Question

QUESTION

1. A reading program for fourth graders at Wiley Elementary School in Raleigh randomly selected 10 books from their recommended titles. The number of pages in each book is given below:

   176

   224

   175

   126

   80

   144

   194

   64

   198

   177

   What is the mean number of pages in these books?

QUESTION

1. A reading program for fourth graders at Wiley Elementary School in Raleigh randomly selected 10 books from their recommended titles. The number of pages in each book is given below:

   176

   224

   175

   126

   80

   144

   194

   64

   198

   177

   What is the median number of pages in these books?

QUESTION

1. A reading program for fourth graders at Wiley Elementary School in Raleigh randomly selected 10 books from their recommended titles. The number of pages in each book is given below:

   176

   224

   175

   126

   80

   144

   194

   64

   198

   177

   What is the mode of the number of pages in these books? If there is one mode, enter the number. If there is more than one, enter them as a comma separated list. If there is no mode, write none.

QUESTION

1. A reading program for fourth graders at Wiley Elementary School in Raleigh randomly selected 10 books from their recommended titles. The number of pages in each book is given below:

   176

   224

   175

   126

   80

   144

   194

   64

   198

   177

   What is the range of the number of pages in these books?

Please, show me your all works. Thanks.

Answer 1

Solution:- Given that samples 176,224,175,126,80,144,194,64,198,177

a) The mean number = 155.8
mean = sum of terms/number of terms
= 1558/10
= 155.8

b) Median = 175.5

Explanation

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

64 80 126 144 175 176 177 194 198 224   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Median = (175+176)/2 = 175.5

c) Mode = no mode

Explanation

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

64 80 126 144 175 176 177 194 198 224   

Since each value occurs only once, there is no mode for this data set.

d) Range = 160

Explanation

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

64 80 126 144 175 176 177 194 198 224   

The lowest value is 64.

The highest value is 224.

The range = 224 - 64 = 160.