Question

Study the following histogram and answer the questions given below:

In the given histogram, what is the mean height of all students correct to one decimal place?

विकल्प

• 116.8 cm

• 114.7 cm

• 116.2 cm

• 115.6 cm

Answer 1

114.7 cm

Explanation:

Class- interval	Mid. Value (`x`)	Frequency (`f`)	`f.x`	Cumulative frequency
100 – 105	102.5	11	1127.5	11
105 – 110	107.5	14	1505	25
110 – 115	112.5	17	1912.5	42
115 – 120	117.5	15	1762.5	57
120 – 125	122.5	13	1592.5	70
125 – 130	127.5	10	1275	80
		`sumf` = 80	`sumf.x` = 9175

∴ Required mean = `(sumfx)/(sumf) = 9175/80` = 114.7 cm