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The data below represents students’ test scores. Which of the following is the median of the set data? 24, 35, 18, 19, 22, 35, 16, 12, 26, 12, 23

A. 18

B. 22

C. 23

D. 19

Answer Explanation:

The median of a data set is found in two ways:

For an odd data set, the median fall in the (N+1)/2 th position.

For an even data set, the median is the average of the element in the (N/2)th and (N+1)/2 th positions.  

To find the median of the given data set, we need to arrange the elements from the smallest to the largest as follows:

12, 12, 16, 18, 19, 22, 23, 24, 26, 35, 35

There are 11 elements in the data set. 11 is an odd number and the median fall in the (N+1)/2 th position.

Median =(11+1)/2=12/2=6 th position.

From the organized data, the element in the 6th position is 22, which is the required median for the data set.

Therefore, the Correct Answer is B.

More Questions on TEAS 7 Math

  • Q #1: As a person climbing a mountain increases walking speed, the rate of calories burned, height traveled, and energy expended also increase. Which of the following is the independent variable?

    A. Walking speed

    B. Energy

    C. Calories

    D. Height

    Answer Explanation

    An independent variable is a change that when modified brings a change in other variables. In this case, the person increases his climbing rate, calories burned, distance traveled and energy used increases. Therefore, the walking speed is the independent variable while other variables are dependent.

  • Q #2: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 13 feet and a hypotenuse of 25 feet? (Round to the nearest tenth.)

    A. 32 feet

    B. 8 feet

    C. 21.4 feet

    D. 24 feet

    Answer Explanation

    From the given data, we can draw the following triangle by letting the unknown length to be p.

    We apply the Pythagoras theorem, the value of p:

    The unknown length of the triangle is about 21.4 feet.

  • Q #3: The scatter plot below shows the relationship between the number of hours a student plays golf and the student’s class attendance. Which of the following types of correlation is shown on the scatter plot?

    A. Positive

    B. Positive and negative

    C. No correlation

    D. Negative

    Answer Explanation

    Scatter plots can depict three correlations: positive, negative and no correlation. A positive correlation scatter plot reveals that as one variable increases, the other variable also increases as shown below