Mathematics, 22.05.2020 13:58 CaptainCc

Kristy counts the number of peas in a sample of pea pods
a) what was the modal number of peas in a pod
b) what was the median of peas in a pod
c) what was the mean number of peas in a pod

Kristy counts the number of peas in a sample of pea pods a) what was the modal number of peas in a

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Answer from: dedgefield

(a) Modal number of peas in a pod is nothing.

(b) Median of peas in a pod is 6.

Step-by-step explanation:

We are given the following data below;

Number of peas in a pod : 4, 5, 6, 7, 8.

(a) Mode tells us that the how many times a particular number is appearing in the data set, that means the number which appears the maximum number of times in our data is represented as mode of that data.

Now, in our data; since there is no value which is occurring maximum number of times as there is no value which is repeated, so there is no mode in our data.

The modal number of peas in a pod is nothing.

(b) For calculating median, first we have to observe that number of observations (n) in our data is even or odd, that is;

If n is odd, then the formula for calculating median is given by;

Median = $(\frac{n+1}{2})^{th} \text{ obs.}$

If n is even, then the formula for calculating median is given by;

Median = $\frac{(\frac{n}{2})^{th} \text{ obs.}+(\frac{n}{2}+1)^{th} \text{ obs.}}{2}$

Here, number of observation is odd, i.e. n = 5.

So, Median = $(\frac{n+1}{2})^{th} \text{ obs.}$

= $(\frac{5+1}{2})^{th} \text{ obs.}$

= $(\frac{6}{2})^{th} \text{ obs.}$

= $3^{rd} \text { obs.}$ = 6

Hence, the median of peas in a pod is 6.

Mean ( $\bar X$ ) = $\frac{\sum X}{n}$

= $\frac{4+5+6+7+8}{5}$

= $\frac{30}{5}$ = 6

SO, the mean number of peas in a pod is 6.

Answer from: Quest

step-by-step explanation:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since 2010 0 1 2 3 4 5

profits made in 1000's 39 84 111 120 111 84

we find that profit gradually increases form 2010 to 2013 upto 120, then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

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Kristy counts the number of peas in a sample of pea pods
a) what was the modal number of peas...

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