Studdy AI Logo
Math  /  Data & Statistics

QuestionThe frequency table shows the temperatures at noon for 7 days (in ∘C{ }^{\circ} \mathrm{C} ) \begin{tabular}{|c|l|c|} \hline Temperature & Tally marks & Frequency \\ \hline 21 & II & 1 \\ \hline 22 & & 0 \\ \hline 23 & ∥\| & 2 \\ \hline 24 & ∥∥\|\| & 3 \\ \hline 25 & II & 1 \\ \hline & & Total =7=7 \\ \hline \end{tabular}
Match the statistical value with the term (2 points)
Mean:

Studdy Solution

STEP 1

1. The temperatures are given in a frequency table format.
2. The mean is calculated as the sum of all data points divided by the total number of data points.

STEP 2

1. Calculate the sum of all temperatures.
2. Divide the sum by the total number of days to find the mean.

STEP 3

List the temperatures and their frequencies:
- Temperature 21∘C21^{\circ} \mathrm{C} occurs 1 time. - Temperature 22∘C22^{\circ} \mathrm{C} occurs 0 times. - Temperature 23∘C23^{\circ} \mathrm{C} occurs 2 times. - Temperature 24∘C24^{\circ} \mathrm{C} occurs 3 times. - Temperature 25∘C25^{\circ} \mathrm{C} occurs 1 time.

STEP 4

Calculate the sum of all temperatures:
(21×1)+(22×0)+(23×2)+(24×3)+(25×1)=21+0+46+72+25=164(21 \times 1) + (22 \times 0) + (23 \times 2) + (24 \times 3) + (25 \times 1) = 21 + 0 + 46 + 72 + 25 = 164

STEP 5

Divide the sum by the total number of days to find the mean:
Mean=1647≈23.43\text{Mean} = \frac{164}{7} \approx 23.43
The mean temperature is approximately:
23.43∘C \boxed{23.43^{\circ} \mathrm{C}}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord