Question

a) What would be an advantage of grouping this data? (1 mark)

A veterinarian recorded the masses ( in grams) of kittens at birth (rounded to the nearest whole number) . The results are sorted (ascending order, left to right) in the list here. 175, 225,228,235,241,252,258,261,263,266,277,281,295,299,301,312,334

. b) What is the range for this data? *

Answer 1

A veterinarian recorded the masses in grams of kittens at birth, rounded to the nearest whole number.

The results listed are

175, 225, 228, 235, 241, 252, 258, 261, 263, 266, 277, 281, 295, 299, 301, 312, and 334.

In this problem, we note that

There are 17 different values;

So, the sample size is considerably large.

Also, the values range from 175, to 334, which is quite a large range.

So, it would be better not use all the values individually; that is why we had better group this data.

Question (b)

The range for a data set is actually defined as the difference between the maximum value of the data set, and the minimum value of the data set.

So, the range for this data set is given by

=334-175

=159

So, the range is 159.