Please answer the questions in the picture and on text. It is one whole question

Question

Please answer the questions in the picture and on text. It is one whole question. Thank you. Find the first quartile, media, third quartile? What percent of the students owned at least five pairs? Find the 40th and 90th quartile?
students were asked the number of pairs of sneakers they 4 13 5 13 Find the sample mean . (Round your anower to two decimal places) Fndthe sample sandard devanon, (Rand you arww to two deonal Part Construct a histogram of the dara Frequency Numberof sneakers Number of sneaker Prequresy Namber of sneakers Parted, X Frequency Relative Frequency cwulative Relative Frequency

Explanation / Answer

sample mean xbar= (sum of observations/no of observations) = 6.5

sample standard deviation = 5.31

Quartile Q1: 2
Quartile Q2: 5
Quartile Q3: 13

The percent of the students owned at least five pairs is 80%

explanation:

Now, calculate index

i=p100*n=80100*6=4.8

4.8(5) pairs.

40 th percentile:

the ascending order is : 1,2,4,6,13,13.

Since there are 6 values, then n=6.

calculate index i=p/100* n = 40/100 *6 = 2.4 (3)

the 3rd order value is 4

therefore 40th percentile is 4

90th percentile :

calculate index i=p/100* n = 90/100 *6 = 5.4 (6)

90th percentile is 13.

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