Can u please help me, thank you, if you get it correct i will mark u as the brainiest. Both please thank you
Answers
Answer:
(a) Modal number of peas in a pod is nothing.
(b) Median of peas in a pod is 6.
(c) Mean number 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.}(
2
n+1
)
th
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}
2
(
2
n
)
th
obs.+(
2
n
+1)
th
obs.
Here, number of observation is odd, i.e. n = 5.
So, Median = (\frac{n+1}{2})^{th} \text{ obs.}(
2
n+1
)
th
obs.
= (\frac{5+1}{2})^{th} \text{ obs.}(
2
5+1
)
th
obs.
= (\frac{6}{2})^{th} \text{ obs.}(
2
6
)
th
obs.
= 3^{rd} \text { obs.}3
rd
obs. = 6
Hence, the median of peas in a pod is 6.
(c) The formula for calculating mean is given by;
Mean (\bar X
X
ˉ
) = \frac{\sum X}{n}
n
∑X
= \frac{4+5+6+7+8}{5}
5
4+5+6+7+8
= \frac{30}{5}
5
30
= 6
SO, the mean number of peas in a pod is 6.