ISEE Middle Level Math : Data Analysis

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #561 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Find the mean for this set of numbers:

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

Possible Answers:

\(\displaystyle 6435\)

\(\displaystyle 6430\)

\(\displaystyle 6450\)

\(\displaystyle 6438\)

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 #1 : 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:

\(\displaystyle 3000\)

\(\displaystyle 1600\)

\(\displaystyle 4800\)

\(\displaystyle 1200\)

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 : How To 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:

\(\displaystyle 10\)

\(\displaystyle 30\)

\(\displaystyle 13\)

\(\displaystyle 3\)

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 #21 : How To Find Mean

Find the average of these amounts:

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

Possible Answers:

\(\displaystyle 41.31\)

\(\displaystyle 47.88\)

\(\displaystyle 181.24\)

\(\displaystyle 45.31\)

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 #81 : Data Analysis And Probability

Find the mean of this set of numbers:

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

Possible Answers:

\(\displaystyle 5745\)

\(\displaystyle 5885\)

\(\displaystyle 327\)

\(\displaystyle 5858\)

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 #21 : Mean

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

Possible Answers:

\(\displaystyle 226\)

\(\displaystyle 228\)

\(\displaystyle 215\)

\(\displaystyle 227\)

\(\displaystyle 238\)

Correct answer:

\(\displaystyle 227\)

Explanation:

Add the numbers, and divide by 5:

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

Example Question #261 : Data Analysis

Mason went on a road trip Saturday-Monday. Each day he travelled 76 miles, 89 miles and 72 miles. What was the average number of miles Mason travelled each day?

Possible Answers:

\(\displaystyle 79\)

\(\displaystyle 72\)

\(\displaystyle 75\)

\(\displaystyle 76\)

Correct answer:

\(\displaystyle 79\)

Explanation:

First, add all the miles travelled:

\(\displaystyle 76+89+72=237\)

Then, divide by 3:

\(\displaystyle 237\div 3=79\)

Answer: On average, Mason travelled 79 miles a day.

Example Question #15 : How To Find Mean

Patricia bought three candles for her home. The candles cost $2.78, $3.68, $1.58, respectively. What was the average price of the candles that Patricia bought?

 

Possible Answers:

\(\displaystyle \$3.00\)

\(\displaystyle \$1.50\)

\(\displaystyle \$2.78\)

\(\displaystyle \$2.68\)

Correct answer:

\(\displaystyle \$2.68\)

Explanation:

First, add all the prices:

\(\displaystyle 2.78+3.68+1.58=8.04\)

Then, divide that amount by 3:

\(\displaystyle 8.04\div 3=2.68\)

Answer: The average price of a candle is $2.68

Example Question #31 : How To Find Mean

Find the mean in this set of numbers:

9078, 9008, 9800, 9099, 9009, 9090, 9008

Possible Answers:

\(\displaystyle 9156\)

\(\displaystyle 9800\)

\(\displaystyle 9009\)

\(\displaystyle 9099\)

Correct answer:

\(\displaystyle 9156\)

Explanation:

First add all the numbers:

\(\displaystyle 9078+9008+9800+9099+9009+9090+9008=64,092\)

Then, divide that number by 7:

\(\displaystyle 64,092\div 7=9156\)

Answer: The mean is 9156

Example Question #32 : How To Find Mean

Elizabeth went food shopping today. She spent $32.78, $21.63 and $19.39 at each supermarket. How much did Elizabeth spend, on average, at each supermarket?

Possible Answers:

\(\displaystyle \$24.60\)

\(\displaystyle \$13.39\)

\(\displaystyle \$21.63\)

\(\displaystyle \$73.80\)

Correct answer:

\(\displaystyle \$24.60\)

Explanation:

First, add the amounts Elizabeth spent at each supermarket:

\(\displaystyle 32.78+21.63+19.39=73.80\)

Then divide by 3 (the number of supermarkets she went to):

\(\displaystyle 73.80 \div 3=24.60\)

Answer: On average, Elizabeth spent $24.60 at each supermarket.

Learning Tools by Varsity Tutors