ISEE Middle Level Quantitative : Data Analysis

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #3 : Find Mean

Find the average of this set of numbers:

2521, 2512, 2525, 2552, 2551, 2525, 2517

Possible Answers:

\(\displaystyle 2552\)

\(\displaystyle 2525\)

\(\displaystyle 40\)

\(\displaystyle 2529\)

Correct answer:

\(\displaystyle 2529\)

Explanation:

First, add all the numbers in this set:

\(\displaystyle 2521+ 2512+2525+2552+2551+2525+2517=17703\)

Then, divide by the amount of numbers in the set:

\(\displaystyle 17703\div 7=2529\)

Answer: The average is \(\displaystyle 2529.\)

 

 

Example Question #11 : Mean

In my town, a gallon of milk costs $3.21, $3.39 and $3.51 in three different stores. What is the average price of a gallon of milk in my town?

Possible Answers:

\(\displaystyle \$3.37\)

\(\displaystyle \$3.39\)

\(\displaystyle \$10.11\)

\(\displaystyle \$3.30\)

Correct answer:

\(\displaystyle \$3.37\)

Explanation:

First, add all of the prices:

\(\displaystyle 3.21+3.39+3.51=10.11\)

Then divide, that amount by 3 (number of stores in town):

\(\displaystyle 10.11\div 3=3.37\)

Answer: The average price of a gallon of milk is \(\displaystyle \$3.37.\)

Example Question #252 : Data Analysis

In my town, a gallon of gas costs $3.47, $3.79 and $3.60 in three different stations. What is the average price of a gallon of gas in my town?

Possible Answers:

\(\displaystyle \$3.79\)

\(\displaystyle \$3.60\)

\(\displaystyle \$10.86\)

\(\displaystyle \$3.62\)

\(\displaystyle \$3.47\)

Correct answer:

\(\displaystyle \$3.62\)

Explanation:

First, add all of the prices:

\(\displaystyle 3.47+3.79+3.60=10.88\)

Then, divide by 3 (total number of stations)

\(\displaystyle 10.88\div 3=3.62\)

Answer: The average price for a gallon of gas in my town is \(\displaystyle \$3.62.\)

Example Question #253 : Data Analysis

Find the mean in this set of numbers:

3343, 4434, 4334, 3343, 4343, 3434, 3334

Possible Answers:

\(\displaystyle 3795\)

\(\displaystyle 3334\)

\(\displaystyle 1100\)

\(\displaystyle 3343\)

Correct answer:

\(\displaystyle 3795\)

Explanation:

First, add all the numbers in this set:

\(\displaystyle 3343+4434+4334+3343+4343+3434+3334=26565\)

Then, divide by 7 (the amount of numbers in this set):

\(\displaystyle 26565 \div 7=3795\)

Answer: The mean is 3795

Example Question #12 : Mean

Find the mean for this set of numbers:

6366, 6336, 6366, 6633, 6333, 6363, 6669

Possible Answers:

\(\displaystyle 6435\)

\(\displaystyle 6430\)

\(\displaystyle 6438\)

\(\displaystyle 6450\)

Correct answer:

\(\displaystyle 6438\)

Explanation:

First, add all the numbers in the set:

\(\displaystyle 6366+6336+6366+6633+6333+6363+6669=45066\)

Then, divide by the total amount of numbers in the set:

\(\displaystyle 45066\div 7=6438\)

Answer: The mean is 6438

Example Question #13 : Mean

Felicia ran three races as a member of the track team. The races were 1000 meters, 2000 meters and 1800 meters, respectively. What was the average distance of the 3 races?

Possible Answers:

\(\displaystyle 1200\)

\(\displaystyle 4800\)

\(\displaystyle 1600\)

\(\displaystyle 3000\)

Correct answer:

\(\displaystyle 1600\)

Explanation:

First, add the lengths of the races:

\(\displaystyle 1000+2000+1800=4800\)

Then divide by the number of races:

\(\displaystyle 4800 \div 3=1600\)

Answer: The average race was 1600 meters.

Example Question #11 : Find Mean

Lori walks her dog for 13 minutes on Monday, 6.5 minutes on Wednesday and 10.5 on Friday. On average, how long are Lori's walks with her dog?

Possible Answers:

\(\displaystyle 30\)

\(\displaystyle 13\)

\(\displaystyle 3\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 10\)

Explanation:

First, add all the lengths of time:

\(\displaystyle 13+6.5+10.5=30\)

Then, divide by 3 (the amount of days Lori walked her dog):

\(\displaystyle 30\div 3=10\)

Answer: 10 minutes

Example Question #12 : Find Mean

Find the average of these amounts:

$34.78, $21. 69, $76.89, $47.88

Possible Answers:

\(\displaystyle 41.31\)

\(\displaystyle 181.24\)

\(\displaystyle 47.88\)

\(\displaystyle 45.31\)

Correct answer:

\(\displaystyle 45.31\)

Explanation:

First, add all the amounts:

\(\displaystyle 34.78+21.69+76.89+47.88=181.24\)

Then, divide by 4:

\(\displaystyle 181.24\div 4=45.31\)

Answer: The average is 45.31

Example Question #13 : Find Mean

Find the mean of this set of numbers:

5855, 5588, 5585, 5858, 5885, 5559, 5885

Possible Answers:

\(\displaystyle 327\)

\(\displaystyle 5885\)

\(\displaystyle 5745\)

\(\displaystyle 5858\)

Correct answer:

\(\displaystyle 5745\)

Explanation:

First, add the numbers in the set:

\(\displaystyle 5855+5588+5585+5858+5885+5559+5885=40215\)

Then, divide by the amount of numbers in the set:

\(\displaystyle 40215\div 7=5745\)

Answer: The mean is 5745.

Example Question #14 : Find Mean

Find the mean of the following set of numbers:  227, 215, 206, 238, 249

Possible Answers:

\(\displaystyle 228\)

\(\displaystyle 226\)

\(\displaystyle 215\)

\(\displaystyle 227\)

\(\displaystyle 238\)

Correct answer:

\(\displaystyle 227\)

Explanation:

Add the numbers, and divide by 5:

\(\displaystyle \frac{ 227 + 215 +206+238+ 249}{5} = \frac{1,135}{5} = 227\)

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