Statistics basics. Game on.

Statistics basics is a grade 9 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 25 statistics basics problems our math games drill.

CCSS HSS.ID.A.225 questions in the bank
Kickoff

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Warm-upeasy

Find the mean of 4,7,104, 7, 10.

Mean =4+7+103=213=7= \dfrac{4 + 7 + 10}{3} = \dfrac{21}{3} = 7.

Mid-gameeasy

Find the median of 3,7,93, 7, 9.

When ordered least to greatest: 3,7,93, 7, 9. The middle value is 77.

Mid-gameeasy

What is the mode of 2,2,6,8,92, 2, 6, 8, 9?

The mode is the most frequent value; 22 appears twice while every other value appears once.

Mid-gameeasy

Find the range of 12,7,15,3,912, 7, 15, 3, 9.

Range == maximum โˆ’- minimum =15โˆ’3=12= 15 - 3 = 12.

Mid-gameeasy

A runner logged the miles she ran on seven consecutive days: 3,5,4,6,5,7,53, 5, 4, 6, 5, 7, 5. What is the mean number of miles per day?

Mean =3+5+4+6+5+7+57=357=5= \dfrac{3 + 5 + 4 + 6 + 5 + 7 + 5}{7} = \dfrac{35}{7} = 5 miles per day.

Mid-gameeasy

Find the mean of 5,10,155, 10, 15.

Mean =5+10+153=303=10= \dfrac{5 + 10 + 15}{3} = \dfrac{30}{3} = 10.

Mid-gameeasy

Find the median of 12,5,812, 5, 8.

When ordered least to greatest: 5,8,125, 8, 12. The middle value is 88.

Buzzer beatereasy

A coach records the goals her team scored in seven games: 1,3,2,3,0,3,21, 3, 2, 3, 0, 3, 2. What is the mode of the data?

The value 33 appears three times, more often than any other value, so the mode is 33.

Overtime

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