Question

assume that the following data represent baseball batting averages for a random sample of national league players near the end of the baseball season. multiply each data value by 1000 to \clear\ the decimals.

0.193 0.258 0.154 0.293 0.159 0.297 0.261 0.251 0.182
0.125 0.106 0.260 0.306 0.306 0.279 0.289 0.319 0.253
0.215 0.251 0.247 0.260 0.265 0.183 0.113 0.201

Explanation:

To solve this, we multiply each batting average (a decimal number) by 1000. Let's take each data point and perform the multiplication:

Step 1: Multiply the first set of numbers

• For \( 0.193 \): \( 0.193\times1000 = 193 \)
• For \( 0.258 \): \( 0.258\times1000 = 258 \)
• For \( 0.154 \): \( 0.154\times1000 = 154 \)
• For \( 0.293 \): \( 0.293\times1000 = 293 \)
• For \( 0.159 \): \( 0.159\times1000 = 159 \)
• For \( 0.297 \): \( 0.297\times1000 = 297 \)
• For \( 0.261 \): \( 0.261\times1000 = 261 \)
• For \( 0.251 \): \( 0.251\times1000 = 251 \)
• For \( 0.182 \): \( 0.182\times1000 = 182 \)

Step 2: Multiply the second set of numbers

• For \( 0.125 \): \( 0.125\times1000 = 125 \)
• For \( 0.106 \): \( 0.106\times1000 = 106 \)
• For \( 0.260 \): \( 0.260\times1000 = 260 \)
• For \( 0.306 \): \( 0.306\times1000 = 306 \) (and again for the next \( 0.306 \): \( 0.306\times1000 = 306 \))
• For \( 0.279 \): \( 0.279\times1000 = 279 \)
• For \( 0.289 \): \( 0.289\times1000 = 289 \)
• For \( 0.319 \): \( 0.319\times1000 = 319 \)
• For \( 0.253 \): \( 0.253\times1000 = 253 \)

Step 3: Multiply the third set of numbers

• For \( 0.215 \): \( 0.215\times1000 = 215 \)
• For \( 0.251 \): \( 0.251\times1000 = 251 \) (again)
• For \( 0.247 \): \( 0.247\times1000 = 247 \)
• For \( 0.260 \): \( 0.260\times1000 = 260 \) (again)
• For \( 0.265 \): \( 0.265\times1000 = 265 \)
• For \( 0.183 \): \( 0.183\times1000 = 183 \)
• For \( 0.113 \): \( 0.113\times1000 = 113 \)
• For \( 0.201 \): \( 0.201\times1000 = 201 \)

Answer:

The data values after multiplying by 1000 are:
193, 258, 154, 293, 159, 297, 261, 251, 182,
125, 106, 260, 306, 306, 279, 289, 319, 253,
215, 251, 247, 260, 265, 183, 113, 201