Mathematics, 09.04.2021 14:00 jessixa897192

The height of 44 students (in centimeter) are presented in the frequency distribution below. Complete the table, and then find the median. Height
182 - 188
175 - 181
168 - 174
161 - 167
154 - 160
147 - 153
140 - 146

Frequency
1
3
6
15
12
4
3

L

The height of 44 students (in centimeter) are presented in the frequency distribution below. Comple

Answers: 2

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Answer from: dayanirisr45

Given:

The height of 44 students (in centimeter) are presented in the given frequency distribution.

To find:

The median of the given data.

Solution:

The given intervals are inclusive first make the intervals exclusive by adding 0.5 in upper limit and by subtracting 0.5 from the lower limit.

The complete frequency distribution table is shown below:

Height Frequency L <cf

182 - 188 1 181.5 - 188.5 44

175 - 181 3 174.5 - 181.5 43

168 - 174 6 167.5 - 174.5 40

161 - 167 15 160.5 - 167.5 34 Median class

154 - 160 12 153.5 - 160.5 19

147 - 153 4 146.5 - 153.5 7

140 - 146 3 139.5 - 146.5 3

We have, n=44 .

$\dfrac{n}{2}=\dfrac{44}{2}$

$\dfrac{n}{2}=22$

The 22th term is include in the class 160.5 - 167.5 because is cf is greater than 22 but the cf of o preceding class is less than 22. So, it is the median class is 160.5 - 167.5.

Formula for median:

$Median=l+\dfrac{\dfrac{n}{2}-cf}{f}\times h$

Where, l is the lower limit of median class, cf is the cumulative frequency of preceding class, f is the frequency of median class and h is the size of the class.

Now, l=160.5,f=15,cf=19,h=7 .

$Median=160.5+\dfrac{22-19}{15}\times 7$

$Median=160.5+\dfrac{3}{15}\times 7$

Median=160.5+1.4

Median=161.9

Therefore, the median of the given data table is 161.9.

Answer from: Quest

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

Answer from: Quest

step-by-step explanation: 4 cause 2+2=4

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