Question

The height of 50 boys was measured and recorded and shown : height (in cm ) 135 140 145 150 155 160 no. of children 4 11 15 13 6 1 find the mean hieght​

Answer 1

Answer:

Height (in cm) Frequency

150−155 12

155−160 9

160−165 14

165−170 10

170−175 5

Total 50

(i) The above table is the grouped frequency distribution.

(ii) Students with 160−165cm heights are maximum i.e. 14 students.

Step-by-step explanation:

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Answer 2

Answer:

The mean height of boys is 143.9 cm

Step-by-step explanation:

The height of 50 boys are given in the frequency table

To find: mean height of boys

x is the measured height, f is the number of boys with the specific height, fx is the product of measured height and number of boys

x          f          fx

135     4          540

140     11         1540

145     15        2175

150     13        1950

155      6         930

160       1         60

           50        7195

Summation f = 50 and summation fx = 7195

$mean = \frac{ \sigma\ fixi}{ \sigma\ fi}$

mean = $\frac{7195}{50}$

Mean = 143.9

Thus, the mean height of boys is 143.9 cm