 patron checked out 5 books)

So "at least 2" means 2, 3, 4, 5. So:

Patrons with 2 books: 3

Patrons with 3 books: 0

Patrons with 4 books: 2

Patrons with 5 books: 1

Total = 3 + 0 + 2 + 1 = 6? Wait, but wait, maybe I made a mistake. Wait, the problem says "at least 2", so 2 or more. So 2, 3, 4, 5.

Wait, another way: total patrons with 2, 4, 5 (since 3 has 0). Wait, 3 + 0 + 2 + 1 = 6. Wait, but let's check again.

Wait the X's:

- 1: 4 X's

- 2: 3 X's

- 3: 0 X's

- 4: 2 X's

- 5: 1 X

So "at least 2" is 2,3,4,5. So sum the number of X's for 2,3,4,5.

Number of X's for 2: 3

Number of X's for 3: 0

Number of X's for 4: 2

Number of X's for 5: 1

Total: 3 + 0 + 2 + 1 = 6. Wait, but maybe I missed that 3 has 0, so yes. So total is 3 + 0 + 2 + 1 = 6? Wait, no, wait 3 (for 2) + 0 (for 3) + 2 (for 4) + 1 (for 5) = 6. Wait, but let's add again: 3 + 2 is 5, plus 1 is 6, plus 0 is 6. Yes.

Wait, but maybe I made a mistake in counting. Let's see:

For 2: three X's. Correct.

For 4: two X's. Correct.

For 5: one X. Correct.

For 3: zero. Correct.

So 3 + 0 + 2 + 1 = 6. Wait, but wait, the question is "at least 2", so 2 or more. So 2,3,4,5. So sum the counts for each of these. So 3 (2) + 0 (3) + 2 (4) + 1 (5) = 6. So the total number of patrons who checked out at least 2 books is 3 + 0 + 2 + 1 = 6? Wait, no, wait 3 (for 2) + 2 (for 4) + 1 (for 5) + 0 (for 3) = 6. Yes.

Wait, but wait, maybe I misread the plot. Let me check again. The plot:

- Above 1: four X's (so 4 patrons with 1 book)

- Above 2: three X's (3 patrons with 2 books)

- Above 3: zero X's (0 patrons with 3 books)

- Above 4: two X's (2 patrons with 4 books)

- Above 5: one X (1 patron with 5 books)

So "at least 2" means 2 or more. So patrons with 2,3,4,5 books. So number of patrons:

2 books: 3

3 books: 0

4 books: 2

5 books: 1

Total: 3 + 0 + 2 + 1 = 6. So the answer is 6.

Wait, but wait, maybe I made a mistake. Let's add again: 3 (for 2) + 2 (for 4) is 5, plus 1 (for 5) is 6, plus 0 (for 3) is 6. Yes. So the total number of patrons who checked out at least 2 books is 6.

Wait, but let's confirm. The problem says "at least 2", which is ≥2. So the values are 2,3,4,5. So count the number of X's for each of these.

For 2: 3 X's

For 3: 0 X's

For 4: 2 X's

For 5: 1 X

Total: 3 + 0 + 2 + 1 = 6. So the answer is 6.

Answer:

6