Math / Data & Statistics

QuestionGrace recorded the number of items bought by each customer in a clothes shop over two days. Her results are shown in the table below.
Work out the mean number of items bought by each customer. Give your answer as a decimal. \begin{tabular}{|c|c|c|} \hline & Saturday & Sunday \\ \hline 1 & 4 & 6 \\ \hline 2 & 1 & 5 \\ \hline 3 & 7 & 2 \\ \hline 4 & 2 & 3 \\ \hline \end{tabular}

Studdy Solution

STEP 1

What is this asking? Find the average number of clothes each customer bought over the weekend. Watch out! Don't just average the numbers in the table directly!
We need to consider how many customers bought each quantity of items.

STEP 2

1. Calculate total items sold on Saturday.
2. Calculate total items sold on Sunday.
3. Calculate total items sold over the weekend.
4. Calculate total number of customers.
5. Calculate the mean.

STEP 3

Let's add up the number of items bought on Saturday!
We have $4$ , $1$ , $7$ , and $2$ .

STEP 4

So, the total items sold on Saturday is $4 + 1 + 7 + 2 = 14$ .
Awesome!

STEP 5

Now, let's do the same for Sunday!
The number of items sold are $6$ , $5$ , $2$ , and $3$ .

STEP 6

Adding those up, we get $6 + 5 + 2 + 3 = 16$ .
Sweet!

STEP 7

To get the total items sold over the entire weekend, we add the totals from Saturday and Sunday.

STEP 8

That's $14 + 16 = 30$ items in total.
Fantastic!

STEP 9

There were four customers on Saturday and four customers on Sunday.

STEP 10

So, over the weekend, there were $4 + 4 = 8$ customers.
Right on!

STEP 11

The mean is the total number of items divided by the total number of customers.

STEP 12

So, the mean is $\frac{30}{8} = 3.75$ items per customer.
Boom!

STEP 13

The mean number of items bought by each customer is $3.75$ .

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Studdy Solution

STEP 1

What is this asking? Find the average number of clothes each customer bought over the weekend. Watch out! Don't just average the numbers in the table directly!
We need to consider how many customers bought each quantity of items.

STEP 2

1. Calculate total items sold on Saturday.
2. Calculate total items sold on Sunday.
3. Calculate total items sold over the weekend.
4. Calculate total number of customers.
5. Calculate the mean.

STEP 3

Let's add up the number of items bought on Saturday!
We have $4$ , $1$ , $7$ , and $2$ .

STEP 4

So, the total items sold on Saturday is $4 + 1 + 7 + 2 = 14$ .
Awesome!

STEP 5

Now, let's do the same for Sunday!
The number of items sold are $6$ , $5$ , $2$ , and $3$ .

STEP 6

Adding those up, we get $6 + 5 + 2 + 3 = 16$ .
Sweet!

STEP 7

To get the total items sold over the entire weekend, we add the totals from Saturday and Sunday.

STEP 8

That's $14 + 16 = 30$ items in total.
Fantastic!

STEP 9

There were four customers on Saturday and four customers on Sunday.

STEP 10

So, over the weekend, there were $4 + 4 = 8$ customers.
Right on!

STEP 11

The mean is the total number of items divided by the total number of customers.

STEP 12

So, the mean is $\frac{30}{8} = 3.75$ items per customer.
Boom!

STEP 13

The mean number of items bought by each customer is $3.75$ .

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Studdy Solution

STEP 1

What is this asking? Find the average number of clothes each customer bought over the weekend. Watch out! Don't just average the numbers in the table directly!We need to consider how many customers bought each quantity of items.

STEP 2

1. Calculate total items sold on Saturday.2. Calculate total items sold on Sunday.3. Calculate total items sold over the weekend.4. Calculate total number of customers.5. Calculate the mean.

STEP 3

Let's **add up** the number of items bought on Saturday!We have 444, 111, 777, and 222.

STEP 4

So, the **total items** sold on Saturday is 4+1+7+2=144 + 1 + 7 + 2 = 144+1+7+2=14.Awesome!

STEP 5

Now, let's do the same for Sunday!The number of items sold are 666, 555, 222, and 333.

STEP 6

Adding those up, we get 6+5+2+3=166 + 5 + 2 + 3 = 166+5+2+3=16.Sweet!

STEP 7

To get the **total items** sold over the entire weekend, we **add** the totals from Saturday and Sunday.

STEP 8

That's 14+16=3014 + 16 = 3014+16=30 items in total.Fantastic!

STEP 9

There were four customers on Saturday and four customers on Sunday.

STEP 10

So, over the weekend, there were 4+4=84 + 4 = 84+4=8 customers.Right on!

STEP 11

The **mean** is the **total number of items** divided by the **total number of customers**.

STEP 12

So, the mean is 308=3.75\frac{30}{8} = 3.75830​=3.75 items per customer.Boom!

STEP 13

The mean number of items bought by each customer is 3.753.753.75.

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? Find the average number of clothes each customer bought over the weekend. Watch out! Don't just average the numbers in the table directly!
We need to consider how many customers bought each quantity of items.

1. Calculate total items sold on Saturday.
2. Calculate total items sold on Sunday.
3. Calculate total items sold over the weekend.
4. Calculate total number of customers.
5. Calculate the mean.

Let's add up the number of items bought on Saturday!
We have $4$ , $1$ , $7$ , and $2$ .

So, the total items sold on Saturday is $4 + 1 + 7 + 2 = 14$ .
Awesome!

Now, let's do the same for Sunday!
The number of items sold are $6$ , $5$ , $2$ , and $3$ .

Adding those up, we get $6 + 5 + 2 + 3 = 16$ .
Sweet!

To get the total items sold over the entire weekend, we add the totals from Saturday and Sunday.

That's $14 + 16 = 30$ items in total.
Fantastic!

So, over the weekend, there were $4 + 4 = 8$ customers.
Right on!

The mean is the total number of items divided by the total number of customers.

So, the mean is $\frac{30}{8} = 3.75$ items per customer.
Boom!

The mean number of items bought by each customer is $3.75$ .