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QUESTION IMAGE

number 4 3 2 1 0 50 - 59 60 - 69 70 - 79 80 - 89 90 - 99 grades the his…

Question

number
4
3
2
1
0
50 - 59 60 - 69 70 - 79 80 - 89 90 - 99
grades
the histogram shows that nine students had grades of 80 or higher.
the histogram shows there were 22 students in the class.
the histogram shows there were 25 students in the class.
the histogram is symmetrical.
the histogram has a peak.
the histogram shows the data is evenly distributed.
the histogram shows a gap in the data.

Explanation:

Step1: Count students with grades ≥80

Add counts for 80-89 and 90-99: $4 + 1 = 5$

Step2: Calculate total class size

Sum all grade bin counts: $2 + 4 + 4 + 4 + 1 = 15$

Step3: Check symmetry

Left side (2,4) vs right (4,1) are not mirrored.

Step4: Check for a peak

The bins 60-69,70-79,80-89 all have the highest count (4), so there is a peak (plateau peak).

Step5: Check even distribution

Counts (2,4,4,4,1) are not equal.

Step6: Check for data gaps

All consecutive grade ranges are present with non-zero counts.

Answer:

The histogram has a peak.