csat-suneung 2009 Q26b

csat-suneung · South-Korea · csat__math-science 3 marks Measures of Location and Spread
(Probability and Statistics) A certain basketball player practices free throws 40 times every day. The stem-and-leaf plot below shows the number of successful free throws each day for the first 10 days, with the tens digit as the stem and the units digit as the leaf. On the 11th day, the number of successful free throws was $n$, and the average number of successful free throws for the first 11 days was equal to the mode in the stem-and-leaf plot below. What is the value of $n$? [3 points]
Stem\multicolumn{4}{|c|}{Leaf}
09
179
21446
3013

(1) 24
(2) 26
(3) 28
(4) 30
(5) 32
(Probability and Statistics) A certain basketball player practices free throws 40 times every day. The stem-and-leaf plot below shows the number of successful free throws each day for the first 10 days, with the tens digit as the stem and the units digit as the leaf. On the 11th day, the number of successful free throws was $n$, and the average number of successful free throws for the first 11 days was equal to the mode in the stem-and-leaf plot below. What is the value of $n$? [3 points]

\begin{center}
\begin{tabular}{ | c | c c c c | }
\hline
Stem & \multicolumn{4}{|c|}{Leaf} \\
\hline
0 & 9 &  &  &  \\
\hline
1 & 7 & 9 &  &  \\
\hline
2 & 1 & 4 & 4 & 6 \\
\hline
3 & 0 & 1 & 3 &  \\
\hline
\end{tabular}
\end{center}

(1) 24\\
(2) 26\\
(3) 28\\
(4) 30\\
(5) 32