Grade 9 · Statistics & probability

Find score from mean practice

Find score from mean 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 10 find score from mean problems our math games drill.

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

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Question 1easy

A swimmer logged 2020, 2424, 1818, 2222, and 2626 laps on five days of practice. On a sixth day, she swam xx laps. The mean number of laps per day over all six days is 2323. What is the value of xx?

Six days with a mean of 2323 laps total 6×23=1386 \times 23 = 138. Since 20+24+18+22+26=11020 + 24 + 18 + 22 + 26 = 110, x=138110=28x = 138 - 110 = 28.

Question 2easy

On four science quizzes, Priya earned scores of 8585, 9292, 7878, and 8888. On a fifth quiz, her score was xx. The mean score on all five quizzes is 8787. What is the value of xx?

Five quizzes with a mean of 8787 total 5×87=4355 \times 87 = 435. Since 85+92+78+88=34385 + 92 + 78 + 88 = 343, x=435343=92x = 435 - 343 = 92.

Question 3easy

In three bowling games, Alex rolled scores of 142142, 156156, and 138138. In a fourth game, the score was xx. The mean score over the four games is 150150. What is the value of xx?

Four games with a mean of 150150 total 4×150=6004 \times 150 = 600. Since 142+156+138=436142 + 156 + 138 = 436, x=600436=164x = 600 - 436 = 164.

Question 4easy

During a fitness challenge, four teammates completed 1515, 2020, 1818, and 2222 push-ups in the first four rounds. In the fifth round, one teammate completed xx push-ups. The mean number of push-ups per round is 1919. What is the value of xx?

Five rounds with a mean of 1919 push-ups total 5×19=955 \times 19 = 95. Since 15+20+18+22=7515 + 20 + 18 + 22 = 75, x=9575=20x = 95 - 75 = 20.

Question 5easy

A student read 3030, 4545, 3535, 4040, 5050, and 2525 pages on six days of a reading challenge. On a seventh day, she read xx pages. The mean number of pages read per day over all seven days is 3838. What is the value of xx?

Seven days with a mean of 3838 pages total 7×38=2667 \times 38 = 266. Since 30+45+35+40+50+25=22530 + 45 + 35 + 40 + 50 + 25 = 225, x=266225=41x = 266 - 225 = 41.

Question 6easy

A musician practiced piano for 4040, 5555, and 5050 minutes on three days. On a fourth day, the practice time was xx minutes. The mean practice time over the four days is 4848 minutes. What is the value of xx?

Four days with a mean of 4848 minutes total 4×48=1924 \times 48 = 192. Since 40+55+50=14540 + 55 + 50 = 145, x=192145=47x = 192 - 145 = 47.

Question 7easy

Maria earned history quiz scores of 7070, 8282, 7474, and 9090 on four quizzes. On a fifth quiz, her score was xx. The mean score on all five quizzes is 8181. What is the value of xx?

Five quizzes with a mean of 8181 total 5×81=4055 \times 81 = 405. Since 70+82+74+90=31670 + 82 + 74 + 90 = 316, x=405316=89x = 405 - 316 = 89.

Question 8easy

At trivia night, a team answered 66, 88, 77, and 99 questions correctly in the first four rounds. In the fifth round, the team answered xx questions correctly. The mean number of correct answers per round is 88. What is the value of xx?

Five rounds with a mean of 88 correct answers total 5×8=405 \times 8 = 40. Since 6+8+7+9=306 + 8 + 7 + 9 = 30, x=4030=10x = 40 - 30 = 10.

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