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babymother [125]
3 years ago
7

15% of the students in Mr. Riley's social studies classes watch the local news every night. Mr. Riley found that 136 of the stud

ents do not watch the local news. How many students are in Mr.Riley's social studies classes?
Mathematics
1 answer:
Volgvan3 years ago
4 0
What we are saying here is 136 students represent the rest of the students which is 100% minus 15% or 136 represents 85%. All we need to do ( there are several ways but I prefer this one) divide 136 by 85 then multiply by 100 to find answer which is 160
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Using the frequency table given, find the mean, median, and mode.
aalyn [17]

Answer:

Mean = 69

Mode = 66

<em />Median = 69<em />

<em />

Step-by-step explanation:

Given

The frequency table

Required

Determine the mean, median and mode

Calculating Mean

Mean = \frac{\sum fx}{\sum f}

Where

fx = product of frequency and inches

f = frequency

So;

Mean = \frac{63 * 2 + 65 * 1 + 66 * 4 + 67 * 3 + 68 * 1 + 69 * 2 + 70 * 2 + 71 * 1 + 72 * 3 + 74 * 2 + 75 * 2}{2 + 1 + 4 + 3 + 1 + 2 + 2 + 1 + 3 + 2 + 2}

Mean = \frac{1587}{23}

Mean = 69

Calculating Mode

Mode = 66

Because it highest frequency of 4

Calculating Median

Median = \frac{\sum f}{2}th\ position

Median = \frac{2 + 1 + 4 + 3 + 1 + 2 + 2 + 1 + 3 + 2 + 2}{2}th\ position

Median = \frac{23}{2}th\ position

Median = 11.5th\ position

Approximate

Median = 12th\ position

At this point we, need to get the cumulative frequency (CF)

<em>Inches ---- Frequency ---- CF</em>

<em>63 -------------2------------------2</em>

<em>65 -------------1------------------3</em>

<em>66 -------------4------------------7</em>

<em>67 -------------3------------------10</em>

<em>68 -------------1------------------11</em>

<em>69 -------------2------------------13</em>

<em>70 -------------2------------------15</em>

<em>71 -------------1------------------16</em>

<em>72 -------------3------------------19</em>

<em>74 -------------2------------------21</em>

<em>75 -------------2------------------23</em>

From the above table

Since the median fall in the 12th position, then we consider the following data

<em>69 -------------2------------------13</em>

<em>because it has a CF greater than 12</em>

<em />

<em>Hence;</em>

<em />Median = 69<em />

7 0
4 years ago
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