Question

3. the stem-and-leaf plot shows the cost of lamps at a department store.



(a) what is the median cost?
(b) is there a mode? if so, what is it?
(c) what is the difference between the most expensive and least expensive lamps?
(d) how many lamps cost more than $20 but less than $40?
(e) what is the ratio of lamps that cost less than $40 to lamps that cost more than $40? write the ratio in simplest form.

Answer 1

Answer:

I don't know F but if y'all do let me now.

Step-by-step explanation:

(b) the price in the very middle of a data set, with exactly half of the houses priced for less and half priced for more.

(c) The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.

(d) The two biggest things that come to mind right away is how is it going to be used and who is going to be using it? While we would all love to get the highest quality that’s just not always possible. So, that’s a good starting point for me is considering the answer to those two questions.

(e) Price and other details may vary based on product size and color.

Answer 2

The difference between the most and least expensive lamps represented on the stem and leaf plot is 66.

The median cost

The stem and leaf plot that completes the question is added as an attachment.

The median cost is the leaf element at the middle.

The plot has 18 leaves.

So, the median position is:

Median = (18 + 1)/2 = 9.5th

This means that the median is the mean of the 9th and the 10th items.

So, we have:

Median = (58 + 58)/2

Median = 58

Hence, the median cost is $58

The modal cost

This is the element with the highest frequency in the plot.

From the attached plot 65 has the highest frequency of 3

Hence, the modal cost is 65

The difference between the most and least expensive lamps

From the plot, we have:

Most expensive = 78

Least expensive = 12

The difference (d) is:

d = 78 - 12

d = 66

Hence, the difference between the most and least expensive lamps is 66.

Number of lamps that cost more than $20 but less than $40

This means that we check the items in the range 20 to 40 (exclusive)

The elements in this range are:

25, 28, 30, 32 and  34

Hence, 5 lamps that cost more than $20 but less than $40

Ratio of lamps that cost less than $40 to more than $40

From the plot, we have:

Less than $40 =  6

More than $40 =  12

The ratio is represented as:

Ratio = 6 : 12

Simplify

Ratio = 1 : 2

Hence, the ratio of lamps that cost less than $40 to more than $40 is 1 : 2

Read more about stem and leaf plots at:

https://brainly.com/question/12276901

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