Math / Data & Statistics

QuestionBOOKMARK CHECK ANSWER
Use the two-way frequency table below to answer questions \begin{tabular}{|l|l|l|l|} \hline & Android & iPhone & Total \\ \hline $7^{\text {th }}$ Grade & 45 & 47 & 92 \\ \hline $8^{\text {th }}$ Grade & 40 & 55 & 95 \\ \hline Total & 85 & 102 & 187 \\ \hline \end{tabular}
3 What is the relative frequency of someone having an iPhone and being in the $8^{\text {th }}$ grade? Round the nearest tenth of a percent. (a) Do NOT type in the percent sign $\square$ (b) What is the relative frequency of an android user being in the $7^{\text {th }}$ grade? Round the nearest tenth of a percent.
Do NOT type in the percent sign $\square$ (c) What is the relative frequency of a student being in the $7^{\text {th }}$ grade? Round the nearest tenth of a percent.
Do NOT type in the percent sign $\square$ NEXT Next

Studdy Solution

STEP 1

1. The two-way frequency table provides data on phone types (Android, iPhone) and grade levels ( $7^{\text{th}}$ and $8^{\text{th}}$ ).
2. Relative frequency is calculated as the ratio of the specific group to the total number of observations, expressed as a percentage.
3. The total number of students is 187.

STEP 2

1. Calculate the relative frequency of having an iPhone and being in the $8^{\text{th}}$ grade.
2. Calculate the relative frequency of an Android user being in the $7^{\text{th}}$ grade.
3. Calculate the relative frequency of a student being in the $7^{\text{th}}$ grade.

STEP 3

Identify the number of $8^{\text{th}}$ grade students with iPhones from the table:
$55$

STEP 4

Calculate the relative frequency of $8^{\text{th}}$ grade iPhone users:
$\text{Relative Frequency} = \left(\frac{55}{187}\right) \times 100$
Calculate:
$\text{Relative Frequency} \approx 29.4$

STEP 5

Identify the number of $7^{\text{th}}$ grade students with Androids from the table:
$45$

STEP 6

Calculate the relative frequency of $7^{\text{th}}$ grade Android users:
$\text{Relative Frequency} = \left(\frac{45}{187}\right) \times 100$
Calculate:
$\text{Relative Frequency} \approx 24.1$

STEP 7

Identify the total number of $7^{\text{th}}$ grade students from the table:
$92$

STEP 8

Calculate the relative frequency of students in the $7^{\text{th}}$ grade:
$\text{Relative Frequency} = \left(\frac{92}{187}\right) \times 100$
Calculate:
$\text{Relative Frequency} \approx 49.2$
The relative frequencies are: (a) 29.4 (b) 24.1 (c) 49.2

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Studdy Solution

STEP 1

STEP 2

1. Calculate the relative frequency of having an iPhone and being in the $8^{\text{th}}$ grade.
2. Calculate the relative frequency of an Android user being in the $7^{\text{th}}$ grade.
3. Calculate the relative frequency of a student being in the $7^{\text{th}}$ grade.

STEP 3

Identify the number of $8^{\text{th}}$ grade students with iPhones from the table:
$55$

STEP 4

Calculate the relative frequency of $8^{\text{th}}$ grade iPhone users:
$\text{Relative Frequency} = \left(\frac{55}{187}\right) \times 100$
Calculate:
$\text{Relative Frequency} \approx 29.4$

STEP 5

Identify the number of $7^{\text{th}}$ grade students with Androids from the table:
$45$

STEP 6

Calculate the relative frequency of $7^{\text{th}}$ grade Android users:
$\text{Relative Frequency} = \left(\frac{45}{187}\right) \times 100$
Calculate:
$\text{Relative Frequency} \approx 24.1$

STEP 7

Identify the total number of $7^{\text{th}}$ grade students from the table:
$92$

STEP 8

Calculate the relative frequency of students in the $7^{\text{th}}$ grade:
$\text{Relative Frequency} = \left(\frac{92}{187}\right) \times 100$
Calculate:
$\text{Relative Frequency} \approx 49.2$
The relative frequencies are: (a) 29.4 (b) 24.1 (c) 49.2

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Studdy Solution

STEP 1

STEP 2

1. Calculate the relative frequency of having an iPhone and being in the 8th8^{\text{th}}8th grade.2. Calculate the relative frequency of an Android user being in the 7th7^{\text{th}}7th grade.3. Calculate the relative frequency of a student being in the 7th7^{\text{th}}7th grade.

STEP 3

Identify the number of 8th8^{\text{th}}8th grade students with iPhones from the table:55 55 55

STEP 4

STEP 5

Identify the number of 7th7^{\text{th}}7th grade students with Androids from the table:45 45 45

STEP 6

STEP 7

Identify the total number of 7th7^{\text{th}}7th grade students from the table:92 92 92

STEP 8

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1. Calculate the relative frequency of having an iPhone and being in the $8^{\text{th}}$ grade.
2. Calculate the relative frequency of an Android user being in the $7^{\text{th}}$ grade.
3. Calculate the relative frequency of a student being in the $7^{\text{th}}$ grade.

Identify the number of $8^{\text{th}}$ grade students with iPhones from the table:
$55$

Identify the number of $7^{\text{th}}$ grade students with Androids from the table:
$45$

Identify the total number of $7^{\text{th}}$ grade students from the table:
$92$