Question

ms. clark gave her students a biology test last week. here are the test scores for each of the sixteen students. test scores: 89 79 74 80 78 84 86 82 90 83 77 74 73 85 81 78 (a) complete the grouped frequency - distribution for the data. (note that the class width is 4.) test scores frequency 72 to 75 76 to 79 80 to 83 84 to 87 88 to 91 (b) construct a histogram for the data. frequency 5 4 3 2 1 0 72 to 75 76 to 79 80 to 83 84 to 87 88 to 91 test scores

Explanation:

Step1: Count scores in 72 - 75

The scores in the range 72 - 75 are 74, 74, 73. So the frequency is 3.

Step2: Count scores in 76 - 79

The scores in the range 76 - 79 are 79, 78, 77, 78. So the frequency is 4.

Step3: Count scores in 80 - 83

The scores in the range 80 - 83 are 80, 82, 83, 81. So the frequency is 4.

Step4: Count scores in 84 - 87

The scores in the range 84 - 87 are 84, 86, 85. So the frequency is 3.

Step5: Count scores in 88 - 91

The scores in the range 88 - 91 are 89, 90. So the frequency is 2.

Answer:

Test scores	Frequency
76 to 79	4
80 to 83	4
84 to 87	3
88 to 91	2

For part (b), to construct the histogram:

• For the interval 72 - 75, draw a bar with height 3.
• For the interval 76 - 79, draw a bar with height 4.
• For the interval 80 - 83, draw a bar with height 4.
• For the interval 84 - 87, draw a bar with height 3.
• For the interval 88 - 91, draw a bar with height 2.

The x - axis is labeled "Test scores" and the y - axis is labeled "Frequency".