Q. 94.7( 42 Votes )

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Answer :

Here,


According to the question,


At first,


We will arrange the data in the ascending order


Thus,


The heights of the ten girls can be arranged in an ascending order as follows:


128, 132, 135, 139, 141, 143, 146, 149, 150, 151


(i) Now,


As per the question,


Here,


We have to find the height of tallest girl mentioned in the data.


Hence,


Height of the tallest girl = 151 cm


(ii) Now,


As per the question,


Here,


We have to find the height of smallest girl mentioned in the data.


Hence,


Height of the smallest girl = 128 cm


(iii) Now,


We have to find the range of the given data.


And,


We know that,


Highest height of girl = 151mm


Smallest height of girl = 128mm


Thus,


Range = Highest value – Lowest value


Hence,


Range of the given data can be calculated as follows:


Range = highest height – Smallest height


= 151 – 128


= 23 cm


(iv) Here,


We have to find the mean height of the girls


Now,


At first,


We’ll find the sum of all the observations


Thus,


Sum of all the observations = 135 + 150 + 139 + 128 + 151 + 132 + 146 + 149 + 143 + 141


= 1414


Now,


Total number of observations = 10


Hence,


Mean height =


=


= 141.4 cm


(v) Here,


As per the question,


We have to find that,


The number of girls whose heights were greater than the mean height


Hence,


We can observe that,


There were total five girls whose heights were greater than the mean height


Now,


These heights are as follows:


143, 146, 149, 150, and 151 cm


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