Question

in an attempt to estimate potential future demand,
study asking some married couples how many cars the average family own. For each couple,
Company averaged and answers are tabulated as follows:

Number of Cars-Frequency
0-2
0.5-14
1-23
1.5-7
2-4
2.5-2

a) Calculate the mean and standard deviation
b) According to the Chebyshey's theorem, how many of the observations fall between 0.5 and 2?
how many actually fall in that interval?
c) If distribution is roughly bell-shaped, how many of the observations fall between 0.5 and 2?
how many actually fall in that interval?​

Answer 1

Answer:

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Answer 2

Answer:

Explanation:

X F FX X^2 FX^2

0 2 0 0.00 0.0

.5 14 7 0.25 3.5

1.0 23 23 1.0 23.0

1.5 7 10.5 2.25 15.75

2.0 4 8 4.00 16.00

2.5 2 5. 6.25 12.5

______________________________

N=52 53.5 70.75

Now we calculate standard deviations.

______________

✓ 70.75 _ ( 53.5)^2

so SD=✓ 52 (52 )^2

_______________

= ✓ 1.355 - 1.058

= .55

we also calculate Mean

53.5

so Mean = 52

Mean= 1.03

Variance = (sd)^2

= (.55)^2

= 0.3025

we know Mean +- 1 Sd = 68.72%

remaining u calculate from above picture which is I gave. how is it helps u tell me and give me 5stars. Thank you

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