The heights of 10 girls were measured in cm and he results are as follows:

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

(i) What is the height of the tallest girl?

(ii) What is the height of the shortest girl?

(iii) What is the range of the data?

(iv) What is the mean height of the girls?

(v) How many girls have heights more than the mean height?

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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