Pall cid The Zoevend Stand sels roe related souvenirs. Use the stem-and heaf plot to answer 14 and 15 Dally Zoo-venir Stand Sales for One Month (\$) 1 12234467779999 2134479 3223568 4011223 Kej $$ 112=51200 $$ 14. Interprest the mean of the Zoo verilr Stand sales. Relert the contert dinice below, and fili in the answer bex to complete your choice. (Round te the nearest dollar as needed. Do not include the $$ \$ $$ symbal in your answer.) A. II mears the dally sales amount that occurred the most frequently. The mean is $$ s $$ $$ \square $$ B. If momn the tef-rence betroen the higheef and lowest dath sale amounts during the month. The mean is $$ \$ $$ $$ \square $$ . C. It means the average daly sales amount per month. The mean is $$ \$ $$ $$ \square $$ D. If moens the cost where half of the dally sales amounts are less and the other hall are more. The mean is $$ \$ $$ $$ \square $$

Question

UpStudy AI · Accepted Answer

**Step 1. Interpret the Stem‐and‐Leaf Plot**

The plot is read as follows. For example, the first row  
  1 | 1 2 2 3 4 4 6 7 7 7 9 9 9 9  
represents the data values  
  $$11,\, 12,\, 12,\, 13,\, 14,\, 14,\, 16,\, 17,\, 17,\, 17,\, 19,\, 19,\, 19,$$ and $$19$$.

The complete plot is:

- Stem 1: Leaves: $$1,2,2,3,4,4,6,7,7,7,9,9,9,9$$  
  Data: $$11,\, 12,\, 12,\, 13,\, 14,\, 14,\, 16,\, 17,\, 17,\, 17,\, 19,\, 19,\, 19,\, 19$$
- Stem 2: Leaves: $$1,3,4,4,7,9$$  
  Data: $$21,\, 23,\, 24,\, 24,\, 27,\, 29$$
- Stem 3: Leaves: $$2,2,3,5,6,8$$  
  Data: $$32,\, 32,\, 33,\, 35,\, 36,\, 38$$
- Stem 4: Leaves: $$0,1,1,2,2,3$$  
  Data: $$40,\, 41,\, 41,\, 42,\, 42,\, 43$$

**Step 2. Determine the Total Number of Data Values**

- Stem 1: $$14$$ values  
- Stem 2: $$6$$ values  
- Stem 3: $$6$$ values  
- Stem 4: $$6$$ values

Total count: $$14+6+6+6=32$$.

**Step 3. Compute the Sum of the Data**

For stem 1 (values):  
$$
11+12+12+13+14+14+16+17+17+17+19+19+19+19=219
$$

For stem 2 (values):  
$$
21+23+24+24+27+29=148
$$

For stem 3 (values):  
$$
32+32+33+35+36+38=206
$$

For stem 4 (values):  
$$
40+41+41+42+42+43=249
$$

Total sum:  
$$
219+148+206+249=822
$$

**Step 4. Calculate the Mean**

The mean is the average daily sales amount. Compute the mean:
$$
\text{Mean} = \frac{822}{32} \approx 25.6875
$$
Rounding to the nearest dollar gives:  
$$
26
$$

**Step 5. Select the Correct Interpretation**

Choice C states:  
"It means the average daily sales amount per month. The mean is $$ \$$$ $$\square$$."

Filling in the computed mean:
$$
26
$$

Thus, the correct interpretation is Choice C with a mean of $$26$$.
The mean of the Zoo-venir Stand sales is \$26.

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