Multiple choice

The table shows the heights of 100 students. Find the modal height.

           
Height (cm) 155-160 160-165 165-170 170-175 175-180 Total
No. of students 22 36 23 11 8 100

  1. 160 cm

  2. 162.5 cm

  3. 162.6 cm

  4. 165 cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The modal class is 160 cm - 165 cm. Mode = l + ((f1 - f0) / (2f1 - f0 - f2)) x h l = 160 cm, f0 = 22, f1 = 36 , f1 = 36, f2 = 23, h = 5 cm. Plugging in the values in the formula for the mode, we get mode = 162.593 = 162.60 cm.

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