The mathematics department at a Canadian university collected data for the number of students enrolled in 40 math courses over the course of one year.The following stem-and-leaf display shows the total number of students enrolled in each class. Class Size Totals 12
11
10
9
8
7
6
5
4
3 $2334524683568225884682235933892336666789\begin{array} { l } \begin{array} { l } 233 \\45\\2468 \\\end{array} \\\begin{array} { l } 3568 \\22588 \\468\end{array} \\\begin{array} { l } 22359 \\\end{array} \\\begin{array} { l } 3389 \\23366\\66789 \\\end{array} \\\end{array}$ Key:
10 $∣ 6$ = 106 students

A) The distribution of the number of students enrolled in each of 40 math courses is skewed to the left,with a typical class size of 89 students.The smallest class size was 36 and the largest was 123.
B) The distribution of the number of students enrolled in each of 40 math courses is unimodal and symmetric.The smallest class size was 36 and the largest was 123.The centre of the distribution was around 75 students.
C) The distribution of the number of students enrolled in each of 40 math courses is nearly uniform.The smallest class size was 36 and the largest was 123.The centre of the distribution was around 89 students.
D) The distribution of the number of students enrolled in each of 40 math courses is nearly uniform.The smallest class size was 36 and the largest was 123.The centre of the distribution was around 75 students.
E) The distribution of the number of students enrolled in each of 40 math courses is skewed to the right,with a typical class size of 69 students.The smallest class size was 36 and the largest was 123.

Question

The mathematics department at a Canadian university collected data for the number of students enrolled in 40 math courses over the course of one year.The following stem-and-leaf display shows the total number of students enrolled in each class. Class Size Totals 12
11
10
9
8
7
6
5
4
3

2334524683568225884682235933892336666789\begin{array} { l } \begin{array} { l } 233 \\45\\2468 \\\end{array} \\\begin{array} { l } 3568 \\22588 \\468\end{array} \\\begin{array} { l } 22359 \\\end{array} \\\begin{array} { l } 3389 \\23366\\66789 \\\end{array} \\\end{array}

Key:
10

∣ 6

= 106 students

A) The distribution of the number of students enrolled in each of 40 math courses is skewed to the left,with a typical class size of 89 students.The smallest class size was 36 and the largest was 123.
B) The distribution of the number of students enrolled in each of 40 math courses is unimodal and symmetric.The smallest class size was 36 and the largest was 123.The centre of the distribution was around 75 students.
C) The distribution of the number of students enrolled in each of 40 math courses is nearly uniform.The smallest class size was 36 and the largest was 123.The centre of the distribution was around 89 students.
D) The distribution of the number of students enrolled in each of 40 math courses is nearly uniform.The smallest class size was 36 and the largest was 123.The centre of the distribution was around 75 students.
E) The distribution of the number of students enrolled in each of 40 math courses is skewed to the right,with a typical class size of 69 students.The smallest class size was 36 and the largest was 123.

Simon Ndungu · Accepted Answer

Final Answer : D, Explanation :  The stem-and-leaf display indicates that the distribution is nearly uniform, since there is a similar frequency of values across different class sizes. The smallest and largest class sizes are provided as 36 and 123, respectively. The typical class size is given as 89, which may be interpreted as the median of the distribution. There is no indication of skewness or symmetry. Therefore, the most appropriate choice is option D.

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