Answer :
To determine the number of students out of 240 who had a score of 130 or less given the five-number summary, we need to consider what the third quartile (Q3) represents.
1. Understanding Q3: The third quartile (Q3) is the score below which 75% of the data falls. In other words, Q3 represents the 75th percentile.
2. Interpreting Q3: In this case, Q3 value is given as 130. This means that 75% of the students scored 130 or less on the certification test.
3. Calculate the number of students: To find how many students scored 130 or less, we calculate 75% of 240.
[tex]\[ \text{Number of students who scored 130 or less} = 0.75 \times 240 \][/tex]
4. Perform the multiplication:
[tex]\[ 0.75 \times 240 = 180 \][/tex]
Therefore, about 180 students had a score of 130 or less.
1. Understanding Q3: The third quartile (Q3) is the score below which 75% of the data falls. In other words, Q3 represents the 75th percentile.
2. Interpreting Q3: In this case, Q3 value is given as 130. This means that 75% of the students scored 130 or less on the certification test.
3. Calculate the number of students: To find how many students scored 130 or less, we calculate 75% of 240.
[tex]\[ \text{Number of students who scored 130 or less} = 0.75 \times 240 \][/tex]
4. Perform the multiplication:
[tex]\[ 0.75 \times 240 = 180 \][/tex]
Therefore, about 180 students had a score of 130 or less.