Comparing medians. Game on.

Comparing medians is a grade 7 math skill aligned to Common Core standard HSS.ID.A.2: use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 comparing medians problems our math games drill.

CCSS HSS.ID.A.210 questions in the bank
Kickoff

8 plays. No signup.

Warm-upeasy

Five quiz scores are 92,92\textsf{,} 68,68\textsf{,} 75,75\textsf{,} 88,88\textsf{,} and 77.77\textsf{.} Which data set has the same median?

In order, the original values have middle value 7777, so the median is 7777. The set 70,70\textsf{,} 73,73\textsf{,} 77,77\textsf{,} 91,91\textsf{,} 9797 also has median 7777, so the medians match.

Mid-gameeasy

The practice times, in minutes, for five days are 35,35\textsf{,} 15,15\textsf{,} 20,20\textsf{,} 40,40\textsf{,} and 25.25\textsf{.} Which data set has the same median?

In order, the original values have middle value 2525, so the median is 2525. The set 17,17\textsf{,} 23,23\textsf{,} 25,25\textsf{,} 40,40\textsf{,} 4848 also has median 2525, so the medians match.

Mid-gameeasy

Five afternoon temperatures, in degrees Fahrenheit, are 64,64\textsf{,} 78,78\textsf{,} 72,72\textsf{,} 60,60\textsf{,} and 66.66\textsf{.} Which data set has the same median?

In order, the original values have middle value 6666, so the median is 6666. The set 61,61\textsf{,} 65,65\textsf{,} 66,66\textsf{,} 77,77\textsf{,} 8181 also has median 6666, so the medians match.

Mid-gameeasy

The distances, in miles, run on seven days are 14,14\textsf{,} 6,6\textsf{,} 20,20\textsf{,} 9,9\textsf{,} 11,11\textsf{,} 18,18\textsf{,} and 6.6\textsf{.} Which data set has the same median?

In order, the original values have middle value 1111, so the median is 1111. The set 4,4\textsf{,} 5,5\textsf{,} 8,8\textsf{,} 11,11\textsf{,} 22,22\textsf{,} 25,25\textsf{,} 2828 also has median 1111, so the medians match.

Mid-gameeasy

Seven game scores are 90,90\textsf{,} 70,70\textsf{,} 82,82\textsf{,} 75,75\textsf{,} 95,95\textsf{,} 60,60\textsf{,} and 88.88\textsf{.} Which data set has the same median?

In order, the original values have middle value 8282, so the median is 8282. The set 63,63\textsf{,} 65,65\textsf{,} 72,72\textsf{,} 82,82\textsf{,} 88,88\textsf{,} 88,88\textsf{,} 9999 also has median 8282, so the medians match.

Mid-gameeasy

The ages, in years, of seven students are 12,12\textsf{,} 7,7\textsf{,} 15,15\textsf{,} 9,9\textsf{,} 18,18\textsf{,} 10,10\textsf{,} and 20.20\textsf{.} Which data set has the same median?

In order, the original values have middle value 1212, so the median is 1212. The set 5,5\textsf{,} 8,8\textsf{,} 10,10\textsf{,} 12,12\textsf{,} 19,19\textsf{,} 23,23\textsf{,} 2727 also has median 1212, so the medians match.

Mid-gameeasy

Seven test scores are 90,90\textsf{,} 50,50\textsf{,} 80,80\textsf{,} 55,55\textsf{,} 72,72\textsf{,} 60,60\textsf{,} and 83.83\textsf{.} Which data set has the same median?

In order, the original values have middle value 7272, so the median is 7272. The set 49,49\textsf{,} 54,54\textsf{,} 70,70\textsf{,} 72,72\textsf{,} 96,96\textsf{,} 97,97\textsf{,} 9898 also has median 7272, so the medians match.

Buzzer beatereasy

Seven morning temperatures, in degrees Fahrenheit, are 58,58\textsf{,} 80,80\textsf{,} 70,70\textsf{,} 62,62\textsf{,} 72,72\textsf{,} 64,64\textsf{,} and 56.56\textsf{.} Which data set has the same median?

In order, the original values have middle value 6464, so the median is 6464. The set 54,54\textsf{,} 58,58\textsf{,} 62,62\textsf{,} 64,64\textsf{,} 76,76\textsf{,} 78,78\textsf{,} 8686 also has median 6464, so the medians match.

Overtime

2 more. Played, not assigned.

The rest of the bank lives inside live head-to-head matches — the placement test finds the right starting difficulty.

Blaster Gate gameBlitz Tanks game

Drill it inside a game.

The free placement test finds your level, then every match serves comparing medians questions at exactly the right difficulty.