Question

a persons hat slar is based on the distance around the persons head. the data show this distance, in centimeters, of the last 50 customers who bought hats in a hat store.

a. based on this data set, which size hat should the store stock in the greatest number? show your work.

b. check your answer to problem 3a. show your work.

Explanation:

Step1: Count the number of customers in each size range

• Small (54 - 55 cm):

Count the number of values in the range \(54 - 55\). There are \(54,54,54,54,54,55,55,55,55,55,55\). The number of values \(n_{small}=11\).

• Medium (56 - 57 cm):

Count the number of values in the range \(56 - 57\). There are \(56,56,56,56,57,57,57,57,57,57,57,57\). The number of values \(n_{medium}=12\).

• Large (58 - 59 cm):

Count the number of values in the range \(58 - 59\). There are \(58,58,58,58,58,58,58,59,59,59,59,59\). The number of values \(n_{large}=12\).

• Extra - large (60 - 61 cm):

Count the number of values in the range \(60 - 61\). There are \(60,60,61,61,61\). The number of values \(n_{extra - large}=5\).

Step2: Compare the counts

We have \(n_{small} = 11\), \(n_{medium}=12\), \(n_{large}=12\), \(n_{extra - large}=5\). Since \(n_{medium}=n_{large}>n_{small}>n_{extra - large}\)

Answer:

The store should stock medium and large hats in the greatest number.